Find a unit vector in the direction of the given vector

Q: f fcx) = 5 Ccor"2x) 131

A: The objective of the question is determine the derivative of the given function.

Q: determine which statement is true {(x,y)|y=√9-4x2} (A) not a function (B) function; domain: [-3/2…

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Q: The radius of a sphere was measured and found to be 7 cm with a possible error in measurement of at…

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Q: х+2 dx х — 1 1. Find the integral а. х + In(x — 1)3 + с b.x + In(x - 1)? + с с.х + In(x — 1)4 + с…

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Q: Based on the results of the three symmetry tests for polar equations, what type of symmetry, if any,…

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Q: A particle travels along a straight line with velocity function v(t) = e'sin(2t) + cos(t) – 1 cm per…

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Q: Written Homewo 1) Find the zeros and maximum value of r 2+4 sin 0.

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Q: 200 D(r)

A: answer is in next step

Q: t) Determine an antiderivative, y, of the given derivative, y. Then use the given condition on y to…

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Q: nd the maximum profit and the number of units that must be produced and sold in order to yield the…

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Q: Switch the order of integration for the double integral below and evaluate it. On your paper, sketch…

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Q: Find the antiderivative of the function f(x) = 8x³ – 18x2 + 14x - 4 that satisfies f(0) = 0. ANSWER:…

A: Given the query is to find the antiderivative.

Q: 4. Suppose you have a function y= g(x) with domain {x-3<x57} and range {y-9sys5}. a. Explain in…

A: The given function is y=g(x) with the domain {x|-3≤x≤7} and the range y|-9≤y≤5

Q: 2. Find all the derivatives of f, given f(x) = x8 – 5x7 + 4x6 – nx* + 3x3 + 11.

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Q: Verify Green's Theorem by evaluating both integrals Lv = / an_ aM dA dx + x² dy * ax ay for the…

A: Given problem:-

Q: The expression p sin ø cos 0 in spherical coordinates is equivalent to what expression in Cartesian…

A: given expression ρsinφcosθ

Q: 33. f'(t) = sec t (sec t + tan t), -/2<t<T/2, f(T/4) = -1 %3D %3D 34. f'(x) = (x + 1)//x, f(1) = 5…

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Q: Question 9 Find the volume of the shaded region when revolved about the indicated axis. 21 x = V7+ y…

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Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

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Q: A forest fire covers 1600 acres at timet = 0. The fire is growing at a rate of 2/t acres per hour,…

A: How many acres are covered 20 hours later ?

Q: Find the derivative of the function and si - sin?(7x) y 9. y' = ||

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Q: Approximate the local minimum value of the function given below. Use Newton's method with the…

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Q: The function g(t) = (8t)t – cosh? t + sinh? t satisfies gʻ(c) = 0 for which value of c?

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Q: power line is to be run to an offshore facility as shown in the figure above. The offshore facility…

A: Solution: Cost function C(x) = 50000(8-x) +x2+1(80000)

Q: a) 2 B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card…

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Q: Consider the following function. X - 4 f(x) = x2 + 20 Find f'(x). f'(x) = Find all singular points…

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Q: The reverse order of 6 k 3xe" dydx is equal to 2 2(e - 1) O e - 2 O -e

A: Given: I=∫02∫x213xey3dydx The region bounded by the curves y=x2, y=1 from x=0 to x=2

Q: The general solution of the D.E.  ( x + y)dx + (x-y)dy = 0.

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Q: Region is bounded by y=x y=x2 Rotate about x=2. Find the area. Please help

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Q: Answer the question. Show ALL your steps in your calculations. Answer in complete sentences. 8…

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Q: v(t) = 1.1t2 - 2.6t + 2.3 million hours of video per year (0 sts 9), time in years since the start…

A: Topic:- application of calculus

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: The terminal point is 2.15, -1.94

Q: Write a triple integral, in spherical coordinates, that describes the volume of the lower hemisphere…

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Q: g Ca) : -8) (uring logarithmic differentiation) 2 +4 11

A: We can find the derivative using logarithmic differentiation as below.

Q: When harvesting apples in a grove, the number of apples harvested increases at a rate of R(t) apples…

A: Here, the rate of harvesting increases at the rate R(t) per hour with t≥0

Q: Let h(x) = x3. Use the Intermediate Value Theorem to show that there is a number between 2 and 3…

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Q: Suppose that , g(t) dt = v7 rg(x)] dx 1. g(r) dr 2.

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Q: determine which statement is true y = (x + 2)2 + 2  (A) not a function (B) function; domain: R…

A: Given that       y = (x+2)2+2

Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

A: ddtr1(t).r2(t)=r2(t)dr1(t)dt+r1(t)dr2(t)dt ddtr1(t)×r2(t)=r1(t)×dr2(t)dt+dr1(t)dt×r2(t)

Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. 1,0 10…

A: Given query is to find the value of the integral.

Q: A line is parameterized by x = 5 + tand y = 6t. (a) What part of the line do we get by restricting t…

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Q: 1.) Find the area bounded by the lines and curves y = 4x – x°, x =1 and x = 3

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: dx 29. Evaluate + sinx + cosx c) h|1- tan | +C D) tan{1- tan +C A) tan 1+ tan +C B) h1+ tan +C

A: To Find : ∫11+sinx+cosxdx     Note : a)  1+cosx=2 cos2x2b)  sinx=2sinx2cosx2

Q: dz. x + 2 Evaluate -1

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 3x2 + 4x + 1 dx 2. 2x2

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Q: Next, simplify. - 3t dt = dx

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Q: dy 3. Find of the following equations: dx 7 x = sec 4xy + cos-

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Q: 6. DETAILS Verify the statement by showing that the derivative of the right side is equal to the…

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Q: j. r (0)=tanh (cas o)+ cos h (e)

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Q: Graph the function and find its average value over the given interval. g(x) = |x| – 1 on [-1,1]

A: We have to draw the graph and average value.