ファー Choig nd Selve the :- ィ39+ジ = ze +5

Q: Use separation of variables to solve the differential equation explicitly for u. du dt = 3 + 3u + t...

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Q: Q1: if AB = i + 4j – 2k and B is the point (5,1,3), find point A.

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you wan...

Q: x + y + exy = e a) Find dy/dx using implicit differentiation. b) Find the slope of the tangent lin...

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Q: Evaluate the following integrals. Express the final answer in its simplest form and without negative...

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Q: 9. What is the slope of the curve at the given point? Sx² + 2.ry – y² = -3 at (.2)

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Q: 4. If cos 4A - -1/9, find cos A 5. If tan 4A - 24/7, find sec A

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Q: Complete the analysis and sketch the graph of the function y=x3 -x2 -8x+8. The answer should include...

A: We can analyse function as follows  

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2xy – x - 4y² +...

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Q: 1. When is separation of variables applicable?

A: (1). . When is separation of variables applicable?

Q: (а) dy/dat = sin 2x. (b) dx + e dy = 0. (с) zdy/dx — у. (d) cosec y dx + sec2 x dy = 0. dP (e) dt Р-...

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Q: 2. Find the y" of * y = 3-2x 3x+5

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Q: Find the general solution to the differential equation. x2y' = (x + 9)y

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Q: 1 if x - 1 I-2

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Q: The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventua...

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Q: Let F(x , y, z) = g(y) + h(z) + 5 In(x - 2) , where g(y) and h(z) are differentiable functions of si...

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Q: Suppose that x = x(t) and y = y(t) are both functions of t. If x2 + y2 = 25, and dx = 2 when x = 3 a...

A: Given that x=x(t) and y=y(t) are both functions of t . If  x2+y2=25           ..(1) Differentiate eq...

Q: ソ= cos 0 +1

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Q: 1. Find two consecutive even integers whose product is 168.

A: Find two consecutive even integers whose products is 168.     Here i attached the solution of this q...

Q: Find the solution to the initial-value problem. y' = 3x2(y2 + 16), y(0) = 0 y =

A: Given:- y' = 3x2 (y2 + 16), y(0) = 0 To find:- The solution to the initial-value problem.

Q: . Complete the analysis for and sketch the graph of the function f(x)= 2x2 -3x-14 ÷ x2-2x-15 . Use ...

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Q: DG question pls solve it neatly on раper Question A neal surface for which the equations G %3D %3D h...

A: The given equation is; E/L = F/M = G/N

Q: Write each of the following in Sigma notation: 1 2 3 4 5 +-+-+ 3 8. 9 + 16 + 25 + 36 + 49 + 64 + 9. ...

A: For (8),     9+16+25+36+49+64+...=32+42+52+62+72+82+...=∑n=3∞n2

Q: A frictionless highway Turn has a constant curvature 1.96 x10 -2 m-1 is banked at an angle 0 = tan-1...

A: I am attaching image so that you understand each and every step.

Q: 2n a. Find the local extrema of the function f(x) = cos 3x + 3 sin 3x on the interval 0sxs and say w...

A: 0≤x≤2π30≤3x≤2πf(x) = cos 3x +3 sin 3xf'(x) = -3 sin 3x + 33 cos 3x f'(x) = 0-3 sin 3x + 33 cos 3x=0t...

Q: A parametric representation of the curve of intersection of the two surfaces x2 + 5y2 - z = 0 and 4y...

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Q: Compute the partial sums S2, S4, and S6. 8 8 + 22 S2 = %3D S4 = S6 =

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Q: у-аxis 24 1- +>x-axis -1 1 2 3 4 5 6 7 -3 -5- -6+ What is the equation in standard form of a circle ...

A: In this question we have to find the equation in standard form of a circle.

Q: For f(x, y) = xe**Y, find fy (1, In 2) O 2 O 2 In 2 O 4 In 2 +2

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Q: 5. (a) Find elementary matrices E; (avoiding ones that swap rows) which will row reduce the matrix 1...

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Q: S sin(3x + 2) cos(1 – 4x)dx

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Q: Set-up (Do not solve!) the volume of the solid whose base is bounded by the graphs of y = x + 1 and ...

A: First we need to sketch the graph of y = x+1 and y = x2-1

Q: The graph of the equation 2x² + 3y² + 12x – 12y + F = 0 is ether an ellipse, a point or an empty set...

A: In this question we have to find the condition for F.

Q: Solve the initial value problem. y' = (x − 1)(y − 3),  y(2) = 3 y =

A: To solve the initial value problem. 

Q: _8_3z Find a simplified series representation of z°ez Σ answer = n=0

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Q: Using the method of Lagrange multiplier, determine the minimum and maximum values of f(x,y,z)=2x+3y ...

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Q: 12-41-12 dx Evaluate the integral: I+2

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Q: 1. The product of two numbers is 24. Find the numbers if (a) the sum of the two numbers is minimum, ...

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Q: Write the equation of the line tangent to the graph of r = 5 cos (40) when 0

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Q: 1. f(x) = x2 + x – 1 for all values of x %3D

A: A detailed solution is given below

Q: Find the Taylor polynomials of degree n approximating cos(2æ) for æ near 0: For n = 2, P2(x) For n 4...

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Q: Determine the derivative of x2 + 2xy + y? = 10 implicitly. Determine the derivative of y sin x = x³ ...

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Q: 2) a. The graph ofthe function f(x) = ax²+ bx + c has the y- intercept of 3, and its tangent at the ...

A: Let's find. 

Q: 교-3 with n5+3 Write an inequlity comparing for n 2 1. n3 (Express numbers in exact form. Use symboli...

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Q: Find the average rate of change of the function f(x)= −6cos(x/4), from x=8 to x=8.34.  Note, the di...

A: Given:     f(x)= −6cos(x/4), from x=8 to x=8.34. 

Q: if g(x)=f(x)-h(x) find the derivative of g(x)

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Q: Given f (x)= (x^2) (e^-x) , find the relative maximum and relative minimum point respectively.

A: We will use derivative to find maximum and minimum value for the function. If f(x) is a function. Th...

Q: -1 Evaluate: lim X+0

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Q: 01:42 d. Calculate the area enclosed by the curve y = 2x2 +3 and the x-axis between x = 0 and x 2. 4...

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Q: Find the critical numbers of f(x)=x²e* %3D Select your answer

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