lim       sin(π+h)- sinπ                                      h→0     —------------                                                          h

Q: Compute the indefinite integral of the following function. r(t) = te'i +t² cos t³j 3 4t 4 k Select…

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Q: The answer is wrong

A: The given curves equation is

Q: 2. Σ. 1 (-5) 2n n2gn

A: The given series is The Root test If L<1 then series is absolutely convergent If L>1 then…

Q: Let h(u) = (u +3) (u - 4) Determine the most general antiderivative of h. (u +3)(u — 4)du = -

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Q: Fill in the blank Thank you

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Q: Suppose that we're setting up a wireless data network for a small municipality. The local ISP wants…

A: The given cost function is

Q: 3/4 Find the cost function if the marginal cost function is given by C'(x) = x C(x) = +5 and 16…

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Q: A company incurs debt at a rate of D'(t) = 102(t+10) √ ₁²+ + 20t dollars per year, where t is the…

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Q: List the first five terms of the sequence. a1 = 5, 2n + 1 2an +4 а1 а2 аз ад a5

A: To list the first five terms of the following sequence.

Q: = (a) The fourth Taylor polynomial for f(x) = ln (sec(x)) at a co + c₁x + ₂x² + 3x³ + ₁x² where Co =…

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Q: Consider the parametric curve: x Y 4 +² +³4t At which t value(s) is the tangent to this curve…

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Q: Evaluate the integral: 16 √ 2² √² + 64 0x = (A) Which trig substitution is correct for this…

A: We have to evaluate the integral using trigonometric substitution.

Q: A child flies a kite at a height of 40 feet, the wind carrying the kite horizontally away from the…

A: Height of the kite from the ground= 40 feetThe horizontal speed of the kite= 25

Q: Convert the following equation to polar coordinates. x=2y² The polar form of x = 2v² is. (Type an…

A: Given,

Q: Find the integral of the following function by parts So 0 sec²0 de Ja where a = 6.08, b = 7.05 in…

A: The given integral is

Q: Use the formula f'(x) = lim Z-X f(x)=x²-x+4 f'(x) = f(z)-f(x) Z-X to find the derivative of the…

A: we need to find f'(x)

Q: Use implicit differentiation to find the equation of the tangent line to the function defined…

A: The given equation is; 6x2+2x4y5=8Point (-1,1)

Q: Evaluate the integral: O x ○ x = 3 sec (0) 0x = 8 sin(0) (A) Which trig substitution is correct for…

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Q: Suppose f(x) X = -1. Determine and graph four distinct antiderivatives of f. 10 -8 -6 -4 -2 10+ 8 6…

A: The given function is

Q: If f(x) = 15 to dt then f'(x) =

A: Note:-Since you asked multiple questions according to our policy we can answer only first question…

Q: 2 T If f sin (3 x) sin (n x) dx = π, then n = 0 Number

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Q: Use calculus to show that if f(x) = (x − a)²g(x), where both f(x) and g(x) are polynomials, then…

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Q: 5. Use Part one of the fundamental theorem of calculus to find the derivative of the following…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Breathing is cyclic and a full respiratory cycle from the beginning of inhalation (t =0) to the end…

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Q: Find the derivative of h (x) = csc¹ (x) Oh' (x) = -4 csc¹ (x) cot(x) ○ h' (x) = 4 csc¹ (x) cot² (x)…

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Q: Using the graphs of f and g shown below, find the derviative of h(x) = f(x) + g(x) for the domain…

A: The two points on the graph of f(x) on the interval   are:The slope of the line is given by On the…

Q: 7. Apply the test for divergence to each infinite series given below. Then using at least one…

A: Given:To Find: To apply the test for divergence, for each of the given series. Then to explain the…

Q: 8. The largest angle of a triangle has a measure that is 10 degree less than three times the measure…

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Q: Note that: An interior point of the domain of a function f where f' is zero or undefined is a…

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Q: i. x+1 lim X→∞ X-1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Suppose the cost to make a widgets is given by C(x) = 2x² + 4x + 2. Find the marginal cost function…

A: The given cost function

Q: Find the equation for the line tangent to the parametric curve: at the points where t = 4 and t =…

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Q: below. nowing question about the functions whose derivatives are given What are the critical points…

A: Since we are given with multiple number of question answer will be according to the guideline Given…

Q: Find the points on the graph of the polar equation where the tangent line is horizontal or vertical.…

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Q: Solve the following initial value problem. dr dy = x3 / x5, y(0) = 0 y =ㅁ

A: To solve the following initial value problem.

Q: 2. Evaluate the integrals. a. b. C. L (6x - e²) dx [²₁12 +2 (2 + 2y)² dy 7T/4 3 3 sec Ꮎ tan Ꮎ ᏧᎾ

A: .

Q: 12T 4. Evaluate in Cylindrical Coordinates D bounded by z= x² + y² and the plane z = 4 ff zdxdydz

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Q: dy Write the function in the form y=f(u) and u = g(x). Then find dx y = 9 8x 5 U= (Type an…

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Q: Which of the following is an appropriate choice for & when proving the following limit? Assume ɛ > 0…

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Q: Find the demand function for the marginal revenue function. Recall that if no items are sold, the…

A: R'(x)= 0.03x2-0.08x+189

Q: The sales of a new high-tech itern (in thousands) are given by S-104-8003 where t represents time in…

A: The rate of change is equal to derivative of function given.So at first we would differentiate S(t),…

Q: Find y'. y = y'' = 16 tan (4x + 1)

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Q: Let f(t) be the function 2t² + 1t+5. Follow the steps below to use the formal definition of the…

A: Let  be the function .By using the formal definition of the derivative .

Q: Evaluate ∫∫∫E(x+y−3z) dV where E={(x,y,z)∣−4≤y≤0,0≤x≤y,0≤z≤x+y2}

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Q: For the sequence defined by: a1 = 2 an+1 = Find: a2 a3 a4 = 4 an - 3

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Q: Determine the convergence or divergence of the series. (If you need to use co or -co, enter INFINITY…

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Q: Evaluate the given definite integral. 3 [(-8 -4 (-8z - 7)dz =

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Q: Find the following limits: lim (x² – 13) a. X--3 b. lim 8(t-5) (t - 7) t-6 2x+5 lim x-211-x³ c. C.

A: To find the following limits.

Q: 8. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval [0, π/2], are…

A: The given functions are the inner product of two functions f and g on the interval [a, b] is the…

Q: Consider the function f(x) = 3 cos x - 8 sin x. Let F(x) be the antiderivative of f(x) with F(0) =…

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