4e-1dx = 7.96 × 10° O True O False

Q: Assume the acceleration of the object is att)--9.8 meters per second. (Neçlect air resistance.) With…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Determine whether the sequence converges or diverges. If it converges, find the limit.

Q: (a) Consider A B + X-1 7x2 - 17x + 38 C (x + 6)(x – 1)²- x+6 (x – 1)² (i) Use partial fractions to…

A: (7x2-17x+38)/[(x+6)(x-1) 2]=A/(x+6) +B/(x-1) +C/(x-1) 2

Q: Determine the indefinite integral 6.xV-5]7 dx by substitution. (It is recommended that you check…

A: We have to solve  ∫6·x3·x43-57 dx.

Q: Evaluate the indefinite integral. 9x xp- x² – 4

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Q: The perimeter of an isosceles triangle is 38 m. Find the length of the sides of the triangle of…

A: Let's find.

Q: Sketch the graph of the following equation 2x + 6y + 3z = 12

A: To sketch the graph of given equation

Q: Evaluate the following limits if they exicts, show complete solution.

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Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: We can solve this as follows:

Q: A ball is thrown vertically upward from a point 112 ft above the ground with an initial velocity of…

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Q: Use the Divergence Theorem to evaluate F.N ds and find the outward flux of F through the surface of…

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Q: sin x dx (2 + 3 cos x)2

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Q: sec 3xtan3x dx

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Q: Use the acidity model pH = -log[H*], where acidity (pH) is a measure of the hydrogen ion…

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Q: The function f(x) = 4 + 6x + 54x has one local minimum and one local maximum. This function has a…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decinal places when…

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Q: b)Let f(x)= 2(x-4)(x+1)/(x-1)(x-3) 1.find all the intercepts 2.Calculate and write the equations of…

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Q: 6x4 - x³ - 11x2 +9x-2 3 2х-1

A: We have to find out division

Q: (a) Set up, but do not evaluate, a double integral for the area of the surface S with parametric…

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Q: (2y3 – x³)dx + 3xy?dy = 0; when x = 1, y = 1 Ans. 5x²y3 = x5 + 4

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Q: ind the indefinite integral and check the result by differentiation. ep 1 Expand the integrand (5t-…

A: Given query is to find the value of the integral.

Q: 7. Find the absolute maximum and absolt f(z) = 2x – 31²/3 on the interval -1,2). %3D

A: We have to find out maximum and minimum

Q: Find the area of the region enclosed by y = 5x and x = 6.5 - y. 2- 3 4 5 6 Use horizontal strips to…

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Q: sin x Evaluate: / dx (cos x) 3 1. tan x- sin x + c an'x + C X, sin'x + C X. 3. 2 4. log (cos2x) +c…

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Q: Let u(æ) = sin(x) and v() = a = 18 and f(x) (*)a u (2) -| v (2) = u'v – uv f'

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Q: Siven that y = f(x) passes through (2, 1) and f'(x) = 3x² - 5x, find f(x). %3D

A: Given query is to find the function

Q: 5. A 6-ft man walks away from a 15-ft lamppost at a speed of 3 ft/s. Find the rate at which his…

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Q: 21. (x + y) dx + tan x dy = 0 %3D

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Q: Evaluate the integral (Partial Fraction Decomposition) xdx (x² + 2)(x² + 1)²

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Q: Set up the definite integral required to find the area of the region between the graph of y = 18 – a…

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Q: 5. Determine the values of x for which the function is continuous. x + 5 x² – 5x + 4 3x +1 2x2 – 8x…

A: a. fx=x+5x2-5x+4b. fx=x4-x2c. fx=3x+12x2-8x Note:     Multiple parts are given, we are answer only…

Q: 1 Find Vf(P) and Df(P). (a) f(r,y, z) = y² + 2² – 4x2; U = i – +; P(-2,1,3) %3D |

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Q: 12sin3xcos7x dx

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Q: Solve the differential equation. Show your complete and clean solutions. 2 (x-y) dx + dy = 0

A: The given DE is: 2(x-y)dx+dy=0⇒dydx=-2(x-y)⇒dydx=-2x+2y⇒dydx-2y=-2x...(1)

Q: A company that produces cell phones has a cost function of C = 4x2 – 56x + 8972, where C is the cost…

A: Given query is to find the number of unit to minimize the cost.

Q: Determinant of n x n Matrices. Solve for the determinant of the following matrices using (a)…

A: We are allowed to solve one question at a time. Kindly repost other problem in next question. Thank…

Q: Sketch the following points in space three, A (4,5,3); B (1,7,4) and C (2,4,6). Prove that point A,…

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Q: I sin x O S(z) %3D COS

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find all the values of x such that the given series would converge. (x – 3)" | 3" n=1

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Q: (b) For the case a = 3, b = 4, and for the constant vector field F(x,y,z) = 4 1 + k , find the flux…

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Q: | 3t³ (t² + 4)5dt

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Q: 2. Find and classify all the critical points of f (x,y) = 2x – 9y – xy + x² + 5y².

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Q: Use the Root Test to determine whether the series is convergent or divergent. 1 + n- 4 Identify an…

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Q: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2. if at any point (x, y)…

A: To find the equation of curve

Q: 12) Find the equation of the ellipse that has one focus at (0, -5), and the length of its minor axis…

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Q: Find the derivative of the function. g(t) = e−6/t4

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Q: | -3x cos 4x dx A) - 16 3 cos 48 -x sin 4x + C 3 3 3 B) cos 4x -x sin 3x +C 16 3 cos 4x - 16 3 C) -…

A: To evaluate the given intgral.

Q: Direction: Differentiate each function with respect to x. 1) y=5 2) f(x)= 5x" 3) y=4x +x

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Q: 2. For each of the following functions, find the indicated derivative using the definition. a. f (x)…

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Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to…

A: We have to find the sum of the given series.