Suppose f and g are differentiable functions with the values given below. f(5) = 1, f'(5) = 6, g(5) = -3, g'(5) = 2 Find h' (5) if h(x) = f(2). g(x)
Q: An electron is accelerated from rest in a small particle accelerator via a constant electric field E…
A: Given, Electric field, E=10.5×1015 N/m distance in which electron is accelerated, d=15.5 m
Q: Two blocks with masses M₁ and M₂ hang one under the other. For this problem, take the positive…
A: Given data: Two blocks hang one under the other The masses of the blocks are M1 and M2 g =…
Q: A concerned mother is dressing her child for play in the snow. The child's skin temperature is…
A: Given data :- temperature of child's skin Ts = 35° C = (35 + 273) K = 308 Koutside temperature To =…
Q: Where does the kinetic energy of sound arrive after traveling through the atmosphere?
A: Energy is a conserved quantity. so energy when sound travelled from one point to another is…
Q: A 200 Hz wave has wavelength of 0.4 m. What is velocity of wave
A: Given data : Frequency is represented by f Wavelength is represented by λ Required : Velocity of…
Q: Find the kinetic stored in ball having mass 0.5 kg moving with velcoity 3.3 m/s. Report answer in…
A: Given data: Mass (m) = 0.5 kg Velocity (v) = 3.3 m/s Required: The kinetic energy stored in the…
Q: You have two stones in your hands, and you are standing on a bridge. You throw the first stone with…
A:
Q: 14. A boy pulls a 28 kg box from his room to their garage. If the distance from the former to the…
A: Write the given values with the suitable variables. m=28 kgd=7500 mm=7500×10-3 m Here, m and d are…
Q: Suppose you have a wind speed gauge like the pitot tube shown in the figure below. V₁=0 2 hx-pv² By…
A:
Q: A block with mass m = 12 kg rests on a frictionless table and is accelerated by a spring with spring…
A: Note:- “Since you have posted a question with multiple sub-parts, we will solve first three…
Q: An explorer in Antarctica leaves his shelter during a whiteout. He takes 50 m northeast, next 180 m…
A: Given:- A = 50 m NE B = 180 m 72o NW C = 150 m S Find:- The magnitude of the resultant vector is?…
Q: e) A crate being pushed and pulled by the forces while moving to the right with acceleration a on a…
A:
Q: Figure 24-34 shows a thin plas- = rod of length L=20.0 cm and niform positive charge Q = 33.2 fC ing…
A: We are authorized to answer one Question at a time, since you have not mentioned which question you…
Q: A 4.67 kg substance enters at steady flow in a pipe. After 2 minutes, it leaves the pipe with 5.5 m³…
A: Given that, mass of substance M = 4.67 kg discharge at exist V =5.5 m3
Q: If the frequency of a photon increases, then its energy will
A: Since Energy of photon is directly proportional to the frequency of photon E = hv
Q: Although neutron star mergers have been observed, what is the source of most of the gravity waves…
A: Gravitational waves can be generated by many different events such as the merger of Binary Neutron…
Q: A particle of dust lands 48.8 mm from the center of a compact disc (CD) that is 120 mm in diameter.…
A: Given data: The position of the particle x=48.8 mm=0.0488 m The diameter of the CD d=120 mm=0.12 m…
Q: block with mass m1 hangs from a rope that is extended over an ideal pulley and attached to a second…
A: Givenθ=20° m1= 5.00 kg, m2 = 3.75 kg, a=0.140 m/s2
Q: Calculate (3.16 x 10^7) x (2.998 x 10^5) Express your answer to three significant figures
A: Given data, 3.16×107×2.998×105
Q: Find the quantum volume, in m3, of a nitrogen molecule at a temperature of 293 K.
A: Quantum volume is given by vQ= h2πmkT3
Q: A 2.79-μF and a 5.86-μF capacitor are connected in series across a 30.0-V battery. A 6.44-μF…
A:
Q: A steel ball of mass 0.800 kg is fastened to a cord that is 69.0 cm long and fixed at the far end.…
A:
Q: As shown in the figure, air with a volumetric flow rate of 16,000 ft3/min enters an air-handling…
A: to find: The mass flow rate of air entering the air handling in lb/s the volumetric flow rate in…
Q: a) Find the electric field and electric potential 2.32cm from a 3.41 nC charge. b) If an electron…
A: Charge q=3.41 nC =3.41×10-9 C Distance r=2.32 cm =2.32×10-2 m
Q: Time t (seconds) 0.4326 0.8625 1.2978 1.7304 Displacement d (inches) 6 12 18 24 Average…
A:
Q: Supply all missing information with the correct numerical values. Do not include the units. Round…
A:
Q: m A motorcycle accelerates uniformly from rest at 7.9 km to reach a speed of 100 We want to find the…
A: Here, initial speed V0 =0 Final speed V = 100 km/h = 27.78 m/s Acceleration a = 7.9 m/s²
Q: A 4.50 kg box is suspended from the end of a light vertical rope. A time-dependent force is applied…
A: Given data: The mass m=4.50 kg The time v=2.00 m/s2t+0.600 m/s3t2 The velocity vt=7.00 m/s
Q: Suppose the water at the top of Niagara Falls has a horizontal speed of 3.16m/s just before it…
A:
Q: A little girl pushes on her toy bus by applying a force of 15N oriented 25 degrees below the…
A:
Q: An engineer is investigating energy loss through windows. The windowpane of interest is 0.450 cm…
A: Given, the thickness of the windowpane t = 0.450 cm Area of the windowpane, 0.82×1.95 m2 thermal…
Q: A 76-kg man standing on a scale in an elevator notes that as the elevator rises, the scale reads 829…
A: The mass of the man standing in the elevator is 76 kg. So the normal weight of the man on earth is…
Q: 10 J of heat are removed from a gas sample while it is being compressed by a piston that does 20 J…
A: Given data: Heat removed from the gas = 10 J Work done on the system = 20 J Required: The change in…
Q: 1. When .x=0, the spring is unstretched. For the motion when initially x₁ = 100 mm to the moment…
A:
Q: A puck slides on a very slippery ice surface. What force keeps it moving to the goalie? the slap…
A: The forces acting on an object can be represented in a free-body diagram. The net force acting on an…
Q: Which of the following is correct? The angle of friction is equal to depression angle at impending…
A:
Q: 3. Make a guess: (a) Without knowing all the physics behind, use dimensional analysis to derive the…
A:
Q: 2) The speed of sound in air is 343 m s. If the frequency of a sound wave is 220 Hz, what is the…
A: Given value--- wave speed = 343 m/s. frequency = 220 Hz. We have to find--- wavelength?
Q: The (non-conservative) force propelling a 1.40 x 103-kg car up a mountain road does 6.90 x 106 J of…
A:
Q: Find the kinetic stored in ball having mass 0.5 kg moving with velcoity 3.3 m/s. Report answer in…
A: As we know, any moving object stores kinetic energy, And Kinectic Energy is given by :…
Q: (a) Use conservation of momentum to find the velocity (magnitude and direction) of the second…
A:
Q: what is the magnitude of the resultant force in newtons
A:
Q: Dominador, who is standing on the edge of an 80-m tall cliff facing the sea, kicks a ball…
A:
Q: A ball is thrown from an initial height of 3.8 m above the ground. The initial speed is 18.6 m/s at…
A: Given data: Initial height, h=3.8 m Initial speed of the ball, u=18.6 m/s Angle at which the ball…
Q: V R₁ M ww R2 12 R3
A:
Q: A 200 Hz wave has wavelength of 0.4 m. What is velocity of wave
A: Given value--- frequency = 200 Hz. wave length = 0.4 m. We have to find--- wave speed?
Q: In 1865, Jules Verne proposed sending men to the Moon by firing a space capsule from a 220-m-long…
A:
Q: Sarah, an experienced bungee jumper, leaps from a tall bridge and falls toward the river below. The…
A:
Q: Algebra relation. A catapult can fling an object with initial speed vo and launch angle so that it…
A: Given Information:- Initial speed of the object is v0 Launch angle θ=60.3° Horizontal distance…
Q: Find the Mass if force is equal to 10 N and acceleration 2 m/s2
A: Given data : Acceleration is represented by a Force is represented by F Required : Mass
Step by step
Solved in 2 steps with 2 images
- Let f(x)= 4xex - sin(5x). Find the third derivative of this function. Note ex is denoted as e^x below. Select one: (12+4x^3)e^x + 125sin(5x) 12e^x + 125cos(5x) not in the list (12+4x)e^x + 125cos(5x) (8+4x)e^x + 25sin(5x)Find the gradient of following scalar function: |5x'+7y+3=* r = VFind the gradient of the following functions : A) f(x, y, z) =x² +y³ +z⁴ B) f(x, y, z) =x²y³z⁴ C) f(x, y, z) =e^x sin(y) Ln z
- Verify that the given function y is a solution of the initial value problem that follows it. y(t) = 16e2t - 10; y'(t) - 2y(t) = 20, y(0) = 6Calculate the first derivative of the function f(x) = 2x e X at the point x=1.19. Express the answer with two decimal places.Find the partial derivative of the x component of the given function: -x(x2+y2+z2)-3/2
- Evaluate the function f(x) = 0.15x^3 − 3.18x^2 − 2.4x+ 17.1 for x=0.14, where, xis rounded. Compute the absolute error and error bound.P-1 Show the given set of function is orthogonal and find the Norm of the function in given set {cos x, cos 3x, cos 5x,...); [0, π/2] a) {sin x, sin 3x, sin 5x, ...); [0, π/2] b)The Taylor expansion of the function In(cosh x), where x is real, about the point x = 0 starts with the following terms: 1 4 (a) x² + X +.... (b) = x² - 1/2x¹² +.. 2 (c) (1) 1/1 + +... - + 1 6 + 6
- Determine whether F is conservative. If so, find a scalar function f, such that V = Vf a) F = y sin (2r)i + sin (2²)} b) F = (3x²yz – 3y)î + (x³z – 3x)j+ (x³y+22)kConsider the curve described by the parametric equations x = 3 cos t, y = 2 sin t. Compute the slope of the line tangent to the curve at t =. 2/3 1/3 -1/3 O -2/3Find the derivative of the function. f(x) = (1 + x*)²/3