b ""P+C. What is the value of the sum a m The general antiderivative of (3x2- 4)2x2 can be written as a+b+d+m+n+p? 64 60 69. 65

Q: Find real numbers a andb such that the equation is true. a+ bi = 11 + 7/ %3D

A:

Q: The acceleration of an object (in m/s2) is given by the function a(t) = 9 sin(t). The initial veloci...

A:

Q: Given revenue and cost functions R(q)=80q−0.3q2 and C(q)=13q+600​, find the marginal profit at a q...

A:

Q: If y = (t² + 2t + 6) (3t² + 5), dy find dt dy dt ||

A:

Q: The integral of (10*/ cos 10*)dx may be written as A In | sec B* + tan B* | + C. Where A, B, and C a...

A:

Q: S 12x²Vx3 + 7dx

A: This question can be solved using the concept of integration by substitution.

Q: Vhich of the following integrals is equal to the integral f(3x - 5) dr?

A: Use simple integration concept.

Q: The integral of the function below may be written as me" sin(x) + px + qe"* + C. Where m,n, p, q,r a...

A: Solution is here

Q: (a) e2tsin (wt +t/6)

A:

Q: sin-cos-sino de has the form 2 -F(e) +C. What should be the value of e to make F(e): The resulting i...

A: We will find the value of theta. 

Q: of dr? e-ex

A:

Q: Solve the differential equation by using integrating factors. xy' = 3y + x2

A:

Q: a b The general antiderivative of (3x2– 4)2,2 can be written as P+ C- What is the value of the sum a...

A: Option D is the correct answer

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

A: Equation

Q: Describe the graph of the function. ) (x- 3)2 +7 O parabola opening upward O parabola opening downwa...

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A:

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3 – x² and ...

A:

Q: What is the integrable form of dr? du u du

A: Given integral is:  

Q: 3. Consider the following surface and the point Pon the surface. Let C'be the path of steepest desce...

A: f(x, y)=y3 - x2∇f =fx, fy =-2x, 3y2Descent = -∇f =2x, -3y2This can be put as;that the slope of the d...

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

A:

Q: Suppose the temperature of a metal plate is given by f (x, y) = the temperature of the metal plate i...

A:

Q: 4 TT 1 4. 2. 3 y = 1 + V2 csc x csc x + cot x P.

A: Find your answer below 

Q: Using the integration bay parts formula with u = x- dv = cos x dx, the integral x cos x dx becomes

A: The given integral can be solved as follows:

Q: Replace ? with an expression that will make the equation valid. d 1 In (x8 +9) : %D dx 8 x° +9- The ...

A: Given query is to find the derivative of the expression.

Q: 22s Determine whetuer the improper e de dliver ges or 16x It elbe converyes

A: Here we have to determine whether the improper integral ∫0∞e8x1+e16xdx diverges or converges.  

Q: A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost p...

A:

Q: (a) Use any method to estimate the slope of the tangent to the graph of the given function at the po...

A: Follow the procedure given below.

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

A:

Q: t 9dz 9dz The infinity in the can be eliminated by lim (1– 3z)4 (1- 3z)4

A:

Q: Differentiate the functions: 1. y = 3x – Vx 2. y = 2 – 3x – 3. Given the function f(x) = x³ – 5x + 2...

A:

Q: If a building contractor hires 6 day laborers and 1 concrete finisher, his payroll for the day is $1...

A:

Q: The Taylor series expansion is given by: 00 (-1)" sin x= 2n +1 (2n + 1)! n= 0 Evaluate sin 44° using...

A: We will find all the asked values using Taylor series expansion as following.

Q: By substitution u = x² + 5x, the definite integral (2x + 5) In (x + 5x) dx becomes Select one: O Non...

A:

Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 2n Σ 7...

A: We can test the convergence as below.

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: 1.n f csc n? de y2 - 2y + 3 2.5; Vy - 3y: + 9y – 21 dy

A:

Q: Question Find the equation of the tangent line to f- at the point P(1, 2) for f(x) = /3 – x. %3D Pro...

A:

Q: lim (r +1)' sin x (c) X-0 2x (d) sin x lim 20? + sin 0 lim (e) 40

A: Topic = Limits As per guidelines , at a time only three sub-parts can be answered. please repost for...

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...

A:

Q: Find f'(x). f(x) = (5 + In x)° 6. f'(x) =D %3D

A:

Q: Find the volume of the solid formed by rotating the region enclosed by x = 0, x = 1, y = 0, y = 7+ x...

A:

Q: Help

A: We will find the dimension to minimize the fencing. 

Q: Which of the following are exponential functions? Select all that apply.

A: Given,           To check the exponential functions.We know that,           An exponential function ...

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

A:

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x 2, an...

A: We use the formula for volume=π integration of y2 from x=a to x=b.

Q: bacteria culture initially contains 2000 bacteria and doubles every half hour. Find the size of the ...

A: Given query is to find population of bacteria after indicated time  

Q: O Find a general salution answ r リーx- C-X

A: The given differential equation is: xy'=12y2+y which can be written as: y'=12xy2+yx⇒y'-yx=12xy2 whic...

Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of ...

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the...

A: It can be solved using differentiation and quadratic formula.

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

A: