K Evaluate using integration by parts or substitution. Check by differentiating. [(5x²-2x) e 7x dx [(5x² - 2x) ex dx =

Q: by n equal width the width of each subinterval Ax in terms of the number of subintervals n. Ax=…

A: a. interval [ 0 , 2 ] number of interval = n

Q: p(x) q(x) points for such a function? 1. Suppose f'(x) = where p(x) is linear and q (x) is a…

A: A point x=a is said to be a critical point of a function f(x) if(i) f(a) exists  and (ii) f'(a)=0…

Q: Write out the form of the partial fraction decomposition of the function (See Example). Do not…

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Q: 1. Compute the integrals. a. L² see 0 sec¹r tan³ r dr

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Q: A slice of Ampalaya cake is removed from an oven at 210 °F and left to cool at room temperature,…

A: As we know that; The solution of the Newton's law of cooling differential equation is:…

Q: Horizontal asymptote(s): y = f(x) = Find the horizontal and vertical asymptotes of f(x). If there…

A: We need to find asymptote.

Q: (A) B (D Which of the following is an integrating factor for xlnxdy + (y-2 lnx)dy = 0 ? Inx .X…

A:

Q: Let f(x) For what values of x does the graph of ƒ has a horizontal tangent. = x + 2 sin x.

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Q: angles betwe J A 180°, given equati nd a. Sin (0) = 2/ r/m

A: Topic:- trigonometry

Q: If f(x) = 3 x² 2 find f'(4).

A:

Q: Line 1: 3x - 5y = 15 Line 2: a line perpendicular to 3x - 5y = 15 that contains the point (3, -5)…

A: solution is given ...

Q: f(t) = " 1/(t+5), (t+5), 2 √t + 2, t≤ 0 0 1

A:

Q: lim x→16 1 √x-4 8 x-16

A: Topic- Limits We are given limx→161x-4-8x-16and we know thata2-b2=(a-b)(a+b)

Q: K Find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=8-9 Inx;…

A:

Q: Find the following derivative and state a corresponding integration formula. 3x - 1 2x2 + 2x + 2 d…

A: Derivative

Q: f(x) = x +2+1 202

A:

Q: Consider the following limit statement: lim (2x-6)=8 x+7 Find the corresponding value of ō when & =…

A: Condsider the following limit statement: limx→7 2x-6=8To find the corresponding value of δ when…

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing.…

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Explanation of the answer is as follows

Q: Use implicit differention to find an equation of the tangent line to the curve at the given point:…

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Q: Compute A³, A-3, and A2 - 2A+ I. 5 11 NOTE: Write the elements of each matrix exactly. A³ A-3 A ? ?…

A: Answer in step 2.

Q: f(x)=((x^18)+1)/(e^x)), find f’(1)

A:

Q: Which of the following functions has a graph that is thegraph of y = 2x shifted down 3 units?(a) y =…

A:

Q: 2. a) Find the area inside the graph of r = 8 + cos 0 and the right of y -axis. b) Determine the…

A: Area of a region in polar coordinate is Area=∫∫rdrdθAnd length of a curve in polar coordinate is…

Q: Find an equation of the line described. Leave the solution in the form Ax + By = C. The line…

A: Given data÷ Points÷ -3,6 and 3,-1   Equation of line having two points is given by÷ Points÷ x1,y1…

Q: Find the line through (7, 1, -6) that intersects and is perpendicular to the line x = -1 + t, y = -2…

A:

Q: If the distance between (-4, 3) and (−4, a) is 4 units, find all possible values of a. (Enter your…

A: Let's find possible values of a.

Q: 2. Find the solution of the given initial value problem. y" - 6y' +9y = 0, y(0) = 1, y'(0) = 2.

A:

Q: | Find the general solution to the DE (x + m)dy = (nx - py)dx

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Q: 5) 2xy dx + (x² + 3y²) dy = 0 (exact equation)

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) h(x) =…

A: The given function is h(x)=sin2x+cosx   ,  0<x<2π We have to find the critical numbers of the…

Q: Which of the following is the general solution of dx u² + 2x² = C xu²+u = C ²x²u²+2u=C du -xu²…

A: If any of the given options is a general solution to the given differential equation. Then…

Q: 2) Is the discontinuity x = 0 for the function f removeable or non removeable. Fully justify your…

A: We need to explain removable or non removable continuity at x=0.

Q: Which of the following is the general solution of xln x+y=lnx²? Jhy y = lnx + C C y = ln x +- In x…

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Q: If the amount of capital that a company has at time t is f(t), then the derivative, f'(t) is called…

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Q: For the function graphed below, find the values of x at which the derivative does not exist. (Enter…

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Q: but how did you get that s+3 in the nominator

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Q: the exact value of the trigonometric function at the given real number. (a) tan(-37) X (b) _csc(-37)…

A: See this solution in below.

Q: Verify that and use this equation to evaluate 2-1(2-4) (Aª dx 1

A:

Q: 3 f(x) 4 X + 3 3 X³ - 2 √x

A: Dear student as per bartleby police we are allow to solve one doubt as a time. Please repost other…

Q: Question 12 Find the derivative of the function. (A) 15s¹4+70sº +30s¹ B 15s14-70s +30s¹ E 158¹4-70s…

A: Topic- Derivative of a function We are given, H(s)=(s10+6)(s5-7)and we know thatddssn=nsn-1

Q: (a) Draw the vectors a = (4, 3), b = (2, -1), and c = (9, 1). y 10r 10 5 5 p po kap -10 5 -5 5 10…

A: (a)  to draw the vectors a=(4,3)   b=(2,-1)      c=(9,1)

Q: Find the derivative dy/dx by implicit differentiation cos(xy) = 1 + sin(y)

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Q: Solve the initial value problem 11 -x dx - y = ¹²e³; y(0) = -1 dx 8 Find the general solution ● (x²…

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Q: (A) (B) For the equation +7x²y = 0, y(0) = 2, the value of y(1) is dx Ze-7 33/1 e ... ... ...

A: As we know that; The standard form of a first-order linear differential equation is: dydx+Pxy=Qx The…

Q: Use a table of values to evaluate lim 2x³-250 Olim x+5 x²-25 2x³ - 250 Olim x+5 x²-25 2x³-250 Olim…

A: a^2-b^2=(a-b)(a+b)

Q: show that both orders yie SS 0 55. dy dx

A:

Q: X lim 3П CSC 3x sin 23 x sec23x -- СоС3x cos23x + tan ²3 x

A: Let's solve given limit problem.

Q: A B (U) D The integrating factor for (2y - xy2)dx - (3x+x²y)dy = 0 is 5 2xy 5xy xy 1 2xy

A:

Q: Use the properties of the derivative to find the following. r(t) = ti + 4tj + t²k, u(t) = 5ti + t²j…

A: