Vx- 2 Evaluate lim x-8 x2-7x-8 O 2/7 None of these O 1/9 O 1/12 O O o O

Q: f(x) = sin° (tan(5e2*))

A: We can find the derivative as below using chain rule.

Q: 5.SUPPOSE tu at fex)= XJgcK)· If 903)=16 and g C3)=-5.what is f'(3)?

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Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

A: Solution is here

Q: Choose the correct speed and direction of a plane with a velocity of (-5,12) . 13,293° 17,113°…

A: Find your answer below

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Q: 3. Given that f (x) = determine %3D a) f'(x) b) f"(x)

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Q: Find the limit of s(n) as n 00. 1 n(n + 1) s(n) 2

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Q: EXERCISES write the number in the form a + jb. (a) – 31 (b) (8 + j) – (5 +i)

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Q: earning Task 1: Determine the derivative of the following. x*y + 2y3 = 3x + 2y %3D

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Q: (2 f" = c-1fi-1 + Cfi+ Cfu A. Find the coefficients of the following derivative %3D

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Q: Suppose the position of a particle is given by parametric equations x(t) = t³-2 and y(t) = 5t2. %3D…

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Q: 7x - 5. Consider the function f(x) = 7x0 + 8x Enter the antiderivative of f(r) + C

A: Given the function  f(x) = 7x10 + 8x7 - 7x2 - 5. We have to find the antiderivative of f(x).

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2…

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Q: Evaluate each of the following indefinite answers in simplest form (factored form) 3dt 1. (2t +8) Jt…

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Q: Answer the following True or False: If f(r) is an antiderivative of v(x), then f(3x) is an…

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Q: 10. ſ csc²e cot ôni- 5 cot ê dê

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Q: 2.ryda + (a² – 1)dy = 0

A: As per guidelines we have to solve one question

Q: csce cot e1- 5 cot 6 de

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Q: 6)Let f ( x ) = x4 + x3 - 3x2 + 1 a)Find all the hypercritical values. b)Determine the intervals…

A: The given function is f(x) = x4+x3-3x2+1 ............................ (1) We have to a)Find all the…

Q: dx The integral of the given function S is xVx2-9 a. -Arcsin+ C 3 3 b.- Arctan+ C 3 3 1 с. 3 -…

A: Given query is to find the integral.

Q: Consider the function f(r) 7x10 + 10r 10r 4. An antiderivative of f(x) is F(z) Ax" + Bx" + Cr + Dr'…

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Q: Answer the following about the function f (x) = (1/3)x^3 − (1/2)x^2 −2x + 1 a. Find all critical…

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Q: 1. Fin d fx) for each of th FunCtions. 54ow your work,Gut you notneed to simplif y answer Sint PartA…

A: A)f(x)=sin xxusing quotient rule;f'uv=v u' -u v'v2u=sinx, v=xf'(x)=xddx(sinx)-sin(x)ddx(x)x2f'(x)=x…

Q: 34. f (г) — 1 ; с34

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Q: What are the domain, range, and period of the function f0) = -3cos(- 20)? Answer in complete…

A: Given problem:- What are the domain, range, and period of the function f(θ)=-3 cos(-2θ)

Q: Find the maximum value of the function f(x) = x³ - 9x² + 15x - 5. Answer: Find the value of x for…

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Q: 1と 8t y=x?+4 ソニx? ー4 4

A: The region is bounded by the curves y=x2+4 and y=x2 from x=-4 to x=4revolved about x-axis

Q: Which of the following represents the recursive formula for the Arithmetic Sequence? -35, -32, -29,…

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Q: dy If y2=2x+3y dx find then use it to find the tangent line to the curve at the point (3,2) For the…

A: Solution is given below:

Q: Find the magnitude of the vector 3i - 3j. 18 O 23 0 6 312

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Q: dx the correct solution of this integral is:- 1+x A) 2 V5 В) Зл

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with two…

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Q: A plane traveling with a velocity measured in meters per second, is described by vector a = (-6,5) .…

A: Let's find.

Q: Approximate / 1+r² dr using four rectangles and the left endpoint method (L4).

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Q: 3. A metal plate is lying in the region bounded between the circles r? + y² = 1 and 1² + y? = 4 and…

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Q: Derive the derivative function for secx and express your answer in product form.

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Q: Find the absolute maximum and absolute minimum of the function on the interval. f (x) = 5(x² -4)/z³,…

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Q: s "(t) if s(t) = Je tl +1

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Q: Given: -8 17 cose = 15/17 -8/17 8/17 -15/17

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Q: If f (z, y) — е"у, then fr (1, In (3)) —??? (а) е (b) e³ (с) 1/3 (а) 3 (е) 3ln (3)

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Q: 2. Find the radius of convergence and interval of convergence of the series. (a) (-1)--1 (" – 5)*+1…

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Q: -Arctan + dx The integral of the given function S (x²+4)2 is Arctan + C 8(x²+4) 16 b. - Arctan- + а.…

A: Given:   ∫dxx2+42

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Q: Integration by Trigonometric Subshtunon Jx(x?_ax+4) $12 XP

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Q: If f(x) = e%g(x), where g(0) = 5 and g'(0) = 2, find f '(0). %3D

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Q: Calculus Question

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Q: Given f''(x) = 4x – 5 and f'( – 3) = 3 and f( – 3) = 6. %3D Find f'(x) = and find f(3)

A: Given, f''x=4x-5 , f'-3=3 and f-3=6 We have to find f'x and f3.