If xy + 4e = 4e, find the value of y" at the point where x = 0. y" =

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A:  Consider the solution of the function to be yx=∑n=0∞an·xn. Now, differentiate it with respect to x,...

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A: We have to find g(6) 

Q: What substitution should be used to solve the integral x²dx 4-9x2 sinu=3x/2 O sec u =2x/3 O sec u =3...

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Q: Given f(x,y) = x3y-3xy³. Evaluate fdy O 14y-27y + C 6. O -6y³ +8y/3+ C бх2 - O 6x2 – 45x + C 4 2x2 –...

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Q: Find the exact length of the curve. 23/2 12, 0 <x < 1 y =

A: Given : y=23x32,       0⩽x⩽1   To find : Curve length   

Q: ly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 65°C, it is coo...

A: Topic:- algebra

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A: Find the Laplace transform

Q: sin(In r) 5. Use the Squeeze Theorem to evaluate lim 1-40+ In (sin z)*

A: Solution is given below:

Q: 1. Find the general solution of (y? – 1) = 4xy? dx dy 2. Find the solution of dx e2x+y that has y = ...

A: Using variable separable. Then integrate it .  According to guidelines we solve only first three par...

Q: Given f(x.y) = e X cos y, Evaluate fx(2,0) e2 cos 2 O sin 2

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Q: Q1 Choose only two: x+5 12+3x - 2. VI

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Q: dy Find if y= (sin x)-1 dx O csc? x O csc x cot x O cor? x X. 1 1-x²

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Q: If f(x)=3x^2-2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x) at the point (10, 2)

A: Given f(x) =3x²-2  And g(x)=1-f(x) =1-(3x²-2) =1-3x²+2 g(x)=-3x²+3 For slope of curve g(x) different...

Q: C. Find i '(t). 1. ř (t) =

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Q: Selecting 3 balls from a box containing 6 red balls and 4 blue balls. Combination Not Combination

A: We will find the given condition is a combination or not a combination in the following step.

Q: Approximate the area below the curve y = (x) from x = 1 to x = 3 by using 5 right endpoints rectangl...

A: Given:   Curve y=12x2            y=x22  From x=1 to x=3 Area using 5 right endpoints rectangles:  ∫a...

Q: Case 4: repeated quadratic factor (very hard!) 8dx • Example 1: r(r2+2)2

A: To evaluate: I=∫8 dxx(x2+2)2 Substitute x2+2=u⇒2x dx=du⇒dx=12xdu So, I=∫8 x(u2)du2x=4∫1x2u2du=4∫1(u-...

Q: people are sharing 6 pies how many do each person get

A: Here we have two people are sharing 6 pies how many do each person get.  

Q: What's More Evaluate the following limits. r - 7x2 + 14x - 8 6. lim 2x2 - 3x – 4 3 3. lim :-2 (2: + ...

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Q: dw at (u, v) = (5, 4) for the function w(x, y, z) = xz + yz - z 2; x = uv, y = uv, z = u. HINT: Use ...

A: w(x,y,z) = xz + yz - z2∂w∂x=z,x=uv∂x∂u=v∂w∂y=zy=uv∂y∂u=v∂w∂z=x+y-2zz=u∂z∂u=1

Q: Find the derivative of the vector function below r(x) = sin (secx ²)i +csc°(Vx² +1)j +8tan(x' k

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Q: Let R be the region inside the polar curve r = 2 sin 0 and outside the polar curve r = 3 – 2 sin 0 a...

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

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Q: A curve in the xy-plane is defined by the vector valued function f(t)= (x(t), y(t)), d'y in terms of...

A: Given : x(t)=2ln(t)y(t)=2sin(-5t)   To find : d2ydx2

Q: Write an equation for the function graphed below. The y intercept is at (0,0.2) 5- 4 3 2 -1 -1 12 4 ...

A: From the given graph we can observe that it is rational function.The zero of the function is at x=1A...

Q: /rite an inequality with x isolated on the left side that is equivalent to the given inequality. Bx ...

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Q: 2 Given f(x.y) = x?y-3xy³. Evaluate fdy O 14y-27y +C 6. O -6y³ +8y/3+ c 6x2 – 45x + C 4 2x2 – 12x+ C

A: Given that a function:  f(x,y) = x2y - 3xy3  And we find value of integration that has limit 1 to 2....

Q: Question 22 Find all the first order partial derivatives for the following function. f(x, y) = 9x - ...

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Q: nd Solve:- 8: Chassify -3x dy + (3X+リ』 = e ノス

A: Given: - The differential equation is, xdydx+(3x+1)y=e-3x To solve: - The solution of the given equa...

Q: Let f(x) = x 2 + 4x − 2. (a) Find the slope of the secant lines from (1,3) through (x, f(x)) for x ...

A: A) msec =f(x1)-f(x0)x1-x0f(1) = 3at x=1.1msec =f(1.1)-f(1)1.1-1 =3.61-30.1 =6.1at x=1.01msec =f(1.01...

Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

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Q: Find all the first order partial derivatives for the following function. f(x, y) = (5x 4y 3 + 6) 2 O...

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 1 and x 3 x-intercepts at...

A: We have to find rational function for the given condation.

Q: Find the indefinite integral. X COS 9TX

A: Given,I=∫ xcos9πx2dxPut u=9πx2Differentiatedu=9π(2x)dxdu=18πxdxdu18π=xdxThereforeI=∫xcos9πx2dxI=∫cos...

Q: 1. A sphere is inscribed in a right circular cone whose slant height has a length equal to the diame...

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

Q: What integration technique can be used to integrate: 2xdx 3+ x2 O Integration Formulas Trigonometric...

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Q: The degree of the derivative of f(x) = (3–x)'(x – 12)° is

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Q: Find the taylor polynomials of orders n = 0,1,2,3, and 4 about x=x0, and then find the nth Taylor po...

A: Given : taylor polynomials of orders n = 0,1,2,3, and 4 about x=x0, Pn(x) for the function in sigma ...

Q: [25/² – 36 dz Evaluate the integral: (A) Which trig substitution is correct for this intearal?

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Q: 4. Use the method of undetermined coefficients to find a particular solution to the system below. Pr...

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Q: What is the second derivative of y = 6x+ – 3x³ + x2 – 5 a. y" = 24x3 – 9x2 + 2x b. y" = 144 C. y" = ...

A: As per guidelines we will solve only  the first question  in the following step. If you want more an...

Q: Given the series 3" Σ n=1 antl find the ratio an (Express numbers in exact form. Use symbolic notati...

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Q: 1. A movie theater seats 240 people. For any particular show, the amount of money the theater makes ...

A: The given that the number of people in attendance is given by: n=240-12p...(1)  where the price of a...

Q: 7. Your friend, Jimbo, asks you for help with a homework question about derivatives, The following s...

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Q: Find dy/dx for: y= x2 cot x

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Q: Below, a circular plate is submerged in a liquid with a weight density of 80. lb Compute the hydrost...

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