A 3 2 1 To find the blue shaded area above, we would calculate: b [ f(x)da a Where: a = f(x) = area = = area b= =

Q: 31. Tim (x²-x-6 X-3 x²-9

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Q: 13. A particle moves along a line so that at time t, where 0 ≤ t ≤ π, its position is given by t²…

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Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y B) Write the equation for the tangent…

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Q: = [²¹] and B = [₁³], 79 47 If A = A [7.4 11 13 find-2A + 4B.

A: given that  A=2-179    and    B=5-347 then we have to find  -2A+4B now ,     -2A=-22-179 =…

Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx

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Q: Find all solutions of the equation in the interval [0, 2). cos =-5/7 If there is more than one…

A: We have given trigonometric equation  cosx=-57 x=cos-1-57 x=π-cos-157 , π+cos-157 x=π-0.7751933 ,…

Q: Given the following graphs, find the volume of the solid of revolution of the shaded region. Rotate…

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Q: Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the [° √6 +…

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Q: * 5. Find the point on the plane 4x + 3y + z = 2 closest to (1,-1,1)

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Q: Find sin 2x, Coszx, and tonex if sinx = ? JT3 and x terminates in quadront II.

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Q: 0 -3√/2 √√3 -2 Given g(x) = 0.5x4 + 4x, determine the x-value for the absolute minimum of the…

A: To find absolute minimum.

Q: Find all solutions of equation in the interval [0,2pi) cos2x-2cosx=-1

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Q: 1. Over a 3-hour period between noon and 3 pm, the rate of temperature increase in a town is given…

A: We need to estimate integral.

Q: Approximate the area under the curve y = x³ from x = 3 to x = 5 using a Right Endpoint approximation…

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Q: 5. y = (x + c)e*

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Q: -5 0 2 3 What is the global minimum of the function f(x)= |x - 21 on [-5, 5]?

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Q: 2. Find the area of the shaded region. =√x²+x+1 -2 3 X

A: The region is bounded by the curve y=12x2+x+1 on the interval -2, 1. We have to area of the region.

Q: Find the curl of the vector field F. F = x³yzi+xyzj+xyz²k curl F = Di+O k

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Q: Suppose a moving object in space has its velocity given by (t) = . Find fr(t)dt (don't include the…

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Q: Let F(t) = Find f(t)dt fr(t)dt = ([ 1 -5t + 4 , 2 cos(3t), √t-3 (don't include the +C) – 3). >+C "

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Q: Find the average value of f(x) = 2 sin²(x) over [0, 2π].

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Q: A graphing calculator is recommended. Use a graphing calculator to graph the solution of the system…

A: Solution: Given data, y ≥ x3    2x + y ≥ 0 y ≤ 2x + 5

Q: The profit that the vendor makes per day by selling x pretzels is given by the function P(x) =…

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Q: Find the first five terms of the Taylor series for the function f(x) = ln(x) about the point a = 3.…

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Q: Evaluate the double integral. JS. бу JD 2x5 + 1 dA, D = {(x, y) | 0 ≤ x ≤ 1,0 ≤ y ≤ x²}

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Q: 2 Find the sum of a 7+9+11+13+ to 10 terms b

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the limit using l'Hôpital's Rule. Enter an exact numeric value. lim tan(52) Number

A: ∂tanx∂x=sec2x∂xn∂x=nxn-1by using L'hospital rulelimx→0tan(5x)x=limx→0∂tan5x∂x∂x∂x

Q: Determine the open t-intervals on which the curve is concave downward or concave upward. x = 9+7t²,…

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Q: 2. [2x(x²-1) dx 3. 4 √(2x² - 5x+3)( 21² 5x² + 3x) a dx 3 2

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Q: USE IMPLICIT DIFFERENTIATION TO FIND dy/dx. WITH THE GIVEN EQ’N: y^5+x^2 y^3 = 2 +x^2 y.

A: The given equation is y5+x2y3=2+x2y

Q: Question For the polar equation r = cos (60), complete the following table of values by filling in…

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Q: 8. Jymy) dy ylny/

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Q: Find the derivative of f(x) = 2g³x - 1

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y (a) (b) (c)…

A: Let's solve all integral value.

Q: Use the following table to answer parts 1-4 below. ▸ Part 1 ▸ Part 2 - Part 3 - If h(x) = 2x +…

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Q: Use an appropriate test to determine whether the series converges. M8 Σ k=1 k! 18kkk Select the…

A: The given series ∑k=1∞k!18kkk. We have to check the convergence of the series.

Q: (c) Is the graph symmetric with respect to the origin? Choose the correct answer b OA. Yes, because…

A: Solve by origin symmetry property

Q: Find and classify any critical points. 3. z = 4xy - x4-y4

A: for critical points put ∂z∂x=0 and ∂z∂y=0∂xn∂x=nxn-1

Q: Find the area of the region between the graph of y = x² – 12 and y - = 3x - 8.

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Q: A company selling widgets has found that the number of items sold a depends upon the price p at…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = 2x − y subject to the…

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Q: If A is a matrix of size m x n and B is a matrix of size px q, then AB and BA are defined only if

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Q: = L 3t dt. Then g' (2) equals Let g(x)= (Your answer should be a number.)

A: ∫xndx=xn+1n+1+cg(x)=∫x243tdt=3∫x24tdtdxndx=nxn-1

Q: What are the polar coordinates of the point shown in the graph below? Answer with the standard polar…

A: Given query is to find polar coordinates of the point.

Q: A SPERICAL SNOWBALL IS BEING MADE SO THAT ITS VOLUME IS INCREASING AT THE RATE of 8ft^3/min. FIND…

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Q: Find the area under the curve y = 4x³ over the interval [0, 2]

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Q: Solve for t. Give exact simplified answer(s). (e-2t + 6) (e-5t - 13) = t =

A: Given query is to simplify for t.

Q: Convert y = 29 z² to polar coordinates in the form: r is a function of 0. r =

A: Given,            The rectangular coordinates is y=29x2.To find : Convert rectabgular to polar…

Q: Find the indefinite integral. x7-9 DOT dx 4

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Q: dr Differential equation: (tº + 5t)i + (9t)} + (5ť³)k dt Initial condition: 7(0) = 9ỉ + j Solution:…

A: ∫xndx=xn+1n+1+cdr⇀dt=(t6+5t)i⇀+(9t)j⇀+(5t5)k⇀