Evaluate ³*-2 dx 3x-2 e³x-2 + C O (3x-2) e³x-2 +C Ⓒ (3x-2) Ce³x-2 3x-2 3 + C

Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

A:

Q: Suppose y cos 0sin 0. Answer the following. dy de 6) Separate the differential equation, then…

A:

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

A: use the cross product of the vect0r.

Q: If the curve y = 4x², 2 ≤ x ≤ 5, is rotated about the x-axis, what is the integral that represents…

A: We can find the answer as below.

Q: Express the series in terms of elementary functions and find the where the series converges. ∞ Σ (1…

A:

Q: Find the linearization of f(x, y) = −x² + 2y² at the point (3,-1). Use the linearization to estimate…

A:

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x²+x-1 Ilm…

A:

Q: Find the equation of the tangent line to the curve y = 6x cos x at the point (7, The equation of…

A:

Q: Solve for t such that 0 < t < 2π 16 sin(t)cos(t) = 4 sin(t) t = List exact radian answers when…

A:

Q: Find the transition points. -x)1/3 f(x) = x(17 –) (Use symbolic notation and fractions where needed.…

A: To solve the following problem of finding the transition point.

Q: Question 11 Consider [x cos²x dx − x sin³x dx = = x+ƒ(x) + — 8(x) + - +C. What is the value of f 8

A:

Q: If I have a continuous, smooth (no sharp points) function with 3 local maxima and 2 local minima,…

A: Since the function is continuous , with 3 local maxima and 2 local minima.the function will have 5…

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A:

Q: 1 3V + η Σ η=1 4

A:

Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q -5-4-3-2 25- 20- 15- 10- 5-…

A:

Q: DO

A: Please refer to the image below

Q: Evaluate the given integral by making an appropriate change of variables. J 9 X - BY DA, where R is…

A: NOTE: Refresh your page if you can't see any equations. . where R is the parallelogram enclosed by…

Q: dy 3-t=8 dt

A: As per our guidelines we only solve one question and rest of the question will be reposted. Hint: To…

Q: If a function has a two successive maxima at 4 and (7,4) and a range of [-2,4], determine the…

A: answer is in next step. please give a like !!

Q: Consider the following planes. 3x + 6y-z = 126 x - 12y + 2z = 0 (a) Find the angle between the two…

A:

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A:

Q: Points A and B are separated by a lake. To find the distance between them, a surveyor locates a…

A:

Q: Without using a calculator, for the following, determine the definite integral that represents the…

A: Here, the given curve is r=3-4cos θ. The graph of the curve is: To find the area of the shaded(red)…

Q: 2T Rewrite cos x + 3 in terms of sin(x) and cos(x)

A:

Q: Find and classify the relative extrema of the function, if they exist. You MUST use the…

A: Given :fx=2xx2+1

Q: Evaluate the limit. lim X→∞ 5 (₁ + 2/2 + 1/2)² X

A:

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

A:

Q: Find d²y/dx². y=xsin x 10 cos x

A:

Q: Find the area bounded by the given curves. ')y=x3, y=x2

A:

Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2-2 at the point (3,1).…

A:

Q: Evalúe el siguiente integral: .8 3.1 S³³1-√x -1 x 3 clx

A:

Q: Laplace Transforms. 1. Determine the Laplace Transform of the following functions: a. f(t) = 5te-t +…

A:

Q: Evaluate the integral. I sin sin (3x) cos(6x) dx = NOTE: Enter the exact answer. + C

A: We can answer the integration as below.

Q: Given x = y² + y + 1 from 0 ≤ y ≤ 2

A: To find the arclength of the following curve

Q: an = 2 + (−1)n

A:

Q: Question I The volume of the solid generated by revolving the region bounded by x² = 4y and y² = 4x…

A:

Q: If the region under the graph of +++/-/1 -- y = x² + from x = 1 to x = 5 is rotated about the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: 8 Σ η=1 1 3Vn + n η

A: Calculate the limit of the given term as n reaches infinity.

Q: Find the volume of the solid region in the first octant inside the cylinder x²+y2=4 and between the…

A:

Q: Let f(x) = (c + 1)x+ In(cos x). For what value of c is f'(/4)=6

A: This question can be solved using the concepts of differentiation.

Q: State the equation of the oblique asymptote of the function g(x) = 4x² +5x+2 x + 2

A:

Q: Find the radius of convergence for n! n=1 -xn nn

A:

Q: ollowing when trigonometric substitution is used?

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

A:

Q: Suppose the function y=h(x) is nonnegative and continuous on [x3], which implies that the area…

A: We want to find area bound by the astroid

Q: 3. Find a power series representation for the function f(x) = = 1 x+2 and find its interval of…

A:

Q: Consider the following. u = (-7,3, -2), v = (0, -4,-3) (a) Find the projection of u onto v. (b) Find…

A:

Q: Find an explicit solution of the given initial-value problem. y2 - y(4) = 4 x²-1 dy dx

A:

Q: Solve the length of the unknown side. Round each answer to the nearest tenth. 22 in 29 4

A: The given triangle has measures 22, 29 and 45°

Q: Consider the following function and its graph. f(x): X x² + (b) Use the graph to determine the limit…

A: