Find the soIltion to the following equations: %3D iv)6=多はら

Q: (g) Graph the position, velocity, and acceleration functions for the first 8 s. y y 40 40 a 20 20 4 ...

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Q: (ev+1)² eY dx + (e* + 1)3 e* dy = 0

A: we have given(ey+1)2e-y dx +(ex+1)3e-x dy= 0

Q: Calculus Question

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Q: 2 f (x) g (æ) g' (x) 2 -1 1 3 -2 Let f be the function given by f (x) = | (i g(t) dt, where g is a d...

A: Let's find. 

Q: By using the graph of function y= sinx, which is below, graph one 2(x+). = sin period of function y ...

A: This question is based on Sinusoidal function.

Q: 5. lim f(x) = +0, lim f(x) = 0 6. lim f(x) = +∞, lim f(x) = 0 X-1- and f(-1) = 0 and f(-1) = -1

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Q: dy/dx = şeç 2xsec3y seç 2xşeç'y

A: NOTE: Refresh your page if you can't see any equations. . take integration 

Q: b)Consider the graph of y = (2x − x^2)^1/2 on the interval 0 ≤ x ≤ 2. Compute         the area of th...

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Q: Vx2+4-2 lim x2

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 19. State the limit definition of the derivative and use it to compute the following derivatives: d....

A: Find your answer below 

Q: A function and its graph are given. Use the second derivative to determine each of the following. Ch...

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Q: tan x lim x→(T/2)- 2.

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Q: S, x(x + 5)dx

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Q: 49= %3D mg?

A: We will use the fact that  1g=1000 mg.

Q: Verify: cos? x tan? x-1 1. = -1 %3D cos2 x

A: To verify: cos2xtan2x-1cos2x=-1

Q: Find the centroid of the region bounded by the given curves. y = x2,      x = y2

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Q: A dice is thrown What is the probability of getting 1- Get number 1 2- Get the number 4 3- Get an ev...

A: A dice is thrown. We have to find the probability of getting: the number 1 the number 4 an even num...

Q: 16. Use Implicit Differentiation to find an expression for dy/dx given r*y² + cos(y) = 1. %3D

A: Given: x3y2+cosy=1   We know that; The Sum rule: f±g'=f'±g' The Product rule: f·g'=f'·g+f·g' The Pow...

Q: 6x + 2x+1 lim is equal to бх? - Зх + 4 А. О В. 1 C. 2 D. 3

A: This question is related to limits, we will solve it using given information. 

Q: - particle's position for t > 0 is given by s (t) = 2t³ + 2t² – 5t +2. What s the acceleration at t ...

A: Given query is to find the acceleration ate t= 1.

Q: 5. (4x'y — 15х2 — у)dx +(x* +3у?- х)dy-0

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Q: dæ Evaluate (16 + a2)

A: sec2x -tan2x=1 cos(2x) = 2cos2(x) -1 sin(2x)=2 sin(x) cos(x) ∫cosax dx =1asin(ax)+C

Q: A pump allows water to flow into a pool at the rate of r (t) = 2t liters per minute, where t is the ...

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Q: Challenge Problem I a function / is inereasing on the intervals 3,31 and 11, 19 and decreasing on th...

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Q: Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and p...

A: To find a parabola with equation.

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 100e-x² - 3y2 - 9z2 where T is measure...

A: Please follow step 2 & 3 . 

Q: Find the points on the curve y = 2x3 + 3x2 – 12x + 3 where the tangent line is horizontal. (х, у) %3...

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Q: 4x2+4x-24 Given f(x) = x*-2x3-9x2+18x a.) Find the vertical asymptotes of f and use limits to descri...

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Q: (x2 - 1) dy = ((1 + x)? - 2y) dx %3!

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the derivative of the given function.

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Q: In the previous Problem Set question, we started looking at the position function s (t), the positio...

A: Solution ) s ( t )  = e 7t sin(2t) Velocity function v(t) = s'(t) [ we use product rule  {F(x) , g(x...

Q: The cost, in dollars, of producing x units of a certain item is given by C (x) = 15x - 4VE – 9. Find...

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Q: Differentiate y = (x² + 7x – 1)(5x + 2)

A: We have to differentiate y with respect to y

Q: 1.0 8

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Q: Find f(x) from Sat principles, given that flx) is! ら) c)

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Q: хуdx — (2x? + у?)dy — 0

A: Follow the procedure given below.

Q: Using integrating factor, solve  dy/dx - 3y = 6

A: To find the solution of the differential equation.

Q: Find the root of the equation x2 - 4 Inx use x, =1.000 Solve by simple iterative method.?

A: We have to find root of given equation.

Q: Consider the function the following rational function 10 18 16 -8 -6 -2

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Q: dz du Evaluate the integral Jo 5 the concept J + c. 2zv9z2-4 using uvu?-a? arcsec a a

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Q: Problem 5.1 List all the elements of Un for n E {2,3, 4, ..., 12}.

A: Un is a group in which all elements are relatively prime to n and less than n

Q: The antiderivative of a given function is unique. true or false

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Q: Find the centroid of the region bounded by the given curves. y = 2 - x2,      y = x

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Q: f'(t) = sin tf (t).

A: Given that: f'(t)=sin t f(t)...(1)

Q: dy for 4xy- 4x+2y - 86, with the conditions dx Assume x and y are functions of t. Evaluate = - 6, x ...

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Q: Find the indicated trigonometric value in the specified quadrant. Function Quadrant Trigonometric Va...

A: Given query is to find the value of sin function.

Q: se the Chain Rule to find the indicated partial derivatives. z = x4 + x2y,    x = s + 2t − u,    y ...

A: The given function is: z=x4+x2y,       x=s+2t-u,       y=stu2

Q: dQ where Q = V3x“ + dt + 3y² Use the Chain Rule to find +z", x= sin t, y= cos t, and z= sin t. dQ %3...

A: Given query is to find derivative using chain rule.

Q: (3y²-x 0 ;when x = 1, y = 1 2y4

A: This is homogeneous Differential equation 

Q: Find the derivative of the function y = 8t' – 8/t + y (t) =

A: Given that, The function is following, y = 8t7 - 8t + 5t We have to find the drivative of the given ...