If F(X) is an antiderivative of *-2 + x-', then what is the value of F(1) - F(-1)?

Q: 1 x² + 10x + 41

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Q: Find the area of the triangle with the given vertices.     (−1,−1), (5,−1), (2,5)   The area of the ...

A: Area of triangle = 12x1y11x2y21x3y31 x1,y1=(-1,-1)x2,y2=(5,-1)x3,y3=(2,5)  

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Q: Find the centroid of the region shown in the figure. 1 1

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Q: If f(x) = (2x + 8)-', find f'(x). Find f'(2).

A: topic - derivative of a function

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A: Given query is to find the interval where car is speeding up.

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Q: Suppose f(0) = – 4, f'(0) = – 2. Approximate f(0.03). - f(0.03) - (enter your answer rounded to two ...

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Q: You record the temperature every hour from midnight until​ 8:00a.m. You see that the temperatures​ (...

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Q: Two buildings of equal height are 800 feet apart. An observer on the street between the buildings me...

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Q: 3. Consider the following surface and the point Pon the surface. Let C'be the path of steepest desce...

A: f(x, y)=y3 - x2∇f =fx, fy =-2x, 3y2Descent = -∇f =2x, -3y2This can be put as;that the slope of the d...

Q: Find real numbers a andb such that the equation is true. a+ bi = 11 + 7/ %3D

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Q: Solve the separable differential equation 1 x2 + 4 dx dt and find the particular solution satisfying...

A: The given differential equation is: dxdt=x2+14 x0=6 To find a particular solution.

Q: et f(x) = 3x 1, 6). 3x? + 6. Find the equation of the line tangent to the graph of y = f(x) at the p...

A: Given query is to find the equation of the tangent.

Q: (r +1)' sin x (c) lim - 2.x X-0 sin x (d) lim- X-0 20' lim + sin 0 (e) 40

A: According to our guidelines we can answer only three subparts. Kindly repost the otherquestions in t...

Q: The planes I and I, have equations II. : 6y+5z =-19, 5 I,:ニx-4y+7:=1. State the normal vector of the...

A: We have to find the normal vectors of the given planes.

Q: A firm produces 550 T.V. sets during its first year. The sum total of the imm's production at the en...

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Q: 4. y = 2xi+x“

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Q: (2v² + 4u²v)du + (4uv + 3u³)dv = 0

A: The given differential equation is; (2v2+4u2v)du + (4uv+3u3)dv=0.

Q: 6) pind ful indefinite integrel. 4 sec (2x) de

A: ∫sec4(8x)dx ∫ sec2(8x)(1+tan2(8x) )dx ∫sec2(8x) + sec2(8x)tan2(8x) dx now assume that tan8x = u du...

Q: Section 4.1 p. 363/365 # 40 Solve the following initial-value problems starting from y(t = 0) =1 and...

A: We have to solve the initial value problem and draw solutions.

Q: The weekly revenue from the sale of x units of a service is given by R(x) = 192x - 6x thousand dolla...

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x = 2,...

A: We have to calculate volume of solid formed when the graph of the region bounded by  y=ex , x=0 ,x=2...

Q: Differentiate implicitly to find dy/dx. - y2 = 16 x2 + y2

A: In order to solve this function firstly we need to differentiate it with respect to x on both sides ...

Q: Find Vla| for the series. k k + 12 k=0 (Express numbers in exact form. Use symbolic notation and fra...

A: We can find limit as follows

Q: se L'Hopitals's rule to find lim xIn(e* – 1).

A: Given query is to find the limit of the expression.

Q: 7. y = tan ex + etanāx

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Q: uestion 6 of 11, Step 1 of 1 5/11 Correct Consider the function f(x) = -x' - 6 on the interval (-4, ...

A: Given query is to find absolute maximum and minimum.

Q: An arc light is hung 12 ft. directly above a straight horizontal wall on which a boy 5 ft. tall is w...

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y = x²...

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Q: Find the linearization of y = eV3x у at x = 64. (Use symbolic notation and fractions where needed.) ...

A: topic- linearization of a function 

Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. ...

A: This question can be solved using the derivative of function of function.

Q: Use logarithmic differentiation to find the derivative of the function. V9 + 7x² y = 3 x2 + 1

A: Given query is to find the derivative of the expression.

Q: 83. The acceleration of a particle moving along the x-axis is given by a(t) = (t- 8)sin t for 0 <IS ...

A: we know a(t)=d(v(t))dt where a(t) is the acceleration, v(t) is velocity and t is time. The particle ...

Q: 1. f (x) = 5x – 4 2. f (x) = 4x? + 3x – 6 2x+7 3. f (x) = 3x

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Q: Let f (x, y) = e^x (sin(y) +1) and use the point P (0, (pi/2)) a. Find the gradient of f at P. b. F...

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Q: f(x) – f(1) - If f(x) = log2(x), then lim %3D x-1 (A) me In(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:25 PM

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Q: Suppose the temperature of a metal plate is given by f (x, y) = the temperature of the metal plate i...

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Q: Sketch the graph of f(x) x and the graph of the function g. y y 10- 10 -10 -5 10 -10 -5 10 f-5 -10 1...

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Q: Minimize Q= 2x +3y2, where x + y = 5. ... y% = (Simplify your answer. Type an exact answer, using ra...

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Q: 1 Find the equation of the tangent line to f- at the point P(,,-1) for f(x) = %3D 3x2 - 1 Provide yo...

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Q: Which of the following integrals represents the volume of the solid obtained by rotating the region ...

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Q: 2. (а) Find the function P(x) = a +b cos(n x) +c sin(nx), which interpolates the data 0.5 1 y 4 (b) ...

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Q: Biologists stocked a lake with 800 fish and estimated the carrying capacity (the maximal population ...

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Q: Evaluate the integrals of the functions graphed by using the formulas for areas of triangles and cir...

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: If y = (t² + 2t + 6) (3t² + 5), dy find dt dy dt ||

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Q: I Find the second derivative(y") of the following functions and simplify the final result 1. y = x –...

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Q: xy²y' = y + 1; y(3e²) = 2

A: Given that a differential equations and we solve this differential equation by using saparation meth...

Q: Find the goneral Solution: HW auswr メピー=C

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