dy (t2 – 26t + 120) = y dt

Q: Let X and Y be defined as follows: X = {a E Z | a = 3x for some x E Z}, and Y = {b E Z |b = 3y – 3…

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Q: Find the function f(x) given that f ′ (x) = e x + x and the graph of f passes through the point (0,…

A: Given: f'x=ex+x & Px,y=0,3   As we know that; The Power rule: ∫xndx=xn+1n+1+C And…

Q: r = 5 + 2 cos0 : %3D circle rose inner loop cardioid dimpled convex O spiral lemniscate

A: Solution ) limacons  equation  r = a ± b cos θ If  a > b   = dimpled  a = b = cardioid b > a =…

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Q: 8 culate |4x2dx, given the following. 1 7 8 dx = 114 169 2 Xdx = xdx = 24 1 7 1

A: Given query is to find the value of the integral.

Q: L'équation 5xyz = 2x2 + y² +2z² + 6 définit implicitement z comme fonction de x et de y au voisinage…

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Q: | |x| +1, x 0 (If) f(x) = {0, For what value of a, does lim f(x) exists. x -> a

A: The given function,       fx=x+1,x<00,x=0x-1,x>0

Q:

A: We will find minima, maxima or saddle point.

Q: H.W: find the local maxima, local minima, and saddle point of the functions: 1. f(x, y) = 2xy- x² -…

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Q: Set up and evaluate the triple integral in spherical coordinates needed to compute the volume of the…

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Q: An investment of $13,000 is growing at 5% compounded quarterly. a. Calculate the maturity value of…

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Q: If F(r) = 5 sint dt, then F'(r) =

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Q: nitial ter t und?

A: The distance s from the ground is given by;s(t)=96+80t-16t2When, ball touches the…

Q: c) Find the exact lenght of the curve y = 100x – 100 between on the interval 0 < x < 11/2 Answer:

A: We can find the arc length as below.

Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: Hazel is 24 and wants to retire at age 62. She deposits $1,100 at the end of every 6 months into a…

A: We have to find how much money does she have in the fund when she retires, size of the monthly…

Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate…

A: convergent series

Q: Find the limit. lim (2 – x)3 tan(a) x→1

A: limit

Q: dy 8. 6. Which of the following is a particular solution to the differential equation dx when x = e5…

A: Option D is correct answer.

Q: Evaluate the limit. NOTE: Enter the exact answer. lim x→0 sin? 2x

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Q: Integrate f(x, y) = (x + y + 5)-² over the triangle with vertices (0, 0), (4,0), and (0, 8). (Use…

A: Given problem:- Integrate f(x, y) = (x + y + 5)-2 over the triangle with vertices (0,0), (4,0), and…

Q: Find the ppower Series represerntation for the functior Land determine the radius of f G)=X

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Q: Classify and Solve dy + (1- 2x)y = 4x ,x >0 dx

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Q: Sketch the graph of the following (free hand with size): d) r = sin20 e) r = cos20 f) r = 0 g) r = 3…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Solve the initial value problem. dy 2xy = 8x, у(0) — 0 dx y =

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Q: For the following.problems, you need to provide a clear and detailed solution. s): Consider the…

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Q: Find the particular solution of the differential equation dy (х — 5)е 2у -2y dx satisfying the…

A: To find the particular solution of given differential equation.

Q: Rotate the region specified above by the curve y = x and beneath by the curve y = x2 from x = 5 to x…

A: Explained below

Q: 1. For an earthquake that measures 7.0 on the Richter scale what is the amplitude of the energy…

A: Given Richter magnitude R(A)=logA2.5+4.25  where A is the amplitude of the energy waves

Q: Evaluate the integral 1 12 3x (x - 1) dx 0.

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Q: Find the area of the region that lies inside the curve r = 10 cos 0 and outside the curve r = 5,…

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Q: Find the minor M12 and cofactor A12 of matrix A. 1 6 A= 3 3-2 0 1 8. 5.

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Q: Q1. Find by implicit differentiation; a) an equation of the normal to the astroid x/3 + y/3 – 4 at…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Evaluate the integral. 2x´dx 4 5.

A: ∫452x2dx

Q: (3x² – 6.xy)dx +(-3x' – 2y)dy = 0

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Q: dy х+3у. dx 2х

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Q: Example 4 Identify and sketch the curve 153x-192xy +97y2 - 30x - 40y – 200 = 0

A: answer is in step 2

Q: 4. Use the definition of the Riemann integral to evaluate f(x) dx where (a) f(x) = x². (b) f(x)= 3x…

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Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

A: It is given that A ball is launched straight up in the air from a height of 7 feet.  It velocity t…

Q: r = 3 - 4sine

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Q: Suppose y(t) = 4e-5t is a solution of the initial value problem y' + ky = 0, y(0) = yo. What are the…

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Q: equation

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Q: A lease of $7,900 had to be repaid with payments of $300 at the beginning of every month. The…

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Q: Q-5: [5 marks] Find the points at which f(x) = (x – 2)*(x + 1)³ has relative extrema.

A: Solving extreme

Q: Solve D.E using Exact from first order (x' +y' )dx+(2xy + cos y)dy

A: A differential equations M dx + N dy = 0 is exact if  My = Nx

Q: 0 < x < 1 where f(x) is p.d.f. Find: 1. Let f(x) = Cx (i) the constant C. lii PG < x<) and P(-< x <…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Use the Quadratic Formula to solve the quadratic equation. (Enter your answers as a comma-separated…

A: Given the quadratic equation is 32x2 - 6x + 9 = 0

Q: dx sinx + cosx * 20. Evaluate tan{ 1 + tan; ) +C |+C ) m1- un| +C D) tan(1- tan )+C tan B) In1+tan

A: