The antiderivative of a constant is the family of lines.

Q: e* then the integrand is the same as dx In 4+e¯ 4e* + 1 A) True B) False

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Q: 9. What is the axis of symmetry for a parabola that 10. The axis of symmetry of a parabola is x = -2...

A: 9. The points are (-2, 4) and (10, 4) Notice that: the points have same ordinate, i.e. 4 So, the mid...

Q: Question 17 х dx. (use 2 decimal places, no space) 5+x Let * = 2.74, and y = 3.75. Determine the val...

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Q: Let f(x, y, z) = 2x(y+z), x uv, y = v w, and z = w. Find in terms of u, v, and uw.

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Q: x2dx ²dx 5+ x2

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Q: Consider the following function. f(x) = 2x2 – 6x Find the limit. f (x + Ax) – f (x) lim Ar+0 Ar

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) = x2 ...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Find x' for x(t) defined implicitly by x° +t°x+t +4 = 0 and then evaluate x' at the point (- 2,2). ....

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Q: In the 2000 U.S. Census, a small city had a population of 50,000. By 2010, the population had reache...

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Q: Find the maximum or minimum value of the function. h(x) = x2 + 6x – 2 h(x) = Is this a maximum or mi...

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Q: (cose+ tane) de / (sece + tan@sec2e) de cos e COS True (B) False

A: We have to find out

Q: Given the function f(x,y) = 9xy, answer the following questions. a. Find the function's domain. b. F...

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other ...

Q: I have two "given" pieces of information. Given #1: f(8) = -6 Given #2: First attached image. H...

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Q: Find y" by implicit differentiation. %3D cos(y) + sin(x) = 1 %3D

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Q: 37. Find lim f(x) if, for all x, -4x+6 < f(x) < x²-2x+7. x→-1

A: As question number 37 is highlighted solving that only.

Q: Find an equation of the tangent line to the curve at the given point. (Round you y = x3 - 3x, (2, -1...

A: Given query is to find the equation of the tangent line t (2,-1).

Q: The antiderivative of Cos(3x) is

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Q: Evaluate: [Vx+ sin/X d. A 2x+ cos/x + C 2 (B) x- 2cos/x + C 2х- cos/x + C 2 D x+2cos/x+C E None of t...

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Q: Identify the location and value of any relative maxima or minima of the function. 7) V 2

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Q: Given Cost and Revenue functions C(q)=q3−8q2+56q+5000 and R(q)=−3q2+2400q​, what is the marginal pro...

A: To find out the marginal profit at a production level of 50 items.

Q: In the 2000 U.S. Census, a small city had a population of 40,000. By 2010, the population had reache...

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Q: – 3 If (x) dx: +C, then f (x) =- x4 A) True B) False

A: I have stated the used formula in the solution

Q: Find 16. f t sinh mt dt 17. e sin 30 d0 18. ecos 20 de

A: detail solution is given below.

Q: Consider the second-order, constant-coefficient, linear, homogeneous ODE ay" + by' + cy = 0 where a,...

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Q: d’y -4 dy +y=t²-2t +3 1. dt? dt

A: The given differential equation is; d2y/dt2 -4dy/dt +y=t2-2t+3. Repost the next part.

Q: Consider the following function: f (x) = (x- 4)(x+2) (x +4)(x + 2) i. For what values of x is f(x) c...

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Q: Evaluate: (3x + 1)*dx = Blank 1 (use small letter, no space) S(3x+1°dx,

A: Given  ∫(3x+1)2dx Formula: ∫(ax+b)ndx = n(ax+b)n-1.(a)

Q: Find the oiven denivative by finding the fiot fw denivals ond dbscning the pattern that occurs 106 d...

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Q: Improper Integrals w/ Partial fractions, Integration by parts and u - su L y e-3y dy Зу 11.

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: 3x4– 5xe* +2xcos(x) Evaluate: -dx A x3 - 5e* +2sin(x) + C В х3 - 5e*- 2sin(x) + С 3x4 5ex + 2sin(x) ...

A: The given integral is; [3x4-5xex+2xcos(x)]/x.

Q: SIn°(Ine*) dx

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Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 6 if g(6) = −2 and g'(6) = 5. ...

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Q: If (Mesin(2x) dx = esin(2x) + C, then the M is equal to

A: To find our the value of M. 

Q: Round each fraction to 1.- 555

A: Round the given function.

Q: 2 4-x2 x2 +4 1 2x

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Q: e5 (e4– 5*) dx= 5*+1 +C n + 1 5 A) True B) False

A: Since (e^4-5^π) is constant term , therefore it will come out from sign of integration not integrate...

Q: A function F (x) is called an antiderivative of a function f (x), if A F (x) =f (x) B F(x) =f '(x) C...

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Q: Perform the indicated operation and write the result in standard polar form. 2元 2元 ti sin 3 8 Cos 3 ...

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Q: (x² +2x+3)(5– x) 10. g(x)= 3x+2

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Q: You deposit $2000 in an account with 3% annual compound interest. Complete the following, assuming y...

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Q: (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the di...

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Q: The population of a city is 50,000. The city grows continuously by 2.1% per year. If this trend cont...

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Q: To evaluate the integral expression / sin-(Vx)dv, using simple substitution dv =f (x) dx_ Determine ...

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Q: 13. Find the value of t in the given interval at which the given curve is not smooth. r(t)=(5cost- c...

A: Given curve: r(t)=5cos t-cos 5t, 5sin t-sin 5tt interval: π4,3π4

Q: 4.-/1 pointsLarPreCalcRMRP7 1.2.010. Does the relation describe a function? Domain Range (State) (El...

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Q: Question 1 The coefficient of Sec(x) when J (tan(x) – sec(x))*dx was evaluated is Blank 1 (use numbe...

A: Explained below 

Q: For the following, use the information provided to solve the problem. (7) Let w(x,y,z) = xy cos z, w...

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Q: dy Solve: (e +e-²)- = y? (separation of variables) dx

A: We want to solve the given differential equation.

Q: x?dx ²dx 5+ x2

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Q: 3. y = v2x' +x /2.

A: We need to find the derivative of 3. y=2x3+x