If FIX) is an antiderivative of x-2 + x1, then what is the value of F(1) - F(-1)? A) 3 (в) -2 -1

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Q: in(cseg + cotsde 5. 2

A: Use simple integration formula.

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

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Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9

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Q: True or False: In the partial fraction decomposition, A D + x + 3 x + 8 В x(х — 1)(х + 3) х — 1 - we...

A: (x+8)/x(x-1)(x+3) = A/(x-1) + B/(x+3)+D/x A(x+3)(x) + B(x-1)(x) + D(x-1)(x+3) Ax2 + 3Ax + Bx2 -Bx + ...

Q: In Exercises 17-20, a function z = f(x, y) and a point P are giv- en. Find the equation of the tange...

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Q: Use long division to divide and use the result to factor the dividend completely. (5x2- 3x-14) (x- 2...

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Q: A- Find the distance between the line (y =x+3) and center of circle (x+y-2x-0). B- Using Cramer's ru...

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Q: A house was valued at $105,000 in the year 1992. The value appreciated to $175,000 by the year 2006....

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Q: rove that the given equation is a solution to the given DE: 5. x = 2t + C; y = Ct + 3 ; 2(y')² – xy'...

A: Topic:- application of derivatives

Q: Score! Question 16 The number line below shows a value on a log scale. 105 10-4 103 10 2 10-1 100 1...

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Q: Consider the following vector field F (x, y, z) = yz cos (xy) i+ xz cos (xy) j+ sin (xy)k (a) Use th...

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Q: Use sigma notation to write the sum. 20 Σ j- 1

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Q: 4y2 = 3. Maximize Q= xy, where x and y are positive numbers such that x+ Write the objective functio...

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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: 12. Let a and b be non-negative real numbers. Provide an example of an improper integral of the form...

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Q: Find a solution for y in terms of x that satisfies the differential equation and passes through the ...

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Q: Given cost and price​ (demand) functions C(q)=100q+42,000 and p(q)=−1.9q+850​, how many items must...

A: Given query is to find the number items to be sold to obtain the maximum profit.

Q: An annular cylinder has an inside radius of r, and an outside radius of r2 (see figure). Its moment ...

A: Given problem:- An annular cylinder has an inside radius of r, and an outside radius of r₂ (see figu...

Q: Match the quadratic function with its graph. (x) = x- 2)2 y 10 -5 10 10 5

A: Given query is to find the graph of the quadratic function.

Q: 1.n f csc n? de y2 - 2y + 3 2.5; Vy - 3y: + 9y – 21 dy

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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: sinx sinx +x Cosx- e +e The integral -dx may be written as me"sinx +px+qe^ +C, where m, n, p, q, r, ...

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Q: sinx COSX- e +e sinx +x The integral dx may be written as me"sinx + px + ge* + C. where m, n, p, q, ...

A: We have,

Q: - lx + 2 -dx (x – 5)(x – 4) Evaluate + C

A: Here we can solve the integration as below

Q: lim, s0¤(t) = 1? Оа. "+а — 0, z(1) — 2. 0, г(1) — 2. ОБ. — - 0, 2 (2) — 1. Ос. - 2г — — 0. 0, æ(1) 0...

A: To determine which of the following initial value problems has a solution xt.limt→∞xt=1a x'+x=0, x1=...

Q: (2, 2, 4). Find the line ar combination au + Bv that's as Problem 11. a) Let u = (1,2, 1) and v = cl...

A: Here W can be express as a linear combination  Of U and V.

Q: If u = e3x. du = 2 cos 2x dx then du = 3e* dx, v = sin 2x. Select one: True O False

A: Differentiate the equation u=e3x with respect to x.                                                 ...

Q: iven Cost and Revenue functions C(q) = q° - 10q“ +51q + 5000 and R(q) = - 3q“ + 2600q, what quantity...

A: Given query is to find the quantity to minimize the marginal cost.

Q: (a) Use any method to estimate the slope of the tangent to the graph of the given function at the po...

A: Follow the procedure given below.

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: Find the slope of the tangent line to the curve 2a? – 4xy – 4y³ = 4 at the point ( – 2, – 1).

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Q: 28. A particle moves along the curve y = 3x2 +1 in such a way that the y value is increasing at the ...

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Q: A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost p...

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Q: Consider the function f(x) = 3x - 81x on the interval [-5. 4]. Find the absolute extrema for the fun...

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Q: V. Evaluate the following using the chain rule and implicit differentiation. 1. h(x) = (2x + 1)5(3x ...

A: All the parts have been solved in detail

Q: find lim f (x), if it exists. 1– cos z 59. ƒ (æ) = Answer + sin z 60. ƒ (x) = e" – 1 61. ƒ (z) = %3D...

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Q: et cos(t) Ry = e' sin(t) for 0 <t < 5 Find the length of the curve (Hint: You can simplify the integ...

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Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?. where k is a positi...

A: The given question has been solved in detail.

Q: 1 Find the area of the region bounded by the curve y=1--x² and the x-axis. А 8 square units 6 square...

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Q: Given Cost and Revenue functions C(q)=q^3-8q^2+52q+5000 and R(q)=−3q^2+2500q​, what costs should t...

A: The given question has been solved in detail.

Q: T + : 0 UCt )=3€-30€ +72 act)= 6t-30 When is the particle speeding up?

A: A particle is said to be speeding up on the time interval (a,b) iff the acceleration function a(t)&g...

Q: 1+2n 4) De termine whether the serics Converges 37 diverges. If it converges, find its Sum. A) 2 c) ...

A: Given:     ∑n=1∞ 1+2n3n

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A: The given differential equation is: xy'=12y2+y which can be written as: y'=12xy2+yx⇒y'-yx=12xy2 whic...

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Q: 8. y = In(x + Vx² +1)

A: According to given, only 8 is solved  

Q: If a building contractor hires 6 day laborers and 1 concrete finisher, his payroll for the day is $1...

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