B sin 5x+ sin 3x 1 sin 5x+-sin 3x+c 6 I 10 fcos 4x cos.x dx = ?

Q: Part II f(x)=x² A. g(x)=(x-3)² f(x)=x² B. g(x)=(x+3)² p(x)=(x-3)² +5 p(x) = (x+3)² +5 f(x)=x²…

A: We need to find vertex. As per Bartleby's guidelines we can solve only one part. Please upload other…

Q: 1 The volume of y = (3x+1)+,x=0, x=8,y=0 O (28/9) T O (26/3) T (1372/9) π O (248/9) T

A:

Q: n! n=12n! +1 A. The limit does not exist. B. None of the choices in this list. C. The series…

A:

Q: Find lim 1-0 does not exist -1/2 Ο Οι Ο 1/2 O O Ο Ο Ο Ο Ο Ο O O O e* - r -1 Other: Δ

A:

Q: √x²-1 The value of the definite integral / dx is in the form F(b) - F(a), where a and b are the…

A:

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

A: Given: 4x+8y=8, y=0 x-axis, x=0 y-axis So, the bounded region is as shown below. Apply the disk…

Q: Which of the quantities is nearest to the value of * exp 0.003 1.001 cos(0.002) ? 01 O 1.001 O 1.002…

A:

Q: Evaluate the following definite integrals Lx finck if fo for if xxO (sin x 1 x >0

A:

Q: y"+y' = 0; y(0) = 0, y'(0) = 1 cost + sint t + cost + sint O B) 1- e-t t-e-t OA) OD)

A:

Q: X -S²- VO- The numerical value of dx will be equal to

A:

Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³ + 1| + C dx…

A:

Q: Which ONE of the following statements is FALSE? OA. If the function f (x,y) is maximum at the point…

A:

Q: anufacturing budgeted $60,000 per mont for lab rials. If $x is spent on labor and Sy is spent on…

A:

Q: If web₁x-b₂y-b3z, w= where b₁,b2, b3 are constants and b² + b² + b = 1. Show that 8² w 8² w 8² w əx²…

A:

Q: evaluate * √2 2 dw √11+10w-w² O = -0.7973 O=-11.574 = -0.7297 One Hand on Pen, Other on Phone, One…

A:

Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

A: Using shell method, given format is obtained.

Q: iven u=[3,-4, 5] and v=[ 8, 15, -17]. Find (a) u dot product v (b) v dot product u (c) u cross…

A:

Q: 5. x-y(2-y) and x=-y

A: The given curves are; x=y2-y and x=-y Now find the point of intersection between the given curves.…

Q: Use the shell method to find the volume of the solids generated by revolving the shaded region about…

A:

Q: dy Find dif: y = ln(x + √² + a² O a √2+²+² O b. √ О с. √√2²+0² O d. none of these O e √√zta

A:

Q: Ifv= U (x² + y² +2²), then 025 + 0 + 02 is dy² 0 0 01 1 O-1/2 O Other:

A: Here we have to do the partial differentiation of the given function.

Q: y = 10t² 10 S3 5+²

A:

Q: The power series representation of f(x) = ln(x2-1) is given by Α. 24-1-1x", -1x<1 n=1 n+1 B. None of…

A: To find the power series representation of the given function.

Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: First we find revenue function from given data.  And then we find maximum revenue for sold…

Q: Find dy dx : y = arctan 2+1 x-1 at x = 1

A:

Q: 2. Using your calculator, determine how many solutions the system has. Then without a calculator,…

A: This question is based on solution of Polar function.

Q: Evaluate the following integrals: (a) [*[**cos(2) dx dy VI- b) √ √²²- e−2²−² dy dx (Hint: Use polar…

A: We have to find the given double integral. (a) The given integral is…

Q: terval of convergence of the series Σ(√n+1-√n)(x+2)" is given by -3<x<-1.

A: It is convergent when  |x+2|&lt;1  -1&lt;x+2&lt;1  -3&lt;x&lt;-1

Q: If w = eb₁x-b₂y-b³z, where b₁,b2, b3 are constants and b3 + b3 + b3 = 1. Show that อพ อพ อพ 02 อ 0z2…

A: Here in this question, we need to solve the given partial differential equation. The solution can be…

Q: Find y': e siny + e cosx - a. none of these e sinz+e siny e cosy-e cosa e sinx-e siny ex cosy+eycosx…

A: Find y'

Q: Which of the following equations can be derived from the partial fraction decomposition of a…

A: We can solve this problem as follows:

Q: = The cylindrical shell method is to be used to compute for the volume of the solid generated by…

A: We need to choose correct option.

Q: Consider the spherical equation given by p sponding equation in Cartesian coordinates. 4 cos sin o.…

A:

Q: The graph, when the curve y=√(3+ x^2) from x = 0 to x = 4 is rotated about x - axis is O. O O ...…

A:

Q: - Given the function f(x, y, z) = x ln(1 – z) + and simplify your answers. a) fa b) sin(x - 1) 2y…

A:

Q: +1²y=y² If the function u = ln (2¹+2²4 - v² ) then a Su rou + you is

A:

Q: Consider the following sequences n In (1+n) (ž) e^/(n²+1), (iii) n²+2n - 11. Which of the above…

A: We have to check which sequence is monotonic increasing.

Q: If u = ₁+₂y+z, where a₁, A2, A3 al constants and J²u J²u J²u น a +a+a = 1. Show that + + = U. მ2 მყ2…

A: This question is based on Partial diffrentiation.

Q: If A = {x+|x-1| : xER}, then which of ONE the following statements is TRUE? A. Set A has a supremum…

A: The set A=x+x-1: x∈ℝ

Q: Find the critical points of f(x) = x³ - 24x² + 144x and use the Second Derivative Test (if possible)…

A: Solution of given question is written in below steps.

Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y-axes. If the region is revolved…

A:

Q: Evaluate the following: 1. lim (et+t)¹/t t→0+ z4-z²-2z+2 2. lim z 1 z8-2z4+1

A:

Q: -1 33x 0 43x dx

A:

Q: The area between the curves f(x) = x and g(x)= x^2 on interval [0.2] * 02 Me: wow I finally…

A:

Q: Which of the following is true? * 3 f ƒ (x, y) = x³ – 2xy + 3y² f = -2x+6y + 3xy²; fy=3a²-2y+z³…

A:

Q: Find the area bounded by x2 = 4y + 4 and x = y 2. Using vertical element, what is the integral…

A:

Q: Eliminate the parameter 1 to find a Cartesian equation for: x = t² and y = 4 + 2t. and express your…

A:

Q: The area of a circle of radius a can be found by the following integral a. f (a²-x²) dx √a²-x²dx O…

A: Given

Q: Use the shell method to find the volume of the solids generated by revolving the shaded region about…

A: This question can be solved using the concept of shell  method.

Q: Which of the following describes the partial fraction decomposition of a rational function of the…

A: When there is a whole square in the denominator, it it divided into two parts. One consisting of…