Find the sum of the infinite geometric series with first term 6 and common ratio 8 S (Round to two decimal places as needed.)

Q: 3x2+14x+13 x+4

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Q: plapii the function f(t) = 6t(h(t – 1) – h(t – 6)) for 0<t<o. Use your graph to write this function…

A: Heavyside function

Q: g(x) f(x) - sin(2²) dt, find f(x). = J

A: To Find: f'(x)

Q: Find the second derivative (y") of the given function: 6. y 2-e -6e* +12e-e" (2-e*)" 6e* (2+e*)…

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Q: Find the derivative of the function: y = In e+2*+1 Oy = x"[(2x(ln x + 1) + 1] y = x*(2 + x + x² In…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: Find div F and curl F if F(x, y, z) = xz°i+ 5ytx²j+4z² div F= curl F=

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Q: ||r'(t) x r"(t)|| Use the formula k(t) to find k(t). ||r(t)|* 13 r(t) = t’i + t°j K(t) =

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Q: Find div F and curl F if F(x, y, z) = 13y'2*i – 11x°z®j – 7xy°k. %3D div F= 0 curl F=|(-35 z y³ + 99…

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Q: A forest has a population of cougars and a population of rabbits. Let æ represent the number of…

A: We will solve the given differential equations with condition

Q: Evaluate the line integral (8x + 7y)dx + (2x - 7y)dy along the curve C: a = 8 cos t, y = 16 sin t (0…

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Q: 2. A turns 100 RPM and B 150 RPM as shown; they are connected by rolling cones. Calculate the cone…

A: Solution: wa = 100 rpm wb = 150 rpm

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Q: Given the function + y-4, find y'. Oy = Oy =

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Q: Consider f(x) = (5x + 11)2022, find: i. f'(x) ii. f"(x) iii. f''(x)

A: Given Data: f(x)=5x+112022 Formula used: dax+bndx=nax+bn-1dax+bdx dxndx=nxn-1

Q: 3 Evaluate the following indefinite integral: 1.) f 10ma dx

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Q: Find V· (V × F), if F(x, y, z) = 3ei+ 4.xe®j – 2ev²k. V·(V × F) =

A: We need to find dot product.

Q: S Vcos 20 sin 20 do

A: To evaluate the following integral.∫cos2θ sin2θ dθ

Q: Find div F and curl F if F(x, y, z) = 4y³z'i – 11a"z°j – 4xy°k. - -

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Q: Calculus Question

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Q: Find div F and curl F if F(x, y, z) = 11y"2°i – 17x"z1ºj – 6xy°k. - div F= curl F=

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Q: Find the amplitude, the period in radians, the phase shift in radians, and the vertical shift. Then…

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Q: Find the sum of the first 21 positive integers. The sum of the first 21 positive integers is

A: We will use the concepts of A.P.

Q: Find curl (5z i + 6x j + 9y k). curl(5z i + 6x j + 9y k) = ( i )i + ( i )j + ( i )k

A: Given: To obtain the curl (5z i+6x j+9y k)That is to find: ∇×Fwhere here F=5z i+6x j+9y k

Q: Find V (V x F), if F(r, y, z) = 7e""i + 2xe"j- 3e""k.

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Q: 3. Differentiate. SET A. y = 3 cos(5x2 + 2)

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Q: Find the Maclaurin series for f(r) using the definition of a Maclaurin series. [Assume that has a…

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Q: Sketch the region whose area is given by the definite integral. 8. x dx

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Q: [x+1

A: The objective of the question is evaluate the indefinite integral.     Note -  As per our guidelines…

Q: For the given function find dy/dx. x- y' | = x + 2 y+ x2 1- x-3y-4x 3x2 + y + 2 y' 1- x + 3y - 4x y…

A: x-y3y+x2=x+2

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A: As per bartleby guidelines we only give first question answers.

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Q: 1 Find the area onclosed by the Curve r=4-3 sin 0.

A: Area

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Sh dx

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: 1. (Section 8.1) In surveying, it is often necessary to determine the height of an inaccessible…

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Q: III. Do as indicated showing the details of your work. Show your complete solution on the space…

A: A detailed solution is given below.

Q: Question 2 Differentiate the following function without simplifying y = arc sec(sec(02)) You may use…

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Q: 5. Differentiate with respect to x: SET A. 5e

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Q: Find V (V × F), if F(r, y, z) = 7e"i+6xe"j – 2ev²k. V· (V × F) =|0

A: We have to find ∇.∇×F→

Q: Use the formula k(t) |r(t) × r"(t)|| x r" (t)|| to find «(t). ||r(t)||° r(t) = ti+ t5j «(t)

A: To find k(t).

Q: y = 9 - t

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Q: When the eigenvalues of a b A = 0 d are 2, = 0 and 2, = 2, what are the possible values of a and d?…

A: When the eigen values of A=ab0dare λ1=0, and λ2=2, then to determine the possible values of a and d.…

Q: x+dx Using trigonometric substitution, - (1+x²) = tan odo A sece sin*Ðd0 cose sec 8d0 tan 20 D None…

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Q: In 1 decimal place Find the Surface Area generated by rotating the first quadrant portion of the…

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Q: 2.) S- e2x dx ex – 5

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Q: Two positive numbers have a sum of 87. What is the maximum product of one number times the square of…

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Q: Graph in radians please

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Q: For the function f(X) = VX+1, find the Taylor series generated by f at x = 0. Choose the correct…

A: Here, using the binomial expansion: x+1=∑n=0∞12n xn...(1)

Q: 3. y = In? (csc2x). Find y"

A: y=ln2(csc2x)