Find the values of x for which the series converges. (Enter your answer using interval notation.) 00 n=1 (X + 8) Find the sum of the series for those values of x.

Q: 1).Use the direction field below from the differential equation y' = −4y to sketch the graph of the…

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Q: If the line r = (2-t, -2 + 13t, 8t) is the normal tangent line to the level surface axyz²by² = -14…

A: answer is in next step . please give a like !!

Q: Part A: If h(x) = f(x) + g(x), solve for h(x) in sin

A: topic:- calculus

Q: I For the area bounded by the given curves: area in the first quadrant bounded by y= cos x, x=0, y=0…

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Q: Evaluate the line integral, where C is the given curve. (Round your answer to one decimal place.)…

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Q: Consider the following. 2x²-3x - 5 lim X→-1 x + 1 Find the limit of the function (if it exists). (If…

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Q: 0.5 0.5 sinxy dx dy, using the Ax = Ay = 0.25 0 1+xy H.w2: evaluate f

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Q: i) Find the exact length of the curve 1 + 15 4x3 y = y = ii) Find the exact area of the surface…

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Q: Find the difference quotient, O a) 3 Ob) 3+h O c) 3h O d) 3h-4 h f(a+h)-f(a) h , for f(x) = 3x - 2.

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Q: solve the differential equation    y √(1+x^1)  dx + x √(1+y^2) dy=0

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Q: Find f'(x). f(x) = (7x + 3) (1 - √x) ○ f'(x) = 7(7x+3)6 O f'(x) = 49(7x+3)6 (1 - √x)6- O f'(x) = 1…

A: This question is related to differentiation, We will solve it using given information.

Q: dy Find - for y = du dy du = = [19+ √9 +10t2 dt. 0

A: given y=∫0u9+10t2dtTo find: dydu

Q: Find the limits. f(x) = x + 2 (a) (b) (c) lim X-15 g(x) = x² f(x) = -3 lim g(x) = 0 X40 X--5…

A: Solve the given

Q: 3).   Draw the directional field for the differential equation. y' = 3y + xy

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Q: Determine whether the following statement is true or false. — [√³] = √f'(x). dx If y = f(x), then

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Q: 1²) Given x = y² +y+l from 0≤ y ≤z +x+| the are length of the given curve over the interval is a.…

A: The given function is: f(Y)=Y2+Y+1 f'(Y)=2Y+1 The formula for the arc length on [a, b] is…

Q: 2. Find the derivative for each of the following, be sure to use proper notation and simplify when…

A: The given functions are, a) y=14t5b) m=6nc) y=x34-5x2+300 Note:    Multiple parts are given, we are…

Q: 11. (a) Find F'(x) using the limit definition of the derivative if F(x) = F'(x) will result in zero…

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Q: (A) C B) a (A) a B d с dx ex√4-e²x the integrand is transformed into? (a) cos²0 (c)-sin²0 (b)-sec²0…

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Q: (a) Find the equation of the tangent line to the curve y = x² at x = 1. (b) The line in part (a) is…

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Q: Bookmarks Profiles Tab Window Help a Your Orders X nar21 written assignment 4_MAT-23 X +…

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Q: Find the component form of u + v given the lengths of u and V and the angles that u and v make with…

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Q: Evaluate the double integral 1 2x+1 LL.** Select one: | None of them 113 x² dy dx

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Q: Find the total area of the shaded region. Ay 2 y = 3 y = 3 sin ² x X The total area of the shaded…

A: The area between the curves y=3sin2x and y=3 on interval π2, 3π2

Q: 8. Analyze the graphs of f', then list all intervals where f is increasing or decreasing. f'(x), 1-…

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Q: The estimated marginal profit associated with producing x widgets is given by P'(x) = -0.6x + 24…

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Q: The graph of the rational function f(x) is shown below. Using the graph, determine which of the…

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Q: Current Attempt in Progress Find values of x, if any, at which the given function is not continuous.…

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Q: a) Sketch the region of integration and evaluate the double integral 8 [L, -6 10 -2 y + xy² dx dy b)…

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Q: 3 aluate the indefinite integral by using the substitution u = x + x° to reduce integral to standard…

A: Please refer to the image below

Q: (Question 8, 9, 10, 11, 20 pts) For the following exercises, find /(x) for each function. Use th…

A: As per the guidelines, we will be answering the first question. As per the instruction in the…

Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1,1) in the direction of from the…

A: We have to find the directional derivative.

Q: 1. Use the delta method, 2 BONUS MARKS y = 5x² dy dx = lim h-0 f(x+h)-f(x) h to find dx for the…

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Q: K Solve the triangle. a = 6, c = 5, B = 54° b= (Do not round until the final answer. Then round to…

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Q: x³ Evaluate S- -dx x + 2 In/x* +2+c 4 O In x4 +21+ C 00 (x² + 2)² +C 2 O undefined

A: The given integral is: I=∫x3x4+2dx     ...1   As we know the common integral. ∫1ax+bdx=1alnax+b+C

Q: 2. Set up a double integral using polar cor r=4sin 30. Do not evaluate. nates that will yield the…

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Q: (X) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, nd…

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Q: Find the gradient of the function at the w = x tan(y + 2), (10, 8, -3 Vw(10, 8, -3) =

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Q: Specify the substitution you would choose to evaluate the integrals. √ √4-2t dt Ou=t Ou = 4-2t O u =…

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Q: O a. La función no tiene punto de inflexión. b.x = 1 & X = - 1 O.c.x = 1 d.x = - 1

A: We can find the inflection point as below.

Q: The integeral costat is used in the analysis of beam displacements (and in optics). Evaluate this…

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Q: 5. Determine where the local and absolute maxima and minima occur on the graph given.Assume the…

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Q: The elimination method was used to solve the following system of equations: x²-y=-4 x² + y² = 18…

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Q: 5 ['s (Use symbolic notation and fractions where needed.) Calculate the integral, assuming that 5…

A: The objective is to find the integral.

Q: Find the horizontal and vertical asymptotic for f(x)= 1/(1-x^2)

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Q: 1)Determine the equation of the tangent line to the intersection of the surfaces x²-y=0 and y+z²=16…

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Q: Consider the following. u = 7i + 9j v = -3i + j + 8k Find u x v. Determine if u x v is orthogonal to…

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Q: 3 C≈ (Do not round until the final answer. Then round to the nearest tenth as needed.) A≈ (Do not…

A: Topic:- trigonometry

Q: Find the average rate of change of the function f(x)=8-3x between x = -4 and x = 1. Type an exact…

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Q: exist. (i) (ii) Find the limit if it exists, or show that it does not lim (x,y) →(1,-2) y² + 2xy +…

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