Which of the following is an improper integral? In3e A xe COSX dr хе -2 S In(x++1) dx В dx 2x + 8 D -dx x²– x – 2

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: Given polar curve r = −6 sin(θ) do the following. (a) Find the Cartesian equation for this curve. (b...

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Q: Write an equation for the transformed logarithm shown below, that passes through (0,0) and (1,-3) -5...

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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, ...

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Q: Find the indicated derivative of the function. for y = -4 cos X dx4

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Q: 7.5- yy - 9 4+9) dy -6- 8.S 1 dx e2x+ e-2x

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Q: Find the area of the region bounded by the curve y=1--x² and the x-axis. 9. (A 8 square units B 4 sq...

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Q: 1. The velocity of a plane is modeled by v(t) = –1+ cos (+ 3 sin (), measured in miles per minute, f...

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Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is (2y/x)+Iny=c (2x/y)+3ln...

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Q: find the second derivative of y = x In x A 1/x в) 1/2х D) 2x

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Q: 6TH GRADE MA MON There are 28 students in math class, 22 of the tudents passed a recent rest. What p...

A: Given query is to find the percentage of students passed the test.

Q: (2) elnx = x (1) sin-1x = V1-x2 (1) ax A- Show that : cos x (2) lim x- cosx (2) (1) limx-0 В- Find :

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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: If   C(t)=50te^−0.5t measures the​ concentration, in ngml​, of a drug in a​ person's system t hours ...

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s). f...

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Q: Find the length of the following curve. If you have a grapher, you may want to graph the curve to se...

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Q: If f(x) = tan (3x), then f'(æ): (A) 12 tan (3x) sec2(3x) (B) 4 tan (3x) sec2(3x) (C) 12 tan (3x) (D)...

A: Using chain rule of differentiation

Q: Using the partial fractions technique, the function x) can be written as a sum of partial fractions ...

A: To evaluate the integral.

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: d?y =6- 9x and which passes through the points (0, – 1) and (2, 3) - Find the equation of the curve ...

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Q: A mountain climber is about to haul up a 50-m length of hanging rope. How much work will it take if ...

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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: Replace ? with an expression that will make the equation valid. d. x* +5 = ex +5? dx The missing exp...

A: Consider the expression  ddxex4+5=ex4+5   _

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: Given cost function C(q) = q° - 125q + 26000q, what is the minimum average cost? It would be $per it...

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Q: dx Evaluate Зх — 12 A) o в) 1 (c) + 00 D 00

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Q: F (x. y) = 3x2+3y2-18y+15 4- /2x+4y+4 a) Find domain b) Find sign Diagram

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

A: topic - derivative of a function

Q: show, by direct substitution, that the given functions y1(t) and y2(t) are solutions of the given di...

A: Given differential equation y''+4y=0  y1(t)=cos(2t)     , y2(t)=sin(2t)

Q: 2) Find tue indefinite inpegrel W V 2w +5 dw

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Q: Previous question If C(t) = 79.5t e -0.13t ng of a drug in a person's system t hours after the drug ...

A: We will find the rate if change of drug administered. 

Q: Question 1 A stone is thrown vertically upward from the top of a house 112 feet high. If it was thro...

A: We need to find time when stone passes top on its way down.

Q: Using product rule to find f’(1) in f(x)=4x^4(e^x)

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Q: a) Find the length of the curve y(x) = x3/2/3- a/2, 3< x < 4. b) Find the area of the surface obtain...

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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

Q: Let f(æ) = (4x² + 5æ + 2)° f'(x) =

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Q: find dy/dx  y^(2) sec(x)+e^(xy) =1

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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: dA Evaluate the integral where Ris the region: {(x,y)|0 <x < 1,-3 <y< 3} R

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Q: Question The position of a hummingbird flying along a straight line is given by the function s(t) = ...

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

A: Given y=lnex+e-x To find y'':

Q: cos(x + y), when x = 0,y =" dx

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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(cseg + cotsde 5. 2

A: Use simple integration formula.

Q: 00 sinn Does the series (- 1)" : 2 converge absolutely, converge conditionally, or diverge? n= 1

A: First I have written the definition of Absolutely CONVERGENT series and then show that given series ...

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: 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: Find the indicated derivatives, using the following information: g(3) = 10 g'(3) = – 3 f(3) = 4 %3D ...

A: Given: So,        fg'(3)=f'(3)g(3)+f(3)g'(3)          =(-1)(10)+(4)(-3)          =-10-12          =...

Q: For 1-3, determine if the statement is true or false. If a statement is true or false, explain why. ...

A: 1) The function defined by g(x)= -3(x+4)(2x-3)4 touches but does not cross the x-axis at (3/2,0). Th...

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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