scost 2.) Find the derivative: 1 (t) = (sin" (t²), e² ² lnt>

Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) = 1 and ƒ'(0) = 8,…

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Q: A clothing store buys scarves for $22.00 less 27% for buying over 50 pairs, and less a further 24%…

A: Given problem:- A clothing store buys scarves for $22.00 less 27% for buying over 50 pairs, and less…

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Q: 7. favn-1dr 8. (1) Vai - dar 1 f sh 1 9. dx 5 + 1

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Q: given m=6, n=1, and v=(-4,7), what is v(n-m)?

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Q: (a) If (tanh x) = 1/4, find the value of sinh x without a calculator. Show the procedure of your…

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Q: 5. 5 S x ³e x² dx

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Q: Question 7 AL Given that APOBDEA and APOCA are semicircles with centre O and P respectively. AP = 10…

A: We can solve the given question by the help of trigonometry.

Q: Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours after 12:00 noon…

A: Given problem:- Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours…

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A: Given function has vertical asymptote

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Q: For each of the following functions, do the following: a. Determine if f is continuous at a. b.…

A: We are authorized to solve only one question, please repost remaining questions Continuity and…

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Q: 1. y=(sin ¹x² + X 1+tan x

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Q: 6. S²2 (+1/12 - √x) dx

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Q: The function f(x) = √√x-2 + √√4-x is. increasing on its natural domain O increasing on (2, 3) and…

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Q: Let f(x) = 8x²(x-2) + 15. Find the critical points c that correspond to local minima. (Use symbolic…

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Q: 3) Suppose 2X z = xe cos 3y, find all the first and all the second derivatives.

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Q: 5. Calculate the area of the parallelogram formed by the vectors (4, 10, 9) and (3, 1, -2).

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Q: Find the tangent line approximation for √1+ x near x = 5. y = ||

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Q: = 0? 5. Which of the following is a normal vector to the plane Z = a. C. n = (1,1,0) 72 = = (0,1,0)…

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Q: 3. What value of k will make the line with symmetric equations - (1,−1,3)+s(3,2,2) p vector equation…

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Q: _2. Which of the following series is divergent? 1 1 1 (α) Ση=12n-1 (b) En=1,3 (c) En=13 Σ n2 _3.…

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Q: (a) Use the Maclaurin series, In(1 + x) = x -+-+ = E=1(−1)n+12², 2 X to derive the series expansion…

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

A: Future value of a investment amount P, rate of interest r  and time t in years(a) if it is…

Q: Which of the following is not an indeterminate form? * ∞-∞ O Option 1 0/0 O Option 2 1∞ 1/0

A: Topic = Limits Correct option = 4

Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+ 32) sin(t)dt

A: The tabular integration is a process of evaluating the integral using integration by parts. In this…

Q: Determine the exact value of the following trigonometric functions given that cos (0) radians lies…

A: Given  cosθ=-96104  .............(1)θ is in radian and lies in the 3rd quadrant.

Q: Consider the triple integral JJJ (x+y+z)dV E where E is the solid enclosed by the cylinder x² + y² =…

A: Let's solve A and B part.

Q: Problem 2. Find an equation for the tangent line to the curve y = 2x² + x3 at x = 4. You must use…

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Q: a) Approximate the area under graph (a) of f(x) = 2/x² over the interval [2,6] by computing the area…

A: Area using rectangle

Q: - 3x Find the derivative of y with respect to x if y = e

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Q: (B) let y = 3sin5x-2cos5x show that y + 25y = 0

A: Given :y=3sin5x-2cos5x    To prove : y''+25y=0

Q: 3 4 3η ΣΣ (+1) j=1 k=0

A: A detailed solution is given below.

Q: The linearization a at a = 0 to √8+7x is A + Br. Compute A and B. A B=

A: To Find: Linearization for fx=8+7x at a=0

Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) = 1 and f'(0) = 8,…

A: Given g(x) is the inverse function of f(x)

Q: The arc length of 元 y=ln(cos x), 0<x<= is 3 the curve

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Q: 5. r(x, y) = ln (x + y)

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Q: Find the arc length of the curve x = Length = -2y³/2 from y = 0 to y = 10.

A: See the details solution in below

Q: Q 19 If a fault cuts three sides of a quadrilateral, then: Red with one of the vertices 2- Cut the…

A: Given question:- 19) if a fault cuts three sides of a quadrilateral then,

Q: Find the orthogonal trajectories of the family of curves: y = k (csc x + cotx) Ⓒy² = 2 (C- cos x) O…

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Q: Given r(t)=, find the unit tangent and the principal unit normal vectors

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Q: 1. (3x - 2y + 1) dx + (3x - 2y + 3) dy = 0.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: An object is moving with velocity (in ft/sec) v(t) = t²-2t + 3. At t = 0, the object has a position…

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Q: The percentage of people of any particular age group that will die in a given year may be…

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Q: 3e-20 + 2x 3.y" + 6y + 8y = 3e-2x

A: Here we have to solve the differential equation.