11. f -dx 3x+1 +4x

Q: 1. Solve the following a) 430.00(1+0.05) b) 1.2:4.2:60= 5 45 4 64 c) y: 9 8 (1+0.05)³3 -1 0.05

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Q: Find the arc length of the graph of the function over the given interval. y = In x, [1, 8]

A: Given that  function  y=fx=lnx,1,8The formula for arc length of a curve y=fx over thhe interval a,b…

Q: Given: f(x) = 0.2 + 25x-200x^2 +675 x^3-900 x^4 + 400 x^5 from a = 0 to b = 0.8 and segment equal to…

A: Given that      f(x) = 0.2+25x-200x2+675x3-900x4+400x5   from a=0 to b=0.8 and segment equal to 8.…

Q: 3. 3 1 S (2x - 4y)dydx 1 -1

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Q: QUESTION 6 Which of the following functions are separable? Of(x,y)=In(xy) f(x, y) = x² + y f(x, y) =…

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Q: 3. 2 洲 dx

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Q: Evaluate: x5 exdx when a and b are limits of integration such that a is the numerator and bis the…

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Q: Show all your work to receive full credit. Write your answers as complete sentences. 1. Integrate…

A: Topic = Integration

Q: Find the first partial derivatives of the following function. f(x,y)=x²-3xy-6y²

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Q: The velocity function (in meters per second) is given for a particle moving along a line. Find the…

A: You must have idea how to find distance under v-t curve.

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 3 cos(t)i…

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Q: The half-life of Strontium-90 is 28.79 years. If a sample contains 490 mg, how many mg will remain…

A: Given half life is 28.79 years Initial mass =490mg To calculate mass after 180 years.

Q: 3 1. f ³√x² dx

A: Solution : Given that integral is

Q: Show that for each positive integer n the polynomial (x-1)2 is a divisor of q(x)=nxn + 1 -(n + 1) xn…

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Q: 2x B. Find the horizontal, vertical, and oblique asymptotes of the curve y = X+1

A: The given curve y=2xx+1

Q: dx + 2x dx = 2x²y² dy

A: dx+2xdyy=2x2y2dy dxdy+2xy=2x2y21x2dxdy+2yx=2y2.......1equlet 1x=v differentiate with respect to y…

Q: 13. 2ny(8- y³/2) dy A) 4² (14 — y³/²) + C 7 2my 7 (14-y3/2) + C C) B) T² (14+y³/2) + C 7 D) 4²…

A: 13. The given integration is: ∫2πy8-y32dy To evaluate the given integral.

Q: What is the area of the region between  y=x^2 -2x-3 and the x-axis from x=0 to 6?

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Q: a. For the function and point below, find f'(a). b. Determine an equation of the line tangent to the…

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Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: To find f'(a) & equation of tangent:

Q: 2. Find the equation of the line tangent to the circle x + y + 6x - 2y - 15 = 0 at the point (1,-2).

A: x2 + y2 + 6x -2y -15 = 0  given we have to find equation of tangent line to circle  for that first…

Q: Use the estimate to approximate f(99). (Use decimal notation. Give your answer to four decimal…

A: Given :fx=1x

Q: 2-x Evaluate: 44-3 dx A. In 4x² + 4x-31+ In 2+ 8. In 4x² + 4x-31+In+C c. In 4x² + 4x-31+In++C D. In…

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Q: B. Solve the following equations for y. Answer two only. i.__8(2y-³) = (-¹)(V-2), 16 e√y = 1² In(y +…

A: We can solve for 'y' .

Q: The resistance R of a copper wire at temperature T = 25 °C is R = 18 22. Estimate the resistance at…

A: Let's solve.

Q: Determine the intervals on which f'(x) is positive and negative, assuming that given figure is the…

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Q: Use the divergence of the vector field to compute F(x, y) = (tan-1 (2²)) i + (xy-2 +82²) j 4 fo…

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Q: Solve the following initial value problem. Provide your answer below: f(x) = ƒ"(x) = 36x² + 6x – 10,…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y =…

A: y = x5 y =1  find V = ?   V = π∫(f(x))2dx here we have to find limit of x  here first quadrant given…

Q: 47. Suppose cote>0 and sec 0 <0. In which quadrant could terminate? (A) Quadrant I (C) Quadrant III…

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Q: Find the indefinite integral. (Use c for the constant of integration.) (2ti + j + 9k) dt 2ti + tj +…

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Q: H.W: Evaluate the integral 1. 30 [ (x²y - 2xy)dydx 0-2

A: Given: ∫03∫-20x2y-2xydydx

Q: 4. At which points does the function f have absolute maximum or minimum, or local maximum or…

A: Absolute minimum:- Minimum value of total function Absolute maximum:- Maximum value of total…

Q: Is the function has a extreme point? If yes, Locate the extreme point: 1 + 3x V4+5x2 y

A: Find derivative of function and equate to zero to find critical points

Q: - 1. 1 [(ow + √w) dw

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) x + y lim (x,y) → (0, 0) x²…

A: To evaluate: lim(x,y)→(0,0)x+yx5+y

Q: Question 2 Given the equation −4x² + 8x − 4y² − 56y - 4z² + 32z = -312 a) Show that the given…

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Q: The direction field of the DE y' + ye³x+7 = −2y² will have a line segment with positive slope at the…

A: Given: y'+ye3x+7=-2y2

Q: 16. (yety-1/y) dx + (xey + x/y²) dy = 0

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Q: Let r(t) = (e²t, e−³,5t) Calculate the velocity vector and the acceleration vector at t = 0.

A: r(t) = ( e2t , e-3t , 5t ) given  find velocity vector and acceleration vector    velocity vector…

Q: Estimate using the linearization L(x) of f(x) = at a = 49. (Use decimal notation. Give your answer…

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Q: Given the vector field F(x,y,z)= , find the divergence and the curl of F.

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Q: e (5-x) dx = xydy

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Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(8) and y = r sin(8), and note that (x,…

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Q: find the limit, if it exists. If the limit does not exist, explain why. limx→2 1−|x|^2/1−x^2

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Q: 12. (2xy³ + 1) dx + (3x²y²-y¹) dy = 0

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Q: Compute u v if u and v are unit vectors and the angle between them is

A: topic- dot product of vectors

Q: A submarine begins to descend at 9 meters per minute. It begins 15 feet underwater. A. Write a…

A: 1 metre= 3.281feet

Q: Consider the following situation, which involves two options. Determine which option is less…

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Q: B)Solve the differential equation =(3+x¹)+x²e³x.

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