2. Find the volume of solid generated by revolving the area bounded by x=y²+2 , x=0 and y=2 sbout: a) x=0 b) y=2 c) x=6

Q: find eigenualy gse for -57 to -구 -4 26

A: I have appended the formula used in the solution part.

Q: Write in logarithmic form. 45/2 = 32 log 232 O A. = 4 log 54 5 O B. log 432 = 5 Oc. log 54 = 2 5 O…

A: We want to write the given expression in logrithmic form.

Q: Given: f(x) = 60x3/4(40000-x)1/4 Task: Find f'(x).

A: Here, the given function is: f(x)=60x34(40000-x)14 We use the product rule and chain rule here,…

Q: 1 dx -1 1+ 3x²

A:

Q: Evaluate the following indefinite integral. f11 de dx = (Type an exact answer.)

A: To find out the integration.

Q: Find the one-slided limit (If it exists). (If the limit does not exist, enter DNE.) -6 lim x-4 (x-…

A: Given limx→4- -6(x-4)2 Apply the constant multiple rule limx→4- c f(x) = c limx→4-f(x) with c=-6…

Q: Inx 1 13. lim,

A: We will find the limit.

Q: Direction: Find the antiderivative given the function J (5x + 2)´dx and its corresponding solution.

A: using integration by substitution

Q: x dy + ५ ax X cost d x dy 6- -2 ५

A:

Q: 5) Evaluate the integrals using appropriate substitutions a) sec 2x tan 2x dx b) 2x+1

A:

Q: x/2 2. dy Sin x dy +34 2- X 2

A: A detailed solution is given below

Q: The graph of y = f(x) is given below. Evaluate | f(x)dx 6+ 3- -1 -2 -3 -4 y = f(x) -6+

A: Application of integration

Q: What is the final answer

A:

Q: 3.2 Inductive Reasoning Use inductive reasoning to make a conjecture. Note: The numbers 1, 2, 3, 4,…

A:

Q: 3 csc 6x 07. lim,-n12 'xn/2 csc 2x

A: Given;  Limx-pi/2  3 csc6x/(csc2x)

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n- lim Submit Answer

A: To find the value of: limn→∞∑  i=1n3+in2n=limn→∞2n∑  i=1n3+in=limn→∞2n3∑  i=1n1+1n∑  i=1ni...(2)

Q: e) What are the domain and the range for this situation?

A: Topic:- calculus

Q: X+ 0.4Inx 04. lim, X+3lnx

A:

Q: A slope field is shown for which of the following differential equations? 5 y -2 -1 = ex dx O dy dx…

A: Solution: Given data, According to the given options generate the slope filed .

Q: Geometric Sequence A. Find the indicated terms of the following geometric sequences. 1. 12, 6, 18,…

A:

Q: 1-cos 4x Find the derivative of y sin 4x

A:

Q: Which of the following properties of the logarithmic function in the form g(x) =log.(x) where a >0…

A:

Q: Evaluate the integral: *Input answer as decimal round-off to 2 decimal places.

A: Given problem:-

Q: Find the moment with respect to x=4 for the first-quadrant area bounded by y^2=4x, the x-axis and…

A: We have to find moment with respect to X=4.

Q: 1-Find the area of the region R under y=x? + 3x +2 Between x=-1 and x=2 2-the region bounded by…

A:

Q: Jx cos 3x dx Using Integration by parts, what should be the u and the dv? O u = xdx, dy = cos 3x Ou=…

A: Given : ∫xcos3xdx    To Find : Value of u and v in integration by-parts

Q: dy Use implicit differentiation to determine dz given the equation zy + cos(z) = e".

A:

Q: Evaluate the integral 5*dx |(Type an exact answer.)

A:

Q: The graph below is the function f(x) 구 -8 -7 -6 -5 -4 -3 \2 -1 -2 -3 -4 -7 of lim f(x) = x → - X…

A:

Q: 7. p =5+2/6 a. Resolve into factors: x-8(x-y) 1 b. Show that p° = 396/6 p° c. Find the value of p…

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

Q: 1. Which of the following relations is FALSE. A) (ab)" = a"b" B) C) (a")" = a"* D)

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repost others.…

Q: 1 х-х2 dx -8 2

A:

Q: 11. Given đ = (2, x, –3) and b = (5,–10,y), for what values of x and y are the vectors collinear?

A: We have to find the values of x and y for which bothe the vectors are colinear

Q: Find the centroid of the solid generated by revolving about the indicated axis the area bounded by…

A:

Q: 8. The (2*+1 – 2k) = %3D k=0

A:

Q: Find the derivative of the function at Po in the direction of A. fxy) - - 2ху - 5у, Ро(9, - 4), А-D…

A: To find the derivative of the function at P0 in the direction of A.fx, y=-2xy-5y2, P09, -4, A=-3i+3j…

Q: 2) Evaluate the integral and check your answer by differentiating. – 2x dx a) J"(2-x)° dx b)

A:

Q: Q2 ) Use the Simpson's rule with (n = 4) to estimate thef²n sinx dx . 2

A:

Q: S. 14 V1 + 7x dx

A:

Q: x/2 dy 2. -y=e

A: According to the company rule we can answer only first question and rest can be reposted.

Q: lim, [-6(x – sin " x)(cscx)'] 0-x,

A:

Q: X+0.4Inx 04. lim,+ X+ 3lnx

A:

Q: 2 x= - 5, x=2, y = 5x, y =x -6

A:

Q: An object moving in a straight line with an initial velocity of 65 m/s undergoes an acceleration of…

A:

Q: Let D be the region that is bounded by the surface z = x + y² and the plane z = 4. ,2 a) Find the…

A:

Q: dx (2x241)a

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: An earthquake was recorded with an intensity which was 630,957 times more powerful than a reference…

A: Given that I=630957×I0

Q: The following integral may be solved using substitution. Choose a function u that may be used to…

A:

Q: lim,[-6(x - sin' x)( cscx)] CSC X

A:

Q: 1 lim x COS X

A: See this solution in below