Use the indicated substitution to evaluate the integral. 5/2 [5²2 x² √ 25-x² (Give your answer to three decimal places.) dx, x = 5 sin(0)

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Q: 2. Find the local linear approximation L to the specified function ƒ at t designated point P. a.…

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Q: Find the area bounded by Y=x²-4 and [-4,2] y=-x-2x from

A: The region bounded by y=x2-4 and y=-x2-2x

Q: Find the volume of solid generated by revolving the region bounded by the curves y = √x +2.y=x-2x =…

A: The region bounded by curves y=x+2 ,y=x-2,x=-2 and x=2 Graph

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A: We have to find the area of the region that lies to the right of y-axis , and to the left of the…

Q: Solve the initial value problem for x as a function of t.. dx (1²-13t+42) dt =1 for (t> 7), x(8) = 0…

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Q: dz dt z = xe¹y, x = t¹, y = − 1 + 4t dz dt Find 11 given:

A: given  z=xe4yx=t4y=-1+4twe know dzdt=∂z∂x×dxdt+∂z∂y×dydtd dt(tn)=ntn-1

Q: sin x 7+ cos 2 X -dx

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Q: ģ t b= 6 5 C = 4 d = 3 1 -4 -2 -1 -+-+ -3 -4 & To acheive this graph, a = 5 The plot above is…

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Q: Let f(x,y)=x²y+√y 2. Find each value d. ƒ(a‚aª) e. f. ƒ(2,-4)

A: fx,y=x2y+y

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Q: Q3 Let f be a function defined by the graph below. In addition, suppose f(a) dz = 34. and f(x) dx =…

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Q: How much work is required if six cables, each weighing 0.6 lb/in, lift a 10,000-lb elevator 150 ft?…

A: work done = change in PE= cumulative work in lifting elevator and six cables 150 ft let's consider a…

Q: What is the value of sec¹(2)? A B C D 5 T 되어 3 -- 3 3 5T 3

A: Let sec-12=x  then     secx=2 As secant is the reciprocal of the cosine function, i.e.…

Q: 3. Find both the radius of convergence and interval convergence for Σn=on Σο xn

A: NOTE: Refresh your page if you can't see any equations. . use series root test If limn→∞|an|1n=L ,…

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Q: first model made, and let y represent the number (in millions) of the second model made. The…

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Q: 2-tan 0 4 de

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Q: Find a vector parametrization for the line that passes through the points P(3, -7, 1) and Q(-5,9,2)

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Q: What is the value of sec 1( 37) ₂

A: we need to find the value of sec-176

Q: CS Find the length of the curve r(t) = (5 cos(3t), 5 sin(3t), 4t) for -2 ≤ t ≤ 5 Give your answer to…

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Q: The half-life of plutonium-239 is 24,360 years. If 20 g of plutonium is released into the atmosphere…

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Q: Find the tangent plane to the equation z = 2x² + 3y² - 3y at the point (-4,3,-14

A: The equation of tangent plane of f( x , y , z ) at point ( a , b , c ) is given as  fx( x - a ) +…

Q: f'(x) for f(x) = 10840 d - a. 1 (In 4)(x + 1) b. 6x5(In 4) x6+1 C. 6x5 + 6x°

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Q: Write the sum using sigma notation: 1 1 1 + + 1.2 2.3 3.4 A = B = + + 1 122 123 . n=1 B, where

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Q: Use Cramer's rule to solve the system if D+ 0. In the case where D 0, use Gaussian elimination or…

A: By using Cramer's rule to solve the system if D≠0. In the case where D=0,  by using Gaussian…

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Q: Evaluate the integral. *98 + x² 1⁹8 VX dx

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Q: Use L'Hospital's rule to compare the growth rate of p(x) = 8x5 and g(x) = 9x³ + x² + 7x +1. Select…

A: px=8x5 ,qx=9x2+x2+7x+1

Q: A rock is dropped off the edge of a cliff and its distances (in feet) from the top of the cliff…

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Q: Which of the following is a graph of the limacon r(0) = 3+4 cos(0)?

A: Given polar curve  r(θ)= 3 + 4 cos(θ)

Q: Suppose f(x) is some function, and you determine the second derivative is f"(x) = 5(x-2)(x-4). Find…

A: Given: f''(x)=5(x-2)(x-4) We are required to: Intervals where f(x) is concave up and intervals where…

Q: Please answer all questions, even the last one in which you have to use 4th grade math.

A: We have to find the arc length of the parametric graph                    x= sinπty= cosπt-12≤t≤12

Q: Find the volume of the solid generated by revolving the shaded region about the given axis. y=9-x²…

A: We have to find the volume of the solid generated by revolving the shaded region about x- axis. y =…

Q: A firm manufactures a commodity at two different factories, Factory X and Factory Y. The total cost…

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Q: Find the length of the curve. x=8t², y=121²,0sts √8 The length of the curve x=8t", y=12t² on 0sts √8…

A: Given curve x=8t3,   y=12t2    0≤t≤8

Q: Calculate r'(t) and T(t), where r'(t) = ( T(t) = ( 2 r(t) = (4t — 6,1 – 6t, 9 + 5t). "

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Q: Question Analyze the following graph of f(x). Select all of the intervals over which the function is…

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Q: Evaluate the integral. 23+ 1 v³ +5v8 VA dv

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Q: Find the area of the region enclosed by the curve x = 12 cos(t) – 6 sin(2t), y = 5 sin(t) wit 0 ≤ t…

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Q: The area of the surface generated by rotating the curve y=1-e*, where -3 ≤ x ≤ 3, about the x-axis,…

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Q: 3. (D3 + 4D24 9D + 10)y = -24e* when x = 0, y = 0, y' = -4, y" = -10

A: D3+4D2+9D+10y=-24ex

Q: Evaluate the following integrals 4 6-x 1-II as 2 3- 4 π π [S³ 0 y 12-y dy dy dx sin x X - dx dy -SS…

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Q: Evaluate xy dx + ²dy, where C' is the rectangle with vertices (0,0), (1,0), (1,4), and (0,4) f zy³dz…

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Q: The integral that represents the length of the curve y = x7/2, where 1 ≤ x ≤ 4, is the following: 1…

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Q: Use properties of the indefinite integral to express the following integral in terms of simpler…

A: Use Properties of the indefinite integral to express the following integral in terms of simpler…

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Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: Find if the series converges and if it does and you can find the sum, find it: 2. Σ00 (2)

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