-3x If h (x) = ln(x + 4 + e−³ª), then h′ (0) =? 01/10 O nonexistent 0 210 210

Q: Consider the following parametric curve. Find dy dx dy dx dy dx = Find the value of X = sin (6t) +…

A: Equation of the line : (y-y1) .

Q: x³ (4x - 4)5 Let f(x) = 3x² - 3 If we use the method of logarithmic differentiation to find f'(x),…

A:

Q: Calculate the L4 approximation for f(x) = cos² x on TU I 4 2

A: The left Riemann sum∫abf(x)dx≈Δx(f(x0)+f(x1)+f(x2)+⋯+f(xn−2)+f(xn−1))Δx=b−an

Q: Use Substitution method 4x - 3y = 5 x + 2y = 4

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the vertex, focus, and directrix of the parabola, and sketch its graph. (x - 6)2 = 2(y + 4) = 0…

A:

Q: What is the minimum degree of the polynomial function whose graph approximates each given graph?…

A: Consider the graph

Q: Find all values of x and y such that f (x, y) = 0 and fy(x, y) = 0 simultaneously. f(x, y) = x² +…

A: The given function .The aim is to find all values of  and  such that .

Q: Express 0.132 as a geometric series

A: The given number .The aim is to write the number as a geometric series.

Q: What is the center of the sphere given by the equation x² − 6x + y² – 2y + z² + 8z + 17 = 0? -…

A:

Q: 4. Let f(x, y) = (a) (1,-1). Find the slop of the surface z = f(x, y) in the x-direction at the…

A: given function

Q: Find the maximum and minimum values of the function f(x, y) = 2x² + 3y² - 4x - 5 on the domain x2 +…

A:

Q: In 1994, the moose population in a park was measured to be 4460. By 1997, the population was…

A:

Q: Find f. f(x) = f"(x) = 8x³ + 5, f(1) = 6, f'(1) = 2

A:

Q: If y(x) is the solution of the initial value problem y′′ +y=0, y(0)=1, y′(0)=1, then− 2≤y(x)≤…

A:

Q: Evaluate the following limit. lim x³e -x² xxx = Note: Input DNE, infinity, and -infinity for does…

A:

Q: Find the general solution of the ODE: y' y²-6y+10 = 1 =

A:

Q: If u and v are the vectors below, solve the following equation for the vector x. 2 4 u= -1 v=|–1 5…

A:

Q: Put the following function in the form P(t) = Poekt. P(t) = 110(0.72) NOTE: Round your answer to…

A: If we need it in the form P = P0 ektGiven, the P0 term is there (it is 110)The only thing we need to…

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A:

Q: The graph of y = f(x) is given below. -5 150 num -4 lim f(x) AI-1 -3 -2 5 4 3 2 -1 -1/ 1 2 4…

A: A graph of the function  is given.The aim is to find the given limits.

Q: ∞ Σ7(-0.8) is an alternating geometric series, which k=0 diverges converges. Σ7(-0.8) k - k=0 Enter…

A: To determine whether the alternating geometric series diverges or converges.

Q: Given C = x³ – 6x² + 9x +4 13 a) Find C'(x) = Find any critical values of C'(x) b)x= Use interval…

A: Given,

Q: An account earns an APR of 4.7% compounded as often as imaginable ("compounded continuously"). The…

A: The given rate is, r=4.7%=0.047 compounded continuously.For the continuous compound, the annual…

Q: 6. Let f(x, y) = sin(x + y). Answer the following questions. (a) ) Find the gradient f(x, y). (b)…

A:

Q: 1) State the order of the given ordinary differential equation. Determine whether the equation is…

A: To determine the given equation is linear or non linear.

Q: 2. (y +y²)dx - (y²- 2xy+x)dy = 0

A:

Q: Solve the second order Differential Equations. 4y - 12y + 5y = 0

A: The given differential equation

Q: Math 152 metric IHU 3. In this problem we'll evaluate the integral cos²(z) sin³ (2) dr. (a) First,…

A:

Q: If f(x) is a linear function, f(-2) = 4, and f(3) = 2, find an equation for f(x) f(x) =

A:

Q: Minimize Q=2x² +2y², where x+y=4. X = *-8 y = HE (Simplify your answer. Type an exact answer, using…

A:

Q: Let f(x) = 2x³ + x²-x+3 on the interval [-1.5, 5]. Use calculus and algebra to justify all answers.…

A: The given polynomial function is  on the interval .

Q: b) Consider the triangle formed by the side of the house, ladder, and the ground. Find the rate at…

A:

Q: (a) Find and sketch the domain of the function f(x,y)=√x+2+√√√y+3 (b) Evaluate the limit -8xy lim…

A:

Q: 5 4 --3- 2 -1

A:

Q: Find the absolute maximum and absolute minimum of the following function on the given interval. 1…

A:

Q: Find for the following: (a) xy = cot(xy) dy dx (b) x²y = y

A: To find  for the following: (a) (b)

Q: 3 Use algebra to find the point at which the line f(x) T- 4 59 6 h(x)= - Y 4 3 C Write the values of…

A:

Q: Find all values of x and y such that f(x, y) = 0 and f(x, y) = 0 simultaneously. f(x, y) = x² + 4xy…

A: To find all values of  such that  simutaneously.

Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x² + y² = 4. √20 maximum value…

A:

Q: The position vector r describes the path of an object moving in space. Position Vector Time r(t) =…

A: Given:The position vector r(t) =

Q: 3 11 (1 + ³²) ² lim (1+

A: L=limx→∞(1+3x)x11

Q: Suppose the solid W in the figure is one- quarter of a circular cylinder of height 4 and radius 6…

A: Suppose the solid W in the figure is a one quarter of a circular cylinder with a height 4 and radius…

Q: Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b]. If the…

A:

Q: Roberto has plans to build a tree house in his backyard. He takes measurements from the ground and…

A: Here,

Q: √3 4 16 (x-7)(x + 9) dx

A: I=∫3416(x−7)(x+9)dx

Q: (Order your answers so the x-coordinates are in order from least to greatest.) f has ---Select---…

A:

Q: Evaluate the indefinite integral. +C 5- 4 sin x Cos x dx

A:

Q: Find (A) the leading term of the polynomial, (B) the limit as x approaches oo, and (C) the limit as…

A:

Q: Suppose $23,000 is invested in an account with an APR of 4.9%. If the interest is compounded…

A: Here we have, P=23000r=4.9%=0.049t=10 years.The compound interest is given by,

Q: Let f(v) = v +17 v + 12 Determine the critical values of f. Write exact answers. Do not round off.…

A: Given,