4(x 1)(x+1)(x+3) = (x+3)(x-4) -3 x²-16 (d) j(x) = (e) k(x) = =

Q: Suppose f (x, y) = −3x² + 1xy − 3y², P = (−1, −1), and u = (20, 20). A. Compute the gradient of f.…

A:

Q: Find the velocity, acceleration, and speed of a particle with position function r(t) = (-1t sint,…

A:

Q: Compute the following.• Arc length of y = (1 + x)2 with 1 ≤ x ≤ 4.• Area of the surface of…

A: The length of the arc after calculation is 21.22 units.The surface area of revolution comes out to…

Q: Cost, revenue, and profit are in dollars and x is the number of units. If the daily marginal cost…

A: Given:marginal cost for a product fixed cost = $700To find:Total cost functionAs we know- MC is the…

Q: Please solve

A: Therefore, the required answers are A) C=65x+1619B) The graph is given below.C)Here slope(m=65)The…

Q: Let f(x) = x³ - 8x² - 12x + 3. (a) Find all partition numbers of f'(x). (Enter your answers as a…

A:

Q: 2. Consider the sequence given by an = n! for n ≥ 0. (Recall how factorials work: 0! is defined to…

A:

Q: 6. The quadratic Taylor approximation of f(x, y) near (x, y) = (a, b) is given by f(x,y) ≈ Q(x, y) =…

A: Given: To Find: To  find the quadratic Taylor approximation of .

Q: K Y R = G Match each equation with a graph above y = 3(1.3)² - ✓ y = 3(1.58)* ✓y=3(0.72) y = 4(1.3)*…

A: y=3(1.3)x=blue (B) y=3(1.58)x =Orange(O) Both the above graph exponential and base is greater than…

Q: If f(x) = sin(x³), find ƒ'(x) Find f'(2)

A:

Q: Find the curvature correctly

A:

Q: Consider the Morse Potential, 2 ax V(x) = D. (1 − e¯ªx)² - where x is the displacement of the bond…

A: The solution is given below.Explanation:

Q: 1. Consider this series: 10 20 3 9 (a) Write the series using sigma notation. 5+ + 40 80 27 81 + ()…

A:

Q: Suppose that the marginal propensity to save is ds 0.20 (in billions of dollars) dy and that…

A:

Q: Problem #2: Given f(x,y) = point (1, 1)? + 4xy, which of the following vectors points in the…

A:

Q: Find the volume generated by rotating the region bounded by y = ln(x), the x-axis and the vertical…

A:

Q: Compute the integral ∫2x+1/x3-x2+x dx

A: ∫(x3−x2+x)(2x+1)​dx=ln∣x∣−(21​)ln∣x2−x+1∣+C.Explanation:To compute the integral∫(x3−x2+x)(2x+1)​dxwe…

Q: A bank features a savings account that has an annual percentage rate of r = 3.7% with interest…

A:

Q: dy 1 Find dx if y= 5x-9 x=1

A:

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A: z is the weekly number of pounds of acetate fiber.x is the number of skilled workers at the plant.y…

Q: Which of the following limits does not yield an indeterminate form? 4x3 x0 cos(x)-1 (A) lim (B) lim-…

A: The indeterminate form:

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the marginal…

A:

Q: Calculus 2 Let A E RNXN be a symmetric, positive definite matrix and b E RN a vector. If x ERN,…

A: The integral Z(A, b) as a function of A and b is given by: Z(A,b)=e21​bTA−1b(2Π)Ndet(A−1)​ This…

Q: pls solve using differential calculus

A: Below complete solution is Given.Explanation:

Q: The population of a virus in a host can be modeled by the function W that satisfies the differential…

A: Note:-Since you asked multiple questions which are not interlinked, according to our policy we can…

Q: Find the unit vector of maximum increase for the function f(x,y,z) = x2+3y2+2z2 at the point (1,1,2)

A:

Q: Find all max and mins on the given intervals using the first derivative test. Make sure to show all…

A: Given:To find:minima and maxima.

Q: (2.) r(t) = (t, cos(2t), sin(2t)), t = [0, π] describes one circular arc of a helix. (a. Determine…

A:

Q: The graph of the function f is shown below. Determine the value of lim simplest form. -10 -9 -8 -7…

A:

Q: find the arc length of the curve on the given interval.

A: The objective of this question is to find the arc length of the curve defined by the vector function…

Q: 18.2 Well water having a total hardness of 300 mg / L as CaCO , is softened by split treatment . A…

A: The objective of the question is to calculate the regeneration period, the hardness of the finished…

Q: (a) In e² = (b) elh3. (c) en √3 (²) e4 (d) In

A: (a)A=ln⁡e7Using property of logarithmloga⁡mn=nloga⁡m

Q: Determine the limit shown below in simplest form. x² X lim x1x² - 1 -

A: given limit

Q: Find one value of x that solves the equation by using the inverse sine or cosine function on your…

A: Ques 1 : (a) -0.253 (b) 1.328   Ques 2 : 1→b2→c3→e4→a5→fExplanation:

Q: 5x+2x+3 f(x) = √x

A: f(x)=5x2+2x+3x

Q: 12. [1, 2] AROC: 7 6 5 4

A:

Q: Use the rectangular approximation with 4 rectangles, using the right endpoint for the height, to…

A: The right Riemann sum∫abf(x)dx≈Δx(f(x1)+f(x2)+f(x3)+⋯+f(xn−1)+f(xn))Δx=b−an

Q: -1 1) [₁ x tan ‘xd.r Evaluate (a)

A:

Q: Evaluate the iterated integral by converting to polar coordinates. √√64-x2 ' (ཏ ཏཾ ཨབྷཱ, ཨཏིཡཾ -…

A:

Q: 6x² x-9 (a) Find the interval(s) where f(x) is increasing. (Enter your answer using interval…

A:

Q: For each pair of integers m and n, use the division algorithm to divide m by n. Write the result in…

A: Given:pair of integers m and n.To find:Use the division algorithm to divide m by n.

Q: Suppose z = x² sin y, x = 1s² + 3t2, y = -2st. A. Use the chain rule to find and as functions of x,…

A:

Q: 3. Find any vertical, horizontal, or slant asymptotes of the following functions. 7(x-3)(x+1) (a)…

A: To find any vertical, horizontal, or slant asymptotes of the following functions.

Q: Let f(x)=4x²-7x²-2, x21.5. Find the value of at the point x = 43= f(3) is The value of dx (Type a…

A:

Q: Let f(x) = 4√x - 2x. (a) Find the interval(s) where f(x) is increasing. (Enter your answer using…

A:

Q: a) f(x)=8x+7x²-3x+14

A: According to the Bartleby guidelines we are supposed to do the first one of multiple questionsKindly…

Q: Write out the form of the partial fraction decomposition of the function. Do not determine the…

A:

Q: 5 If f f(x) dx false true 5 −3 and ƒ g(x) dx = 2, then [5f(x) - g(x)] dx = ƒ[5ƒ(x) 1 † 9(a) da = =…

A: We have given that ;.;

Q: Find by implicit differentiation, where 3x5 + 7x¹y - 6xy5 = 2. dy dx

A:

Q: #3: Solve the initial value problem y"-4y - 12y = 0, y(0) = 1, y'(0) = -1

A: y"-4y'-12y=0y(0)=1, y'(0)=-1