What integration technique can be used to integrate: 5dx V3+ x2 Integration Formulas Trigonometric Substitution Power Formula O Integration By Parts

Q: Let f(-6) = -5 and f'(-6) = 7. Then the equation of the tangent line to the graph of y= f(x) at r = ...

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

Q: Let R be the region bounded by the rose curve, r = 6 cos(60) as shown in the diagram below. Find the...

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Q: B. If k is any real number, prove or disprove that sinkx 1. lim x-0 kx = 1.

A: We will prove this by L'Hopital's rule

Q: Given f (x)= (x^2) (e^-x) , find the relative maximum and relative minimum point respectively.

A: We will use derivative to find maximum and minimum value for the function. If f(x) is a function. Th...

Q: ne demand function for a company's product is p = 24e-0.59 where g is measured in thousands of units...

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Q: Solve the initial value problem. y' = (x − 1)(y − 3),  y(2) = 3 y =

A: To solve the initial value problem. 

Q: 교-3 with n5+3 Write an inequlity comparing for n 2 1. n3 (Express numbers in exact form. Use symboli...

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Q: Now the steps to solve the problem: (a) You need to maximize how far the textbook travels horizontal...

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Q: An aquarium 7 m long, 3 m wide, and 4 m deep is full of water. Find the following: the hydrostatic p...

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Q: 2e" dx (e – 1)2 1

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Q: Write the first five terms of the sequence with the given nth term. = cos %3D

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Q: 1. Decide the limit: lim 2x + 3 x-3 2. Explanation

A: Solving the problem by finding the limit of the function.   NOTE :: As per our Expert guidelines we ...

Q: (a) Show that the vectors v = and w = 2 are linearly independent. (b) Explain why 3 vectors in R" of...

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Q: -1 Evaluate: lim X+0

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Q: хр 1. y хр if 8/x + 9Vy = -14. Ap Find ||

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Q: Evaluate the following limits. 1. lim cos2x = X- 2. lim tan3x = 4 3. lim[log3 2x] = %3D

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Q: 1.) Explain why the integral below is an improper integral and what two integrals tell us whether it...

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Q: Find the limits of the functions below a) limr-3 x* sin x b) lim,

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Q: y=4^2x find dy/dx

A: topic- derivative of a function

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2xy – x - 4y² +...

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Q: Convert the rectangular equation, 4y2 x to polar form and simplify. Show work. Convert the polar equ...

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Q: Find all the first order partial derivatives for the following function. f(x, y) %3D хуе "У af dy af...

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Q: Suppose g is a function which has continuous derivatives, and that g(2) = 5, g'(2) = –5, g"(2) = –1,...

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Q: use critical points, first derivative test and second derivative test tools to sketch a curve. Now l...

A: f(x)>0  for  all x>0f(x)<0  for all x<0 f(x) = x(x+1)2f'(x) =(x+1)2-2x(x+1)(x+1)4f'(x) =...

Q: Evaluate the following indefinite integral using a table of integrals for a > 0. Use C for any const...

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Q: Find the interval of convergence for the given series. 2(n + 3)!(x + 13)* Select the correct respons...

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Q: petermine if the improper integral ex J dx is convergert or diverg unt. If it is convergent, detumin...

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Q: Evaluate: Il2dxdy using inner limits 0 to y and outer limits 1 to 2. O a. 0.71 O b.0.375 Ос. 3.75 d....

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Q: Graph the integrand and use known area formulas to evaluate the integral: dx

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Q: Find the solution to the initial-value problem. y' = ey − x, y(0) = 0 y =

A: Given,            y'=ey-x , y0=0To find : the solution to the initial-value problem.

Q: top of the second post. How far from the shorter pole must the peg be installed so that the length o...

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Q: Find all the partial derivatives of: f(x, y) = y7 In(x²) + 9y¬3 – Vx*.

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Q: Find dydx? for f(x, y) = eXy

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Q: 1 -4 -2 B = |0 3 2 0 1 2. A = -1 4 1 -1 2 0 1 4 Find: 1: A.A1-B2 2: BT.B1+A?

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Q: VT VT "cos(x?)dxdy? What is the reversed order of integration of "y O a. cVT X cos(x²)aydx 0. O b. V...

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Q: 7. In the sequence 20, 14, 8.e which term has a value of -70?

A: Given, 20,14,8..... The series is arthematic because constant difference Formula: Arthematic nth num...

Q: discontinuous

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Q: 2e" dx (e® – 1)2 1

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Q: The Normal component of the acceleration of a moving object in space at time t is given by aN + 1 If...

A: Explained below

Q: Selecting 3 balls from a box containing 6 red balls and 4 blue balls. Combination Not Combination

A: We will find the given condition is a combination or not a combination in the following step.

Q: 14. Evaluate * lim,-> 2-5x

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Q: Find the indefinite integral: 30 [cos 3x + sin 2x + e5x]dx 10sin 3x -20 cos 2x +6 e5x + C O 90sin 3x...

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Q: 1. f(x) = x2 + x – 1 for all values of x %3D

A: A detailed solution is given below

Q: The length of an arc of a polar curve r f(0), a s0 sb, is given by the formula: L = Find the length ...

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Q: 5. Consider the graph of y = 7-3x2. Calculate the area enclosed by the curve y= 7- 3x and the x-axis...

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Q: Determine whether the statement is true or false. The ratio test is often useful to determine conver...

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Q: Find all the second order partial derivatives of the given function. f(x, y) = In (x 2y - x) O a2€ _...

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Q: y = x²(x – 5)²

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Q: Let W = F(x , y, z) = xy + yz + xz , where x(t) = 3 + sin(2t -4), y(t) = t2 and %3D dW z(t) = 3 - t....

A: Derivative using product rule

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. + 8) n= 1 li...

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