22. 13 (2x-3)(x² + 1) dx 16x4 23. dx 4x²+1

Q: 2. (Series) Determine if the following series converge or diverge. If it converges, find the sum. i.…

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: Find the exact length of the curve √x = 1 + 6t² y = 6+4t³ for 0 <t≤4

A: Answer:   6817​−4Explanation:For any query with the solution please ask in the comment box.

Q: Find dy dx y=9lnx+5 loggx

A: The objective of the question is to find the derivative of the function y = 9ln(x) + 5log(g(x)) with…

Q: Σ N 3 | n² 3 2 (n + 1)²

A:

Q: A. Find the equation of the line that passes through the points A(1,-1,1), B(1,2,0).

A:

Q: Solve for x. −1+ 1+x+x² + ··· + x² + 10 n where|x|<1. 3 x king and you will earn half credit for…

A: x = 1/5Explanation:

Q: C. Find the equation of the plane that passes through A(1,2,-1) and parallel to the plane - -x+y z =…

A: The given equation of plane is  and the given point is .

Q: Evaluate the integral √¹²x² tan¹(x)dx Give your answer correct to 2 decimal places in degrees.…

A: Therefore, the value of the integral is approximately 13.75  degreesExplanation:To solve the given…

Q: If z = f(x, y), where f is differentiable, and x = g(t) y = h(t) h(1) = 5 h'(1) = -7 g(1) = 4 g'(1)…

A: Answer : -47Explanation:Note:f≡f(g(t),h(t))and   fx​≡fx​(g(t),h(t))

Q: Recently, a certain bank offered a 5-year CD that earns 2.7% compounded continuously.If 20,000 is…

A: The objective of this question is to find out how many years it will take for an investment of…

Q: Use the One to One Property of Exponentiation to solve the following exponential equation. Input…

A: 23x= 41+xWe have to find value of x using one to one property of exponential

Q: Hello  I got this answer, but part of the explanation was cut of.  could you help with the missing…

A: Certainly, I can help you with the missing parts of the explanation, and explain how z = u and x = u…

Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) = 4x² -…

A:

Q: Find the slope of the curve at the given point P and an equation of the tangent line at P. y=x²+5x,…

A:

Q: (a) Graph each of the following functions on the same screen, using the viewing rectangle [0, 1,…

A: for question a see the attachment for explanation and answerafter plotting the points on the graph…

Q: d 3 Evaluate dx √√In(6 - x²) at x = 1.

A: −15ln(5)32​2​Explanation:

Q: The temperature of a metal plate at the point (x, y) is given as T(x, y), where T(x, y) is measured…

A: To solve for for  T_y(6,4) , we are seeking out the price of trade of temperature with apprehend to…

Q: what's the final answer to a and b?

A: The objective of the question is to find the moment of time t0 and the point P0 on the curve r(t)…

Q: find y as a function of x if y'" + 81y' - = 0 where y(0) = 1, y'(0) = 81, y"(0) = 324

A:

Q: Compute the mean, median, and mode of the data sample. (If every number of the set is a solution,…

A: The objective of this question is to calculate the mean, median, and mode of the given data set.…

Q: What does the funtion N = grad(s) mean.  What does grad do ?

A: The function N = grad(s) is a mathematical expression that is used in the field of calculus,…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The exact area of the parallelogram is 726​. The approximate area of the parallelogram is…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The answers are as follows: (a) The vector equation of the plane is r.(−9,15,10)=−23. (b) The…

Q: how did we find 100/3

A:

Q: | x- and y-intercepts Z #9 Find f (x,y,z) if f(x,y,z)= 32²x² - 13y²+212 Pzy +XZ хуг у de ху

A: fzy​=(x2+y2)22y​−y2x​Explanation:Hope it helps youplease ask if you gets any doubt please give your…

Q: In this problem, p is in dollars and x is the number of units. If the supply function for a…

A: 996Explanation:Detailed explanation:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Exercise 2.- Calculate the average value of the function f(x) =…

A: The average value of the given function isgiven by,Here,

Q: Find the volume of the following solids.   The base of a solid is the region between the curve y…

A: The objective of this question is to find the volume of the given solids. The base of the solid is…

Q: Find f'(x). f(x)=-6 Inx+13x² -7

A: The objective of the question is to find the derivative of the function f(x) = -6 ln(x) + 13x^2 - 7.

Q: Round to one decimal place as​ needed.

A: The objective of this question is to find out the time required for an investment to double if it is…

Q: 3x3 +5y3 lim (x,y)-(0,0) x² + y²

A: To find the following limit.

Q: John is floating on a tube in a wave tank. At t 1 second, John goes over a wave at a maximum height…

A: We need to solve the sinsoudial model problem.

Q: Answer the following questions about the graph of g based on the information related to g′ and g′′.…

A: Given graph of g

Q: The length {, width w, and height h of a box change with time. At a certain instant the dimensions…

A: Detailed solution of the problem is attached below,Feel free to comment below if you want any…

Q: During each cycle, the velocity v (in meters per second) of a robotic welding device is given by v =…

A:

Q: Find the derivative off with respect to x of f(x) = In x 10 The derivative of f with respect to x of…

A: The logarithmic formula: ln⁡xm=mln⁡x .The derivative of logarithmic function: ddxln⁡x=1x

Q: lim n!en 1/2

A: √(2π) Or. √2 •. √πExplanation:Step 1: Step 2: Step 3: Step 4:

Q: The value of a car, V = f(a), in thousands of dollars, is a function of the age of the car, a, in…

A: Detailed solution of the problem is attached below.Explanation: Detailed explanation:

Q: Determine ALL restricted values for: Log (In (log2x)) 2 and explain why

A: The given function

Q: For the given cost function C(x) = 14400+500x + x² find: a) The cost at the production level 1450…

A: For the cost function , to find the following: (1) The cost at the production level 1450.(2) The…

Q: 2 #12 Given f(x, y, z) = 3√ √ x²+ y²+z² (a) Find the linear approximation L(x, y, z) near the point…

A: a.) The linear approximation is L(x, y, z) = 2√2 + (-1/√2)(x + 2) + (1/√2)(z - 2)b.) The linear…

Q: 2 sin x+3sx=3 Write your answer in radians in terms of π. If there is more than he solution,…

A: c

Q: For the given cost function C(x) = 44100 + 300x + x2 x², First, find the average cost function. Use…

A:

Q: Chow is it called, #8 Given the surface x²+ y² = Z² Sketch in 2D the level curve 4 corresponding to…

A: The surface x² + (y²/4)= (z²/9) is an elliptic paraboloid.The level curve for z=12 is an ellipse…

Q: C. Find the equation of the plane that passes through the points A(1,-1,1), B(1,2,0) and C(0,1,-1)

A:

Q: 7) Find the derivative of x(x) = (2x+3)³ (2x+3)+2x+4 X + √ 7

A: Given that, we have to find the derivative of y(x).

Q: 1) Calculate the derivatives using Implicit differentiation au ᎧᎢ and of (TU – V)²ln(W – UV) = 1 at…

A:

Q: 1 2x STAR -1

A: y(x)=1e2x−1dydx=ddx1e2x−1Using the Chain Ruleddxf(g(x))=f′(g(x))g′(x)Using the power…

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A: The given integral is .We can solve this integral by integrating by parts formula method.Integration…

Q: Solve and include restrictions for: e^(2x-3) = 2^(3-2x) (An explanation to this problem would also…

A: Answer is given below :-Explanation: