If f(x) tdt then f'(x) =

Q: Use polar coordinates to evaluate the integral er+y dA R where R is the region that lies in the…

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Q: Decide which of the following regions has n () in area = lim tan 2n 2n i=1 without evaluating the…

A: To decide which of the regions has the given area.

Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 1 5. Evaluate when x 1,…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. А(1, 1, 3), B(—2, 3,…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: Given problem:- Find the critical number of given function h(p) =(p-5)/(p2+7)

Q: A (x -3) dy X +y -.

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Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y2 - 8x + 16…

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Q: Question * Given csc(0) = -2 and 0 E Quadrant III. Then the values of cot(0) and cos(0) are: cot (8)…

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Q: + Assignment_1_sec07_spring21.pdf Problem 7. a. Find the local maximum or minimum value of the…

A: Disclaimer “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Determine the critical numbers of g(x): + 16x). %3D 0= x4 - 8x2 +16 ーx4 t8x2 +0 -16 =E (-, g(x) = x…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the iterated integral: e dydx

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Q: The graph of a function f is given. y -1 1 10 Estimate f(x) dx using five subintervals with the…

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Q: 10

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Q: Evaluate the iterated integral: e' dydx

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Q: 9-x2 dx. Use trigonometric substitution. x2

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Q: A wooden rectangular box is to be made of lumber that is 2/3 in. thick. The inside length is to be 6…

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Q: ven -5z'ydz - 2rzdy+ (z+ y)* dz where C is the helix parameterized by r (t) = (34, sin (t), con (t))…

A: To set up the given  line integral in terms of t.

Q: Convert the polar coordinates (1, 90 ) to Cartesian coordinates. (0, 1) (0, -1) (1, 0)

A: r= 1 and theeta= 90°

Q: Consider the function f(x) Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x) =

A: NOTE: Refresh your page if you can't see any equations. . F(x) is the antiderivative of f(x). so…

Q: Given f'"(x) and f'(0) = 2 and f(0) 2x – 4 - 2. Find f'(x) = and find f(4) : =

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Q: Find f. f "'(x) = cos(x), f(0) = 8, f '(0) = 8, f(x) =

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Q: Sinx /2

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Q: 18 Find the inverse function of F (x) = 2 arccosx F-1(x) = _____ cos2x cos1/2x 2cosx

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Q: evaluate lim f (x) and lim f(x). X--00 -5 + 2e-* f(x) = %3D 5e-+6

A: f(x)=-5+2e-x5e-x+6limx→∞f(x)=limx→∞-5+2e-x5e-x+6             =limx→∞-5+2ex5ex+6…

Q: dx 1- cos 2x

A: The given integral is ∫dx1-cos2x Now,        cos2x =1-2sin2x       ⇒  1-cos2x=  2sin2x…

Q: 9 Simplify arcsin(cos 35). 35° 55° no solution

A: Given problem:- Simplify arcsin(cos 35).

Q: sec (In x)dx

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Q: The Cartesian equation, x = 4, is equivalent to the polar equation, 1 = 4 cose 4 r = cose 43 r =…

A: Answer is in step 2.

Q: Which formula is not equivalent to the other two? 10 (-1)*-7 -5 (- 1)* 3 (e) k-7 | 3 (2) k = -7 k+1…

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Q: 7) A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

A: Given: A spherical balloon is to deflated so that its radius decreases at a constant rate of 15…

Q: ivergent or divergent. If it is convergent, find its sum. (If the quantity diverges, enter…

A: Given query is to find series converges or diverges.

Q: Continuity of a function on an interval: Show your solution, graph (use GeoGebra) and identify if it…

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Q: 8. Let y(x) be the solution of the differential equation ry-y-Ina such that y(1) 1. Find y(2). A…

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Q: A solid right cylindrical cement block of volume 97 ft³ is to be made, and then painted except for…

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Q: termine whether the series is convergent or divergent by expressing s, as a telescoping sum. If it…

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Q: cos (x) tan (x) dæ

A: I have stated the used formulas in the solution

Q: The rational function 340t V(t) t + 2 models the velocity, V(t), in miles per hour, of a dragster t…

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Q: Find the exact arc length of the curve x = (² + 2)¯ from y = 1 to y = 5.

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Q: Express the polar coordinates (-2, -7) as Cartesian coordinates. (2, 0) (0, -2) O (0, 2)

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Q: 2) Given: f(x) = x+sin(2x) over the interval (0,7) a) Use a sign analysis to find the relative…

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Q: x2 sin 2x dx Use integration by parts

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Q: utilize the characteristic equations method to solve the equation y''-5y'+3y=0 y(0)=3, y'(0)=-1

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Q: Calculate the vector line integral F. dr. where Fis the vector field (z+ Sy, 2z - y) and Cis the…

A: To find the value of the given line integral.

Q: d f. f "'(x) = cos(x), f(0) = 8, f '(0) = 8, f "(0) -) =

A: Given query is to find the solution of the differential equation.

Q: (6) When David was born, his grandparents deposited $10,000 in a college account that promised 6%…

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repost other…

Q: 5. Let ƒ be a function satisfying the following properties: lim f(r) = 2 continuous on R \ {0} •…

A: a. Here, we have  limx→0-fx=-∞, which means the function has a vertical asymptote x=0; limx→+∞fx=0…

Q: dy Find dx for the curve: x = t, y= 2/t, t>0

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Q: ニ 2 2. dx | -r

A: The given integral  y=2∫-rrr2-x2dx  Can be solved using integration formulas given below…

Q: a) lim 3x + x2 x→1

A: We are asked to find the limit.

Q: Evaluate the iterated integral: e dydx

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