a · Va? +1 dæ: 3 Consider the indefinite integral This can be transformed into a basic integral by letting U = and du dx Performing the substitution yields the integral du

Q: Find the general solution of the differential equation y" – 3y" + 2y' = 0.

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Q: dy Suppose ax 3 and y( ) = 2. 1+9x2 3 T What is y( 4 )? Оп O 2.261 O 2 IT 4

A: See below the answer and calculation

Q: Question 1 ( Use the First Derivative Test to find the local maximum and minimum values of the…

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

Q: Find fr(x, y) and f,(x, y) given f(r, y) = tan r - cos(r² – y³).

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Q: Question 10 of 10 sin x g(x) = Select the correct response 1 /x cos x 2x cos x sin x - O Va cos x 1…

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Q: tan x d. y = sec? t dt 3 е. y = dx 1— х2. its

A: We have to find dy/dx for the given function

Q: Find the laplace transform of cosat using the formula L{f(t)} = e-stf(t)dt . Hence find the laplace…

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Q: Use f(x) = 4x - 5 and g(x) = 3 - x to evaluate the expression. (a) f(g(0))= (b) g(f(0))=

A: Given query is to find the value of indicated function.

Q: What is the first derivative of the equation? 2. What is the second derivative of the equation? 3.…

A: Follow the procedure given below.

Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 3 - %3D

A: Solving

Q: If logx y = 100 and log2 x = 10, then the value of y is: O a. 2 to the power thousand O b. 2 to the…

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Q: Howat Find the akeas fax the fallewing regions Area enclosed by the diagram to V= Sin 3o

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Q: QUESTION Determine the length of the missing side of the right triangle below. Round your answer to…

A: The given triangle is:

Q: Question 5 of 10 r(x) = cot2(3x² + 1) Select the correct response -6x2 csc(3.r2 + 1) cot (3.x + 1)…

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Q: Evaluate the f 2 3 8xy dxdy=? e following integral by usin tes -8 dA = ?

A: We have to find the value of the given integration according to the given information

Q: Ti al Write step-by-step solutions and justify your answers. Solve the initial-value problem y" +y -…

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Q: Identify the conic section 9a2 – 16y? – 36æ – 96y = 252 | - Parabola Hyperbola Ellipse What are the…

A: The genreral equation of conic section Ax2+By2+Cx+Dy+F=0if A=B≠0  then it is circleif A≠B and…

Q: 1. Find the area bounded by a curve y? = 9 - x and the y - axis. %3D

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 2-Jx-3 b) lim 7-х

A: b) Let I=limx→72-x-37-x

Q: If the ideal gas law (PV=kT) is used to find P when T and V are given, but there is an error of 0.3%…

A: PV = kT   P = kTV                                               1…

Q: solve D.E (Z+3j) du – 2xydy = 0

A: Given problem:- (x2+3y2)dx -2xydy=0

Q: Find dy/dx: а. y = cos t dt

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Q: Find the gradient of the function at the given point. g(x, y) = 5xev/x, (8, 0)

A: Follow the procedure given below.

Q: Write the radius of the circle x 2 + y 2 + 5x - 4y = 0. √(29) √(41) √(41)/2

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Q: graph of (x- 1) + (y - 4)2 = 1 is shown on the right. Use implicit differentiation to find the…

A: Given query is to find the slope of the tangent at x = 1.8

Q: Find the volume of the shaded region when revolved about the indicated axis. 21 x = V7+ y 14 A 234 I…

A: Use the washer method for finding the volume of rotation.

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin () h(2) = L, (cos…

A: Use part I of the Fundamental Theorem of Calculus to find the derivative of

Q: R={ (x,y): 0<x, 0 y, x²+y? <49} be enclosed region. The result of the following double integral (by…

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Q: Two people who want to meet each other will show up independently at a random time between 7am and…

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Q: Determine the value of c for which 70 13n lim (1+ T 00

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: d.) lim f(x) = e.) lim f(x)= -3 -2 f.) lim f(x) = X-I*

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Q: 6 Write the equation in general conic form of the circle with center (2, 3) and r = 7 x 2 + y 2 -…

A: To write the equation of circle with the given center and radius.

Q: Find the interval of convergence for the given power series. (* – 11)" n( – 10)" The series is…

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Q: For time, t, in hours, Osts1, a bug is crawling at a velocity, v, in meters/hour given by 7 v = 6 +t…

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Q: Hawad Findthe areas fak the fallowing regions 2 Area af the region insidethecircle (r=1) and outside…

A: Given

Q: 9 Find the length of the major axis of the equation x 2 + 4y 2 = 4. 8 2 4

A: Standard equation of ellipse is x-h2a2+y-k2b2=1 with major axis is the horizontal axis.And length of…

Q: . Let f(x) = x'6/3 – 19x337. Determine the largest n for which f € C" (n-times continuously…

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Q: Question 15 Determine the interval of convergence for the power series that can be used to represent…

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Q: Without eliminating the parameter t, find a Cartesian equation for the line tangent to the curve C,…

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Q: Consider the function y= ¿x³ – a. Sketch the graph of y= -x³ - 9x + 4. b. Find and describe the…

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

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

A: Directional derivative

Q: 5. Suppose a is a positive real number. Determine the area of the triangle enclosed by the lines y =…

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Q: The first three terms of a sequence are given by 5x + 8, -2r+ 1, x-4 (a) When x 11, show that the…

A: To find out the terms of the geometric sequence.

Q: Question- Let R be the region bounded by x= y-25, and x= 1. Then draw the region and. evaluate the…

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Q: One solution of the differential equation -y" + 7y - 12y = 0 is y = e3x. A second linearly…

A: Solution in step 2

Q: Find and sketch the domain for the function. f(x.y) = In (x? + y? - 4)

A: We can solve this as follows:

Q: 7. Use linear approximation to approximate the value of log(99) without the need for a calculator.…

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Q: The volume V of a right circular cone of radius r and height h is given by V =r?h. %3D (a) Find a…

A: Given the volume V of a right circular cone of radius r and height h is V=13πr2h.

Q: 9. Find the work done by lifting a 20 ft rope that weighs 3 lbs per foot to the top of a cliff if…

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