If ƒ(x) = 2x sin x cos x, find ƒ'(x)= Find f'(4) =

Q: 16. Which of the following gives the area of the region bounded by the curve y = ei and the lines z…

A:

Q: 3 2 1 0 1 (x+y) ³ dxdy

A:

Q: Graph the curve. r = 8 + sin(40) y 6 4 -6 -4 -2 2 4 6 -5 5 -5 5 8 0 0 Ø -5 5

A: We have to graph the curve

Q: evaluate the integral. Your answer should not contain f, which is a differentiable function with the…

A:

Q: 3 In the standard equation for a conic section Ax² + Bxy + Cy² + Dx + Ey + F= 0, if B2-4AC > 0, the…

A:

Q: Find the limit. lim (t i − 7 j + t² k) 1-4

A: The solution is shown in step-2

Q: A 20-ft by 30-ft swimming pool is filled with water. The depth is measured at 5-ft intervals,…

A: 0510152025300245678852457898102468101210152345687202222344

Q: Let f(x) = 14x²(x - 4) + 11. Find the critical points c that correspond to local minima. (Use…

A: Firstly to get critical points we find the first derivative of the function and then let it zero.…

Q: The triangular face of a gabled roof measures 34.9 ft on each sloping side with an angle of 133.7°…

A:

Q: Let f and g be differentiable. Using the given information, compute for K'(2) when K(x)=f(x)g(x).

A: given K(x)=f(x)g(x) To find : K'(2)

Q: Evaluate the definite integral. [² (e¹³1+ e +1 +1 k) dr dt O e13 - 1 13 O e¹3 - 13 0 0 O e13 O 1 · i…

A: The given intergration is

Q: Please show your answers to at least 4 decimal places. Find the directional derivative of the…

A:

Q: Given the following rectangular prism, express each of the following as a single vector. G F a)…

A: Note : As you posted multiple sub parts I need to solve only the first three sub parts.

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the int curve…

A:

Q: Question 2 1 x² sin- Find the horizontal asymptote of the function y=- x x+1

A:

Q: true or false

A:

Q: (b) J -7x6 + 5 x³ + 2x dx

A: The given integral is

Q: Find 1₁ -2x + y da, where R is the parallelogram enclosed by the lines 2x+6y R -2x+y=0,- 2x + y = 4,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Determine the distance between 2 + 4/and -1 + / Round to the nearest tenth if necessary. Plot these…

A:

Q: Let z(x, y) = 7e sin(y) where x = t³&y= 3nt. dz dt Calculate dx dt = dy dt Now use the chain rule to…

A:

Q: Suppose that the power series Cn (x-2)" converges when a = 4 and diverges when x = 8. n=0 In each of…

A:

Q: Find the the surface area of of the indicated surface The portion x-y-2z=4 with x>0, y≤0, and z≤0.…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = tan x, y = x, and x =…

A: The region enclosed by the given curves is shown below:To find the volume of revolution about the…

Q: The radius of a circle increases at a rate of 2 m/sec. Find the rate at which the area of the circle…

A: The radius of a circle increases at a rate of 2 m/ sec. Find the rate at which the area of the…

Q: p+ x² = 100 where p is measured in dollars and x is measured in thousands of tires. Use implicit…

A:

Q: Let z(x, y) = -9e sin(y) where x = t³ & y = 2πt. dz dx dy by first finding & and using the chain…

A:

Q: Find the point(s) of intersection between the following two polar curves on the interval [0, 360]: r…

A:

Q: Let f(x) = Then f'(x) = 7 sin x 2 sin x + 6 cos x TT The equation of the tangent line to y = f(x) at…

A: The given function is; f(x)=7sinx/(2sinx+6cosx)Find f'(x) And find equation of tangent line.

Q: FInd the second order partial derivative by using the chain rule ∂z/∂u if z = f(x, y) = 3e −2x ln y…

A: Solution is given below in step 2.

Q: Let f(x, y) = 6xe ³, r(t) = (3t², t² – 2t). Use the Chain Rule to calculate ƒ (r(t)) at the value t…

A: Given,  By using the chain rule to calculate  at the value t = 0.

Q: -4 3. y = (²-²)sec¯¹ (4 + x²³)

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: A cylindrical drill with radius 2 is used to bore a hole through the center of a sphere of radius 4.…

A: Given that:

Q: Let -4x3 - 3y³ + 5z3 - 2xyz + 482 = 0. Oz Oz Use partial derivatives to calculate and 3x ду дz Ax дz…

A: The given equation is; -4x3-3y3+5z3-2xyz+482=0Find derivative with respect to x and y at point…

Q: Consider the following initial value problem z" +52=0, 2(0)-6, z'(0)-5. (a) Using X for the Laplace…

A:

Q: Please show your answer to 4 decimal places. Find the direction in which the maximum rate of change…

A:

Q: Find an equation for the conic that satisfies the given conditions. ellipse, center (-3, 3), vertex…

A:

Q: Let f(x) = -2e+¹+e⁹. −2e*+1 ƒ'(0) =

A: To find:

Q: Find the volume of rotation for the region enclosed by the graphs of y = x³ + 2, y = 4 - x² and x =…

A:

Q: A balloon is rising vertically above a level, straight road at a constant rate of 4 ft/sec. Just…

A:

Q: Ау -Þ N -2 A -0 ਪਰਦੇ ਦੇ ZRCIS 0 1 S 3 y g(x) 6 X

A:

Q: Find the foci of the following hyperbola: (0+1)² (x-1)² = 1 O (-1+√34,-1); (-1- √34,-1) O (1,4); (1,…

A:

Q: (7) Find the average value of the function over the given interval (a) f(x)=9-x², [-3,3] (b) f(x) =…

A:

Q: Evaluate the limit along the stated paths, or type "DNE" if the limit Does Not Exist: xy + y³ lim…

A:

Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

A: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the  amount present at…

Q: 15. A spherical fish tank with a radius of 1 ft is filled with water to a level of 6 in below the…

A: Volume of sphere is given as follows where r is the radius of the tank As we know that the total…

Q: Calculate the moment of inertia of the shaded area about the x-axis. 96 mm Answer: Ix = 96 mm 57 mm…

A:

Q: Let f and g be differentiable. Using the given information, compute for J'(0) when J(x)=f(x)/g(x).

A:

Q: y=x²3x (Ans. x-35 (xln 3+2))

A: find the derivative of the function

Q: Find the lengths of the sides of the triangle with the indicated vertices, and determine whether the…

A: Given vertices of triangle

Q: Use l'Hôpital's Rule to find the limit 3-3 sin 0 2+2 cos 20 lim E|N 0-2 3-3 sin0

A: