sec ~dx 3 In sec - + tan- +C 3 3 3 A True B False

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Q: The function f(x) = 2a – 392? + 240x – 4 has two critical numbers. The smaller one is x = and the la...

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Q: 3 Find lim s-2- \s-2 s²–4/

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Q: Evaluate: / 3'/ | 3° +4dy A 3' +4) : In27 +C A 2 (3+4) +C B.

A: Integration

Q: I and late the integral and deter ergence of (problem in pict M/4 sec²x a. 1-tan x

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Q: -4 The number of tangents to the curve of y=- x³ + 6x? which have a slope of 8 is:

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Q: It is given that (e7z 12) = 7e*12. Then, by the Fundamental Theorem of Calculus, we have 7x+2 dr 7e+...

A: Let's find. 

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Q: Find: Jy (完)。 (2) X. dz W=X+y - そ + Sin Z

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Q: Determne whether the hamit exitis or not when a)x3 and b) x→ -3 x²-9 when x< -3 F(x)= 9-x² when -3< ...

A: Limit exists if, LHL = RHL Limit does not exist if, LHL≠RHL

Q: Evaluate: 3 +4dy

A: ∫ 3y3y+4dy  

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Q: The estimated revenues r (in millions of dollars) from sales of in-vehicle technologies in a certain...

A: Given that, The revenue function is following, r = 157.49t2 − 395.5t + 6129,            3 ≤ t ≤ 8 We...

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Q: The integral dx is Select one: O None. o o o

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Q: lirectly using the calculator, compute the zero- through fourth-order approximation of v7. For each ...

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Q: f(−4) = −7,     f(1) = 4 (a) Write the linear function f that has the given function values. f(x) =

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Q: An inverted conical water tank with a height of 6 ft and a radius of 3 ft is drained through a hole ...

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Q: Let f be continuous and have an inverse. Write F as the antiderivative of f, i.e., F(x) S ƒ (x)dx. U...

A: A detailed solution is given below

Q: Find the shortest distance from the point (2,0,–3) to the plane x +y + z = 1.

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Q: Evaluate the integral by first performing long division on the integrand and then writing the proper...

A: Given problem:- Evaluate the integral by first performing long division on the integrand and then wr...

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min....

A: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min....

Q: Calculate the Taylor polynomials T2(æ) and T3(x) centered at a = 2 for f(x) = : T2(x) must be of the...

A: Given function is f(x)=11+x and we have to find T2(x),  T3(x) centered at x=2. Taylor polynomial T2(...

Q: Find the amount in the bank after 8 years if interest is compounded quaterly. Find the amount in the...

A: Given; P=4000 r=8% t=8

Q: メク-2x dx メナをメ

A: ∫x3-2xx3+xdx

Q: For the equation, find  dy/dx  evaluated at the given values. y2 = 2x − 13  at  x = 7, y = −1 dy d...

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Q: Determine whether the series converges using any appropriate test. Identify the test for convergence...

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Q: dx 1+ x2/3

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Q: dy x + y ; 4- dx 2xy ls

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Q: During a nine-hour snowstorm, it snows at a rate of 2 inches per hour for the first 4 hours, at a ra...

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Q: Test the series below for convergence using the Ratio Test. 3" п! The limit of the ratio test simpli...

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Q: Use the integration by substitution to find the integral –6x² – 4 dx . (7³ + 2x)²

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check...

A: If integral value is finite then given series is convergent. 

Q: Find the arc length of the curve x = –3y3/2 from y = 0 to y = 10. Length =

A: To find the arc-length if the curve x=-3y32 from y=0 to y=10 Now, the formula for the arc-length is:...

Q: Given a function whose graph is shown below. 3 The function is continuous on[1,3]. Always True 1. O ...

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Q: 24. Maximizing Area A wire 10 cm long is cut into two pieces, one of lengtn other of length 10 - x, ...

A: First of all we need to find the function for total area of squares. Then for minimizing need to fin...

Q: a) The value of the following integral 224 2da is Answer: I b) Find the indefinite integral (2x+3)dr...

A: To evaluate the following integral.a ∫012x4-2 dxb ∫2x+3 dxc ∫0x et dt 

Q: Let s(t) = 6t – 27t² – 180t be the equation of motion for a particle. Find a function for the veloci...

A: We need to find velocity and acceleration function.

Q: Consider the logistic equation in the form P'(t) = CP − P2. Solve the logistic equation for C = 15 a...

A: Question:Consider the logistic equation in the form P'(t) = CP − P2. Solve the logistic equation fo...

Q: Suppose that f(5) = 3, f'(5) = 7, g(5) = -6, and g'(5) = 1. Find the following values.

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Q: Find the differential of the function. et e - 2 dy =

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Q: Write an equation for the line parallel to y : – 3x + 3 and passing through the point (4,-16) y =

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Q: Average speed (mph) Number of laps 0<s < 140 140 < s < 145 20 145 < s < 150 32 150 < s < 155 57 155 ...

A: From given table

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Q: 'ind the average rate of change of h(t) = 3 c on t-3 [1,1+ h]

A: Topic:- calculus

Q: Calculate the iterated integral. '1 I l'x+e-Y) dx dy Need Help? Read It

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Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed fro...

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Q: f(-4) = -7, f(1) = 4 (a) Write the linear function f that has the given function values. f(x) =

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Q: The slope of the secant of the graph of y=2x2 -3 through the points at which x = -2 and x = 1 is 1) ...

A: Given:      y = 2x2 - 3  Points : x = -2 , x = 1

Q: FOr the Pollowing graen of F (X) Fill in mG fablo OGLOW: 8. (1,0) f(X) f'(X) F"CX) Concaviny

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