Find the value of dt Oa 40 Ob.53 Oc 23 Od.13

Q: For the functionf(x) given below, evaluate lim f(x) and lim f(x). x00 X→ー0 f(x) = -5x - 3x + 2 cos…

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Q: An object moves with acceleration function a(t) = 5 + 2t – 9t². Its initial velocity is v(0) = 6 m/s…

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Q: Cha invests Php5,000 in an investment that earns 6% per annum. How many complete years does it take…

A: Given Cha invested(P)= Php5,000Rate of interest (R)=0.06Time (t)=?Amount (A)=Php 10,000We know that…

Q: Each of the regions A, B, and C enclosed by the graph of f and the x-axis has area 6. Find the value…

A: Answer and explanation is given below...

Q: Q5) Find volume of body bounded by z? + y? + x? = 9.

A: Let's find.

Q: 22n Σ (2л — 1)". - Vn² + 1 3 n=1 Use limit comparison test to show that the given power series is…

A: Solving

Q: Find an equation of the plane that passes through the points (1,5, 2), (3, 4, –2), and (-–5, 5, 1).…

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Q: We are told that the sand is falling onto the pile at rate of 9 cubic feet per minute. We want to…

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Q: Let slx) = tan X %3D 3, ind ) tanx dx using Lebesgue in tegral.

A: To evaluate the integral.

Q: Find the local extrema of the following function. f(x,y) = - 8x-8xy-6y + 120x + 68y + 3 Find f,(x.y)…

A: Given f(x,y)= -8x²-8xy-6y²+120x+68y+3 So, fx(x,y)= -16x-8y+120=-8(2x+y-15) And fy(x,y)= -8x-12y+68=…

Q: Find an equation of the plane through (-7, 2, –6) that is perpendicular to the planes 4x – y + z = 4…

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Q: Evaluate the following integral using Partial Fractions Method: x³ + x? y = dx х2 + х — 2 -

A: Follow the procedure given below.

Q: 2n Σ (2т — 1)" Vn2 + 1 n=1 Use alternating series test to show that the given power series is…

A: Given the series is ∑n=1∞ 22nn2+132x-1n

Q: xist enter DNE.

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Q: Given that x=t3+t and y=3/2t4+t2, find dy/dx, d2y/dx2, d3y/dx3

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Q: Q2) Solve the D.E dy + (xy – xy²)dx = 0

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Q: 2n br 3n

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Q: 25 a²y(cos(Tz) +2) dæ dy dz

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Q: Determine whether the line and plane intersect; if so, find the coordinates of the intersection. (a)…

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Q: ) Oppositely directed to v = (15, –18) and half the length of v. w = (?, ?)

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Q: Let f : [a, b] R be a continuous function on [a, b). Prove that if |f(x)| dx = 0 then f(r) = 0 for…

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Q: 5. Evaluate f V2x + 1 dx. (2x + 1)/2 + C a. 3. b. (2x + 1)/2+ C c. (2x + 1)/2 + C d. (2x + 1)/2 + C

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Q: To find the distance across a river, a surveyor choose points A and B, which are 232 m apart on one…

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Q: Find the absolute extrema of the function on the closed interval. h(s) = [0, 2] S-3 minimum (s, h) =…

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Q: Step 1 In pert (a), it was found that the two planes were 200 miles apart and getting closer at the…

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Q: Find the Maclaurin series for the function. f(x) = 3 sin 2x 00 21 (Type an expression using n and x…

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Q: In 4x 5. S dx

A: The integration of the integral is ln(4x)/x.

Q: Find f'(1) if Aæ) = (x² –-x²-x+1)(x² + 1). 1 O 2 O -3

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Q: What is the particular solution of the equation 2ydx - 3xdy = 0 when y=1 and x=1?

A: Solving the differential equation by seperation of variables.

Q: |Find the average distance from the origin over all the points in the unit circular disk 2² +y? <1.…

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Q: Differentiate Derivative of outer function  Derivative of inner function Differentiation  1. y = sin…

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Q: : / yº sech(e™mv) tanh (» ) dy 7lny Evaluate: @ -ch(7) + C None

A: Given problem:- ∫ y6 sech(e7ln(y)) tanh(e7ln(y)) dy

Q: Appraximate the critical numbers of the function shown in the graph. Determine whether the function…

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Q: pln e" sec? e" dx In 플 Find (a).

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Q: Q3) Evaluate triple integral , dz dx dy.

A: We can calculate this as follows:

Q: t (s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 5.7 9.2 15.5 17.5 19.8 20.2

A: The given data is: t(s) 0 0.5 1.0 1.5 2.0 2.5 3.0 v (ft/s) 0 5.7 9.2 15.5 17.5 19.8 20.2 To…

Q: A window is in the shape of a rectangle surrounded by a semicircle. If the perimeter of the window…

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Q: Find f"(2) if Ax) %3D x² - 3* 08 O -7 4 O 2

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Q: The radius of a spherical balloon is increasing at the rate of 2 cm per minute. How fast is the…

A: Let r be the radius of spherical ballon

Q: Ssei'x C tan'x t1) dx 3. X.

A: According to Bartleby guidelines I can only answer the first question of the given two. please…

Q: Question Using Rolle's theorem for the following function, find all values c in the given interval…

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Q: A. LINEAR EQUATIONS WITH CONSTANT COEFFICIENTS 5. (2D* – 3D3 - 2D²)y = 0

A: According to Bartleby guidelines I can only answer the first question of the given two questions.…

Q: Evaluate: / sech[in cosr Janx dx A -2 tan-1(e cosx) +c cOsx B) None 2 tan -(e cOx) + C COSA D - 2…

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Q: а. Consider the functions y = 2u² + 3u and u = x². Find dx b. Find the derivative of the function…

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Q: Verify that the function c(x + y) = xe the differential equation (x? +y dx +(x² – xy dy = 0 . e% is…

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Q: Consider the tollowing Maclaurin series: (-1)"x²n (2n)! CoS X = for all x E R. 1. Let f(x) =…

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Q: Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: Question Using Rolle's theorem for the following function, find all values c in the given interval…

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Q: Evaluate fs 2°ds O a. 2*(sln2 - 1) (In2)2 O b. 2(słn2 - 1) (In2)2 O C. 25 - 1) In2 O d. 2° (+ 1) +1)…

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