10. An object has a constant acceleration of -42 ft /s², an initial velocity of 5 ft/s, and an initial position of 9 ft. a. Find the position function for the motion of this object. b. Find the velocity function. C. Find the velocity when the position is 0.

Q: 1. Find the power series expansion for the following functions and find its interval of convergence.…

A: Let's find power series expansion.

Q: Question 4. Continuity Exercise 2.5, Problem 26 a. Show that f has a removable discontinuity at x =…

A: We have to show f has removable discontinuity at x=3 and find the value of c

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A: Let's find surface area rotated about x=0.

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Q: Solve the integral shown below. So cos¹¹ 3xdx Só 11

A: ∫0π6cos113xdxLet u=3x.=∫0π2cos11u13du=13·∫0π2cos11udu=13·∫0π21-sin2u5cosuduLet…

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A: Topic:- algebra  Note :- as per our guideline if more than one question uploaded than only one…

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A: Given

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A:

Q: 1 Consider the function f (x) = on the interval X - 1, 1]. If the Mean Value Theorem can be applied…

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Q: Q2: write and prove an Approximation property for the Supremum.

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Q: 2x³4 Q1 Investigate the limiting behavior of_f(x,y)=- x4+y² as (x,y) approaches (0,0)

A: Along x=0 f→0y2=0

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Q: 2 sin6 x cos⁹ x dx 0

A: See the details solution in below

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A: let  x, y, z  be the non zero  vector that is orthogonal to   u, v and w

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A:

Q: f(x)=x2-3,P(4,13) a.find mtan b. Determine an equation of the tangent line at P. c. Plot the graph…

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Q: (5x-5)dx 3x² - 8x - 3

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Q: 1. Find the equation of the tangent line to f(x) = (x-1)² 3 (x+1) when x = 2.

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Q: -) Consider the sequence 1, - Determine tg- 128 2187 64 b) 79 33-80 27' 128 2187 64 79

A: Above question is solved.

Q: 13. Algebraically determine the values of that satisfy the equation 2 cos²0+ cos 0-1=0, where 0…

A: First I have let x=costheta And then reduce the trigonometrical equation into algebraic equation and…

Q: 4x² + 4y2 +422-8x + 16y=1 presents a sphere, and find its center and radius.

A:

Q: 5. Let f be a function continuous on R and F(x) = af f(t)dt. Then F"(0) is equal to 0 0 O f(0) ○…

A: Let f be a function continuous on R and Fx=x∫0xft dt. Then to determine the expression for F''0.

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Q: Find the difference of place value of 5 in the number 2,53,459??

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Q: Critical Points: Determine the Critical points and its classification. Determine a, b, c and d so…

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Q: 7. Given a = (0, 1, 3), b = (4, 5, 6), then a · b = a. 1 b. 24 8. Given a = (0, 1, 3), b = (4, 5,…

A: Let's solve. Two vector a and B are given.

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A:

Q: find maximum and minimum of f(x)= 3x2+15x2-36x+10

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Q: 00 01 O-1 02 y+0 none of the choices

A: We will solve the problem.

Q: Find the upper Riemann sum U(ƒ,P) and the lower Riemann sum L(f, P) for each of the following…

A: Given :P :=0<14<12<1 be a partition of 0,1f(x)=1+x,0≤x<191-x,19≤x<141+x314≤x≤1

Q: 4) A tank contains 100 gallons of pure water. A brine solution with 1kg/gal of salt enters at…

A: Let's find amount of salt in the tank after 45 minutes.

Q: on the set of rational numbers as a b = ab D. Com

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Q: Find the vector product (a*b) of the * two given vectors a= 2i+3j+4k, b=3i+5j, here i,j&k are unit…

A:

Q: Calculate √√3 8 2 1/√3 1 + x² dx

A: Given ∫13381+x2 dxTo evaluate the integral:

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A: The function satisfies the condition,The domain of fx is -∞,∞f'x=5x2x2-3f''x=10x2x2-3f0=0

Q: Q2. If f(x, y) = xy² + y²cosy + xsiny then a) y² - siny c) 2y + cosy a²f is дудх b) y² + cosy d) 2y…

A:

Q: 1. A man 6ft tall is walking toward a building at the rate of 5ft/sec. If there is a light on the…

A: Concept: The similarity of triangles: Two triangles are said to be similar when they are of the same…

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Q: Determine the area to the left of x = 3- y² and to the right of x = -1

A: See the details solution in below

Q: a. [CO²2 2 cos²x√4 tan x tan² x da

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Q: Find the Volume: Rotate the region bounded by y = √x, y = 3 and the y-axis about the y-axis

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Q: Q1 (a) Interchange the order and evaluate the integration a+c 2x fa* ft* xy² dydx 0 a-2 c-6

A:

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Q: Prove that sin²x x cos²x = csc²a-cot²x 4c8c²2x

A:

Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

A: Cylindrical shell Method : Let g(y) be a continuous function and non negative .Define Q be the…

Q: Use the power series expansion of ƒ(x) = 1 x)²· 1- x for x < 1 to find a power series ex

A: Remember power series expansion for f(x)=11-x; x&lt;1 is  f(x)=11-x=∑k=0∞xk

Q: Let 7(t) = Find 7' (t) T' (t) =<

A: Given, r(t)=&lt;5t4-5,-e2t,-3sin(3t)&gt;

Q: b. √x+√9-5x²dx

A: Topic:- integration