Compute the derivatives by any method (do not oversimplify): g(x) = sin x cos x ex

Q: 9) 11. 13. od 15. 17. 5 19. 64 dx 20/19 8 dx 13 (x +413/2 -3 dx √4-x L'₁ 21. 23. 3 dx -3x f.ro - ds…

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Q: Evaluate the following iterated integrals ( In the photo)

A: Note :- Since you have posted multiple questions, we will provide the solution only to the first…

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

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Q: Find an equation of the tangent plane to the given parametric surface at the specified point. x = u…

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Q: < a. Identify the function's local extreme values in the given domain, and say where they occur. b.…

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Q: Find the exact distance between the skew lines = (-3,-2,4) + t(1,-1,1) and p = (1,3,0) + t(-2,-3,3)

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Q: b. If Ax has a zero entry, then A has a row of zeros.

A: Given:- Ax has zero entry

Q: Use the half-angle formulas to determine the exact values of the sine, cosine, and tangent of the…

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Q: Question 3. Find F where and F(√) = 3. F'(x) = 2x cos(x²)+7√√π

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Q: 5. lim (5x³ - x²y²) (x, y)-(1,2)

A: You have specifically asked to solve question number 5. So, we will solve Question number 5 for…

Q: An initial investment amount P, an annual interest rate r, and a time t are given. Find the future…

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Q: Show that the function f(x) = x + 5x + 1 has exactly one zero in the interval [-1, 0]. Which theorem…

A: Given functiin is f(x) =x4+5x+1.Now to check there is any zero in the interval [-1, 0] we use…

Q: 10. A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/s. Find:…

A: Given:Initial velocity (v0​) = 128 ft/sAcceleration due to gravity (g) = -32 ft/s² (negative because…

Q: Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter…

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Q: π 4 18. (sin x − 1)dx + √ (cos x + 1)dx 0 0 f -4 4

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Q: Use first principles to find the derivative of the function: f(x)=

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Q: Find the derivative of the function y = log |6 - x|

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Q: y = ln (x+1) 2000 (sinx) 300 (3x+2)"

A: we have given function

Q: The decay rate, k, for a particular radioactive element is 3.2%, where time is measured in years.…

A: Given:We are required to:

Q: A triangular plot of land has sides of lengths 320 feet, 250 feet, and 80 feet. Approximate the…

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Q: For the following function find (a) f(4), (b) f f(x)=4x²-36x+81 (a) Find the value of f(4). (-). (c)…

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Q: Find the size of the obtuse angle (to the nearest degree) between the two curves y = ln (x² +1) and…

A: To find the size of the obtuse angle (to the nearest degree) between the two curves  and  at their…

Q: Draw the graphs of the following functions (show asymptotes if any) and also write down their end…

A: The given functions,(i) (ii) (iii) .We have to sketch the graph of the functions and write its end…

Q: -x Se ² dydx; -X

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Q: Given the vector function r(t) = (4t, 5t², −5t³ + 2) Find the velocity and acceleration vectors at t…

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Q: Find the absolute extrema of the function f(x, y) = −1²+ 4xy + 5y²-3x - 4y - 4 on the domain defined…

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Q: Find the equation of the tangent to the curve y = In (x² +2) at the point where x = 1. Answer in…

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Q: The function s(t) describes the motion of a particle along a line. s(t) = 24t³-32t + 7 (a) Find the…

A: The function that describe the motion of particle along a line

Q: The velocity of a particle moving along the x- axis is given by v (t) = 2 — t² for time ₺ > 0. What…

A: The velocity of the particle is given as,

Q: Solve the given differential equation. x²y" + 9xy' + 7y = 0

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Q: U Tangent prom (0-1) to y² = n³ passes through (4,8) (1,-1) (1,1) (3,4) A₁

A: The curve is  and the point is

Q: b.F(K, L) = (Kª + Lª)¹/ª → KFk+ LFL 3t c.g(t, w) = 3 + wt². W 8² g Iw It = = d.g(t₁, t2, t3) = (t +…

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Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. A = B = C=…

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Q: Use the Squeeze Theorem to find lim (In(cos²x). sin()).

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Q: FIND dy/dx of y = ln(arccosx)

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Q: please provided in clear format

A: If curve is  then curve length in interval  is given by

Q: 2 37. f(sec²x 2 tan"x) (tan x sec x sec x) dx

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Q: Which of the following fundamental identities is a quotient identity? Ocot(e) = cos(6) sin(8) O…

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Q: Solve the given differential equation by undetermined coefficien y" + y = 8x sin(x) y(x) = =

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Q: Solve the given initial-value problem. x²y" + xy + y = 0, y(1) = 1, y'(1) = 4 y(x) = cos (log(x)) +…

A: To solve the following initial value problem.By using graphing utility to graph the solution curve.

Q: True or False: The following problem can not be solved by applying the Law of Sines (AAS): A leaning…

A: Step1

Q: Which of the following is an even identity? O tan(8) = sin(e) cos(8) O sec(-8)= sec (0) O csc(-8)=…

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Q: Find the projection of v onto w if v = (-5,-2) and w= (1, -1). * Student can enter max 2000…

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

Q: (b) | x-3 x(x² + 2) dx

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Q: 'J/² F(x, y, z) = xye² i + xy2z3j - ye² k, S is the surface of the box bounded by the coordinate…

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Q: Use logarithmic differentiation to find the derivative of y. y = (x^3 + 1)^3(x - 1)5x^3

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Q: a) Find the function that satisfies this equation. Assume that t= 0 corresponds to 2006, when…

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Q: Evaluate the surface integral. کی تهران | y2z² ds, S is the part of the cone y = √x² + z² given by 0…

A: evaluate the surface integral

Q: Find the derivative of y with respect to x. a. y = cos^-1 (11x^2 + 4) b. y = sin^-1 (e^3t

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Q: Use one of the formulas below to find the area under one arch of the cycloid x = t - sin(t), y = 1 =…

A: Using one of the formulas, we can solve the question