Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or -INFINITY, respective Σ (-1) xn 67 n=0

Q: Describe the graph of the equation. r = (4 - 3t)i - 7tj O It is a plane in 2-space that goes through…

A: Given equationr=(4-3t)i-7tj

Q: 31. (a) |2x - 1| dx (b) 3π/4 1.T CT/2 \cos x dx

A:

Q: 31. (a) 32. (a) 33. (a) 12x-1| dx √2 + x) dx e* - 1| dx L'i lex -3π/4 (b) cos x dx (b) [*/² | } −…

A: Given: ∫-11ex-1dx

Q: ● Let B(x) Let C(x) = = = **f(t)dt. Evaluate B(1). * f(t)dt. Evaluate C(9).

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Q: Find T(t) and N(t) at the given point. π r(t) = 4 cos(t)i + 4 sin(t)j + tk; t = 2 4 1 T(+7) = -√17 Т…

A: given  as you have already found Tangent vector

Q: if it was a bez Prove that لما لها حاطها

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Q: 23. ["Se' dx 5e* 2 24. S/2 ze de dx 2x

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Q: dx3 d²y_dy+y=0 dx² dx

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Q: Given the function C(a) = (x-4) (x + 6) (x - 1) its C-intercept is its x-intercepts are

A: Solution is given below:

Q: 7. f(x) = 3√x; [1,4] 8. f(x) = x-2/3; [1,27]

A: We can solve this as follows:

Q: b. 36. Evaluate f(4x³ - 9x5 + 4x² - 6) dx. a. 32x7-45x + 8x + C 32x7 180x³ 4x9 C. b. 3 +8x + C…

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Q: Question 3. Find the maximum revenue that demand equation is given by q = can be realized by selling…

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Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

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Q: For each of the following integrations, choose the method that can be used to find its solution.…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: d²y 2 dx² dy dx 6y=e²x

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Q: Consider the parallelepiped with adjacent edges Find the volume. V = i 137 u = 8i + 7j + k v = i + j…

A: Directly use the formula for the volume of parallelepiped.

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim (x-3) tan(9-x²)…

A: Formulas of limits which have been used are written in the solution

Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 3. lim (x-3) tan(9-x²)…

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Q: 60. (a) dx SI dt 1 + √t (b) de fint di dt

A: We can solve this as follows:

Q: Find the differential dy of the given function. sec² x y x² + 2 sec 2x (2x²tan x + 4 tan x-2x)…

A: This question is based on quotient rule

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

A: domain means value of x which we can put in equation here is in root value cant be less than 0 t -…

Q: u be a differentiable function of du (a) (er) dr d du (b) = (6") = b. Inb dr dr 1 du (c) (In u) dx u…

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Q: Definite Integral and Plane Areas of integration (snow solution) 3 1. dx Sö = 2 1+x 4 dx 2. Sh 25-x2…

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Q: y"+9y=2e³x

A: Given; y''+9y=2e3x So, we can also write as; D2+9y=2e3x So, the auxiliary equation is; m2+9=0

Q: Find tan (θ) given that sin (θ) = 1/3 and θ is in quadrant II.

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Q: 4d³y-13 +6y=0 dy dx3 dx

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Q: Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of…

A: Given problem:-

Q: Find the curvature K of the curve, where s is the arc length parameter. M(²) = (₁ + √2/2 =) ₁ - (₁ -…

A: we have to find curvature.

Q: Determine the minimum cost of a retailer of motorized bicycles whose cost function is C(q) = 4860/q+…

A: Here the given cost function is: C(q)=4860q+15q+750000

Q: Do as indicated. 1 1. Let f(x) = Find the equation of the tangent line to the graph of f'(r) at the…

A: Given  function f(x)=1x2+1 we want find the equation of tangent at the point where  x=1

Q: 7. Do as indicated. 1 1. Let f(x)= = Find the equation of the tangent line to the graph of f'(x) at…

A: This question is related to straight lines, we will solve it using given information.

Q: 1. The following integration can be solved by using the Substitution f 14 dx = ♦ (Choose the correct…

A: use a different techniques to solve this problem.

Q: d Calculater₁(t) · r₂(t)] and [r₁(t) × r2(t)] first by differentiating dt the product directly and…

A: r1(t)=cos(t)i+sin(t)j+5tk,r2(t)=4i+tk,r1(t).r2(t)=(cos(t)i+sin(t)j+5tk)(4i+tk)r1(t).r2(t)=4cos(t)+5t…

Q: Replace the polar equation r. sin (0+ 1 (0+²) = 2 to Cartesian equation

A: See the details solution in below

Q: Use differentials and the graph off to approximate the following. (Round your answers to three…

A:

Q: Find the length s of the circular arc. (Assume r = 5 and ? = 130°.)

A: s =r*θ θ in radian s = 5*130π/180 s =11.34

Q: log: (x+3) 2-1-1-cosh(cos-¹x) 4. lim

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Q: B f(x)da as positive, negative or zero? Note two vertical lines indicate a Is Area = and B. Select a…

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Q: What are the first 5 terms of the sequence a₁ = 5₂ a = 2n-a n-1, where

A: We have to apply simple mathematics logic to solve the problem

Q: Describe the long run behavior of f(p) = (p+ 2)(p+ 4) (p + 5): As p →→ ∞, f(p) → ? ✓ As poo, f(p) →…

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Q: π/4 x² dx (x²+4)5/2 ST/4 (Use trigonometric substitution)

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Q: 59-62 Use Part 2 of the Fundamental Theorem of Calculus to find the derivatives. d evi dt sin sin…

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Q: III. Suppose that a function f(x) satisfies the following properties, together with the table of…

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Q: Evaluate the integral √(4 by making the appropriate substitution: u √ (432² dx [ X (4x² + 11) 7 = X…

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Q: Find all Max., Min., Saddle point for the functions below: P(x) = 2xy-5x²-29² + 4x +49-4

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Q: Determine whether the equation is exact. If it is exact, find the solution. 3 2exycosy + = C 21² 3…

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Q: Find dy/dx

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Q: lim 1-3 (r-3) tan(9-x²) sin²(2x - 6)

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Q: . Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 4 4. lim loga (x+3)…

A: limx→1-log12(x+3)1-cosh(cos-1x)=limx→1- log2-1(x+3)1-cosh(cos-1x)since, limx→af(x). g(x)=limx→a f(x)…

Q: y = tan-¹ (cosh x) (sin²x) (sech x) secz (use logarithm

A: We have to find dx/dy