E) + ») dy = 0 4x3 3 dx + y 3x

Q: Use any method to determine whether the series converge. (a) E 4k k=1 The series (b) E 4k + 1 k=1 Th...

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Q: xy' =2xe* – y + 6x²

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Q: Determine C when x-y%3D0 (xy + x)dx = (x²y² + z² + } + 1)dy O C=0 O C=1 O C-1 O None of the Choices ...

A: Given:- (xy + x) dx = (x2 y2 + x2 + y2 + 1)  dy To find:-  When x=y=0 then find C

Q: lim (x*- 2x2-3)*

A: Let L is the value of given Limit.

Q: 6. Verify the identity: sin x 1 + cosx 1 + cosx sin x 2 cscx %3D

A: Topic = Trigonometry

Q: Find the radius of the sphere x2 + y? + z? – 2x – 8 = 0. %3D 4 O 2 O 3 9,

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Q: dy (3x+4x (2x – 1)° , find the dx Let y =

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Q: Please show your answer to at least 4 decimal places. Suppose that f(x, y) = xy. The directional der...

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Q: 5. Find the absolute maximum and absolute minimum values of f(x, y) = 3xy-3x– 6y+1 on the closed tri...

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Q: sinx 4. lim X0 sin nx

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Q: Let f(x, y, z) = xy+ z². In this problem, we find the directional derivative of f at (5, – 2, 1) in ...

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Q: Let S be the plane with the equation x + y – 3z – 6 = 0. - Find the distance between this plane and ...

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Q: 1. lim (x+ 2) r→4

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Q: Evaluate the DE y²/x(x+y) = -y'

A: Given

Q: Let g(x) = *-f(x) S(x) find g'(1), if f(1) = 4 and f'(1) = 2 c. - d. а. 2 b.

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Q: dy in y= sin x Find dx 1+cos x cos?. а. 2 x+ sin x +cos x 2 cos x+ sin? x b. (1+ cos x) 2 (1+ cos´ x...

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Q: 1+2x (b) g(x) = 3-x

A: The given function is: g(x)=1+2x3-x To find its derivative using the limit definition which is: f'(x...

Q: Pharmaceutical firms invest significant money in testing any new medication After the drug is approv...

A: Given that: Percentage of physicians, P(t)=100(1-e-0.42t)

Q: 4. y xy

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Q: 1. Rewrite the following improper integrals as a limit and then evalute them, or state that they div...

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Q: 4 sin“ x cos° x dx

A: As per our guidelines we are supposed to answer only one question and rest of the question will be r...

Q: Determine the value of C for the given first order differential equation when x-2 and y=1. e#+v/ = e...

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Q: Express the repeating decimal as a fraction. 0.4444. ..

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Q: Given f(x, y) = 4e2" sin(2y) %3D then V f(0, 7) =

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Q: Use f(x) = 3x − 5 and g(x) = 2 − x2 to evaluate the expression. (a)    (f ∘ g)(x)=   (b)    (g ∘ ...

A: Solving the problem by finding the value of composition.

Q: y = Che- + C2e-2 + x %3D y - 3y – 2x + 2y +3 = 0 Option 2 O None of the choices y/" - 3y - 2x - 2y+3...

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 E (-1,^...

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Q: Determine if the given function is continuous and differentiable at the indicated values of x. Write...

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Q: Question 2 The trough below is full of water. Recall that water has weight density 62.4 lb/ft³. 2 ft...

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Q: Which of the following functionis islare homogeneous? You could choose more than ane from the choice...

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Q: Determine C when x=y=O (xy + x)dx = (x²y² + x² + y³ + 1)dy C=0 C=1 C=-1 None of the Choices C=2 C=-1...

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Q: Q2) Solve given differential equation using undetermined coefficient superposition approach y" - 2y"...

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Q: 1 2. If f(x) = and g(x) = , then lim [f(x) - g(x)] equals х2 -х X-1 x→1+ а. -1 b. 1 C. -00 d. 0

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Q: 3. y = V(2x +5)3

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Q: Determine whether the series converges. 17 19k k=1 The series

A: ∑k=1∞1719k consider f(x)=1719kuse integral testlima→∞∫1a1719xdxThen∫1a1719xdx=1719∫1a1xdx1719(ln(a)-...

Q: 6. lim 4x(x+2) 77

A: Let's find. 

Q: 33, 34, 35, 36, 37, and 38 The region bounded by the given curves is rotated about the specified axi...

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Q: 10. limx- 2x+x- 713

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Q: Find an equation of the surface of revolution generated by revolving the plane curve about the indic...

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Q: (x+1 4. lim f(x) = {(x - 4)2 +3 if x <4 if x 24 ズ→1

A: Given: fx=x+1, if x&lt;4x-42+3, if x≥4 To Find:  To determine limx→1 fx, then to graph the function ...

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Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

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Q: he cost in dollars of producing x units of a particular telephone is C(x) = x² - 2500. a. Find the a...

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Q: The inequality a ob < 0 imples that the angle between the two vectors is O obtuse O the right angle ...

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Q: eliminate the arbitrary constants y^3(x+2y)=c^2y

A: To eliminate the arbitrary constant we have to differentiate the function wrt x.

Q: The curve y = ax + bx + c passes through the point (1,8) and is tangent to the line y = 5x at the or...

A: Given that: y=ax2+bx+c passes through (1, 8) and tangent to line y=5x at origin.

Q: - x Find the general solution of the differential equation: dy + ( 2xy 4e dx = 0. What is the integr...

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Q: 5. f(x) = c= x3-x %3D

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Q: What is the slope for the function y = 2x2 + 2 at the point x 3?

A: given y=2x^2+2

Q: The height (feet) of a ball launched in the airt seconds after it is launched is given by: f(t) = - ...

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