Q1: Determine the volumew of revolution obtained by rotating the region bounded by y = √√9-x², 3y + x = 6, x= 0 and x = 3 about x — axis.

Q: C- for the function below, the domain and the range is respectively y = y=√16-x²

A: Given :y=16-x2

Q: The derivative of the function f is given by ƒ'(x): = e¯* cos(x²), for all real numbers x. What is…

A:

Q: Find the surface area of the plane ( 15x-5z+20y=35) if it is in the first ? octant

A: Let's find surface area of given plane 15x-5z+20y=35 in the first octant.

Q: 1 Consider the volume of the region shown below, which shows a right circular cone with top radius 2…

A: Given problem:-

Q: B) The Value of the integration for the below function shown is : sec²2xdx = [sec²2x+c] tan (2x)+c]…

A: To find out the integration.

Q: Find the horizontal asymptotes f(x) = = Justify your answer. 5x3 √9x6 + 4x² − 1

A: topic- horizontal asymptotes

Q: The point x = 0 is a regular singular po +(1.5x+x²)y'-0.5y=0 x²y" a. (r+ 1)(r-2)=0 b. (r+ 1)(2r-1)=0…

A: Given differential eqution x2y''+(1.5x+x2)y'-0.5y=0

Q: Q5) Solve the following using Trapezoidal rule with n=6 2 f(x) = [²xtnx. dx 0

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Q: PMT is Maximum Monthly Payment = 3,504 i = 3% n = 30

A: topic-  algebraic operation

Q: Use the method of variation of parameters to find a particular solution of the following…

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Q: Find the value of k so that the given differential equation is exact. (y³ + kxy4 - 2x) dx + (3xy2 +…

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Q: B- The derivative is y = In (sec (In 8)) In 0 sec 0 O it is it's In 0 cos 0 an another answer tan…

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Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A: (d)     Given that                            u = 233 feet   at  0 feet         We have to…

Q: Answer: y = -√2 sin x + 3 # Find the particular solution, y = f(x), to the differential equation dx…

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Q: Q3- Use Green theorem to evaluate [7y-ex]dx+ [15x-sin(y³ + 8y)] dy Where (c) is a positively…

A: This is a application of integral problem

Q: Let f(x)=0.5x²-x-7. Solve each equation graphically to two decimal places. (A) f(x) = 4 (B) f(x) =…

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Q: Q.IB) If w=f(u, v) where u = tan ¹2 &v=ln(x² + y²), the show that: Əw dw aw +y ax dy 2- ду x-

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Q: 1505 152 maxa 081 din 3a. Find the coordinates of the relative maximum and relative minimum of the…

A: Solve the following

Q: Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an appropriate…

A: Given problem:- Solve the given initial-value problem by finding, as in Example 4 of Section 2.4, an…

Q: fcx) = sinh x X il 10 - 2 (1+X+X/21 + X/31 + -)-(1-X + X²/21 - X/31 --) 2 3 +2 5 2x+2 31, 2 3! 51…

A: We know, coshx= [ex+e-x]/2 and emx=1+mx+m2x22!+m3x33!+... for any real number m

Q: Solve the following initial value problem. y+y"=6x+8e; y(0) = 1, y'(0) = 0, y''(0) = 1 The desired…

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Q: 4-If B=(2,-2) and C=(5, 8). Then, B.(2C) equal: a) 12 b) -12 c) √12 d) 1/12

A:

Q: Evaluate da √7²√7²-49) x>7, using a trigonometric substitution.

A:

Q: A) Evaluate the following integral (x - 1)(x − 2)(x-3) -

A: Given, ∫1x-1x-2x-3dx

Q: Show the derivation of the following Maxwell relations with complete solutions (F)-(23) Әр as as…

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Q: B) Find derivative of the following function d -6tanx dx

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Q: For the function g(x) = (x-6)²-16, find each of the following by referring to the graph. (A)…

A: Here we have to find the given property.

Q: B-The result of dy/dx for the following function is cos x y = 1+sin x

A: We have to find out derivative

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

A: Given: dydt+30y=48,  y=85-85e-30tTo Find: we need to verify the solution.

Q: Find fog and go f. f(x)=√√x-6, g(x) = x³ + 1 (a) fog (b) gof Find the domain of each function and…

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Q: Use the Laplace transform to solve the given initial-value problem. Be sure to allow time for…

A: Given IVP y''-5y'=f(t)  , y(0)=1 , y'(0)=-1L(f(t))=8s-4-4s+1

Q: (b) Find the complete solution (y = ye+ yp) of the following equation using undetermined…

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Q: Find the Taylor polynomial of degree 3, centered at   a = 0   for the function   f ( x ) = √ x + 7

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Q: Graph the equation in a rectangular coordinate system. y = 3x-8 Use the graphing tool to graph the…

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Q: 5x²-3x+2 x³ - 2x² 4. Use the method of partial fractions to evaluate ·[³ d.x.

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Q: - for the function below, the domain and the range is respectively y = x²/5

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Q: Find the magnitude of x, y, and z from the following equations by using the inverse matrix 2x + 3y +…

A: Solution

Q: e three terms of the expansion for √1+x to calculate the value of 1.4996. ... 1.4996= Do not round…

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Q: B- for the function below, the domain and the range is respectively -2+√1-x (-∞0,00) & [-2,00)…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 121+ 18 + bh + S2 + b fl

A: We can solve this as follows:

Q: Question 1. Tangent and Velocity Problems Exercise 2.1, Problem 3. I need answer part b and c only…

A: Slope of a secant line is =( f(x2)-f(x1))/(x2-x1) we have to find the the slope of the tangent line…

Q: EX: Estimate the value of 1.1.5 Sol 3 (4.5 = (1+0.5.), X=015 by..binamia.l.sevies... m. = 0.15…

A: We have to expand it by using binomial expansion.

Q: Find derivative of the 6tanx following function d dx

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Q: Evaluate the line integral along the curve C. [(x+3y)dx + (x-y)dy, C: x= 2cost, y = 4sint, 0≤ts-…

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Q: Problem Solving 1. For the following problems, determine the area of the region between the two…

A: Solved below.

Q: 1 Evaluate the integral of ₁dx for P > 1, and determine whether it is convergent or divergent. xP

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Q: 7.) fu) 0 GET THE EQUATION OF THE GRAPH 29 na a 7 49 59 ||(\:* 69

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Q: The result of dy/dx for the following function is COS X y = 1+sin x

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Q: Consider h(x, y, z) = cos (ry) + e + In (zz) at the point P (1,0, P(1,0,¹). mine the following: (a)…

A: Given problem:-   consider h(x,y,z)=cos(xy)+eyz+ln(xz) at point P(1,0,1/2)  Determine:- (a) the unit…

Q: Verify that the indicated function y = p(x) is an explicit solution of the given first-order…

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