The general solution of xdy-ydx = x²e³dx is (A) y+x²+x=0 B x+ye²-cx=0 C y=x*-c=0 (D) x-ye*+cx=0

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √5 -x, 3 ≤ x…

A: We know that surface area obtained by rotating the curve y=f(x) about x axis between x=a & x=b…

Q: 2x-√5+4x lim x→6 x-3

A: The given limit is limx→62x-5+4xx-3

Q: Find y' if y= 8 3 7x

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Q: Write the equation of the circle centered at (2, 9) that passes through (18,7).

A: To find out the equation of the circle.

Q: etermine the rule on the flow diagram 56 7 9 11 72 88

A: Concept: Flow diagram: An action sequence, system movements, and/or decision points are visualized…

Q: dx 2+2 sinx + cos x

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Q: For the equation given below, evaluate y' at the point (-2, 0). y - 6x² + 24 = 0.

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Q: (a) f(z)=3z² - 2z+ 4; z-1 (c) f(z) = 2z+1 (z = -1/2); (b) f(z) = (1-4z²)³; (d) f(z) = (1+z²)4 z² (z…

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Q: Find the surface area of a cylinder with a base radius of 2 in and a height of 6 in. Write your…

A: base radius = 2 in height = 6 in find the surface area of cylinder = ? surface area of cylinder = A…

Q: 7-8e2x lim x→→∞ 12e²x+28

A: To find the limit.

Q: The gradient at (-2,1) is

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Q: Find the relative maximum and minimum values. f(x,y) = x² + xy + y² -34y +385 Select the correct…

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Q: 1. vdv S 602-1

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Q: Find the solution of the given initial value problem: y(4) + 2y” + y = 11t + 6; y(0) = y′(0) = 0,…

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Q: 6³ sin ¹(3x) dx.

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

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 7" 57n3 Σ(-1)-1_ n =…

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Q: Find an equation for the conic that satisfies the given conditions. Hyperbola, foci (0, 2), vertices…

A: Given;  Foci (0,2) (0,-2) Vertices (0,1) (0,-1).

Q: Find fx, f, fx(2,6), and f,(1, -7) for the following equation. f(x,y)=√x² + y² 4-0 (Type an exact…

A: We can solve this as follows:

Q: Find the general solution of the differential equation. y (4) + 2y"+y = 9+ cos(4t). NOTE: Use C1,…

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Q: Find the general solution of the following differential equation. y" + 15y' + 56y = 0 NOTE: Use c₁…

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Q: 3. Use the Cauchy-Riemann equations and the theorem in Sec. 21 to show that the function f(z) = expZ…

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Q: Find the derivative of the function. f(x) = arcsin(8x) + arccos(8x)

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Q: 3. Find the absolute maximum and absolute minimum of f(x) = 2x³ - 6x +1 on [0,3].

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Q: Drug Sensitivity One hour after a dose of a milligrams of a drug Predamestane is administered to a…

A: Let's find sensitivity of the body to a dose of 2 milligrams of predamestane.

Q: 1). 5. If == In determine if the following statement is true or false. Justify your answer.

A: Given that      z = ln(x/y)

Q: 3. Find V x F for F(x, y, z)= -x2 i + x² + y² -yz x² + y² =j+√x² + y²k.

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Q: For the equation given below, evaluate y at the point y - 6x² + 24 = 0.

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Q: 4. Find an equation of the tangent plane to the surface xyz = sin(x + y + z) at (1, −1,0).

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Q: Express lim Σ n → ∞i=1 3 n ( n 3i + COS 9/² 2 as a definite integral

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Q: What is the degree of the homogeneous funcrion f(x,y) = = tan A 0 B 3 C) 2 4x² - 2 [(x + 5)² ] -…

A: We have to find out degree

Q: Write an equation (any form) for the quadratic graphed below 4 3 2 -5 -4 -3 -2 -1 y = 1 -2 -3 1 2 3…

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Q: Suppose you use Newton's Method to approximate a solution for f(x)=x³-4 with an initial guess of Xo…

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Q: The Haycock formula for approximating the surface area S, in square meters (m²), of a human is given…

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Q: O F5 F1 O F4 F-1- F3 F2 Some antiderivatives of a certain function are graphed here. Although there…

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Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

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Q: Sales Analysis The total sales S (in thousands) of a video game are given by at² t² + b' where a =…

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Q: I need a box with a square base and an open top that can hold 500 in What is the least amount of…

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Q: Find F as a function of x and evaluate it at x = 2, x = 4 and x = 7. F(x) = F(2) F(4) = F(7) = F(x)…

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Q: Find the indicated value of the function f(x,y,z)=2x-7y + 4z³ -7. f(6, -5,3) f(6, -5,3)=

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Q: Use the function f(x)= x 4 3.5 3.1 3.01 f(x) = lim f(x) = 6. 2-3- Based on ONLY the table of values…

A: Given f(x)=(x^2-9)/(x-3)

Q: f'(x) = -2 sin(x), ƒ(4) = √² +7

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Q: ind f'(x). f(x) = ln(cos5(3x4))

A: topic:- derivatives

Q: 1. Given r(t) = <In(cost), -1, 2 $₁ 2 A a) Find the length of the curve for r(t) at 0<t< R|4 b) Find…

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Q: Find V x F for F(x, y, z)= - -xZ + y² i+ -yz x² + y² =j+√x² + y²k.

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Q: 1. y" - 2y' - 3y = 5e¹, y(0) = 1, y'(0) = 0 2. y" + 2y + 5y = 3 sin(2x) 3. y" - 4y + 4y = -7x+4x²,…

A: Since you have posted multiple questions. As per guidelines we"ll solve only  first question. If you…

Q: x³y''' – бу = 0.

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Q: Solution:- Given H(jw) -(4+jw) 6+5jw-w² It Can rewrite as:- (jw+4) (- : ; ²= + 1) 6+ (jw)² + 5jw…

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Q: (jw+4) (jw+3) (jw+2) B + (jw+3) (jw+2) A(jw+2)+B(jw+3) (jw+3) (jw+2) Ajw+2A+Bjw+3B (jw+3) (jw+2)…

A: In this question, we want to know how to get the given equation 1 and equation 2 from the given…

Q: Solution:- Given H(jw) -(4+jw) 6+5jw-w² It Can Yewrite as:- (jw+4) (- : j²= + 1) 6+ (jw)² + 5jw =…

A: Concept: Partial fractions: The fractions needed to break down a rational expression are called…

Q: If the angle of the moon is decreasing at 0.25 radian per hour, how fast is the shadow of a 150 ft…

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