Use the Ratio Test to determine whether the series is convergent or divergent. (-1)^-1_57 47n3 n = 1 Identify an Evaluate the following limit. an + 1 lim 818 an Since lim an + 1 n18 an ? 1, ---Select---

Q: Find aw/as and ow/ot using the appropriate Chain Rule. Function Values w = y³ - 7x²y x = e³, y = et…

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Q: 16. Write an equation for the transformation of f(x) = |x| shown in the graph below. V

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A: A detailed solution is given below. fx = partial derivative of f(x,y) with respect to x. fxx =…

Q: 8 Find the sum of Σ n=1 A) 1 9n²+3n-2 hint: (partial fractions) 2 B) B)=1/12 (C) / D) = E) 3 4 3 F)…

A: According to question,Given Summation,∑n =1∞ 19n2 + 3n -2

Q: b. Stan ³0 sec²0 do

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Q: Find the arc length of the graph of y == 6 2x on the interval 2 L2

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Q: x² - 2x x3 3x² - - dx -In 1x³ 3x² 1 + C Option 1 Option 3 - -In 1x³ 3x² 1 + C In 1x³ 3x²1+ C Option…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. 157 (n + 1)62n + n =…

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Q: Find dw/dt using the appropriate Chain Rule. Function w = x² + y² x = 4t, y = 5t dw dt || Value t =…

A: Given: w=x2+y2, x=4t, y=5t and t=2.   Apply the Chain Rule; dwdt=∂w∂x·dxdt+∂w∂y·dydt    ...1

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Q: c) x² + xy = 2x² +1. d) = 2² sin(3r) +2. d

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Q: cx²+1 ₂. F(x) = [²² - -H (t³ - t) dx

A: We have to find derivative

Q: Find the indicated limit by using the limits 3f(x, y) lim (x,y) → (a, b) g(x, y) lim (x, y) → (a, b)…

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Q: Solve the initial value problem y(x)= dy da + y cos = 4 cos x, y(0) = 6

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Q: Find the value of Select one: 26 29 1 None of these. 2 f(a+3) (a-3) where f(x)=2*

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Use polar coordinates to find the limit. [Hint: Let x = r cos(8) and y = r sin(8), and note that (x,…

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Q: Find the partial derivative fx for the function f(x,y)=√16x+y³ |f₂(x, y) = O f.(x,y)= f₂(x, y) = 1…

A: We have to find derivative

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A: Follow the procedure given below.

Q: 3. What are the values of A, B, and C so that a. A = -2, B = 3, and C = 4 b. A = 2, B = 3, and C= -4…

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Q: Given cos(x)- 글 " what is the value of cos(x +)? 0 O via - IN I 12

A: Given that cosx=12. We have to find the value of cosx+π.

Q: 5. y = 8x³ - 1 3 4 x 2 - 1 -

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Q: + 2x)² 4x +2

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Q: A turkey is cooked to an internal temperature, I(t), of 180 degrees Fahrenheit, and then is the…

A: Given that , Internal temperature =180°F what is the differential equation to solve for It.

Q: √5-x² LIL -√5 Jo 0 5 I² +2² (x+y) dy dz da

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Q: 3. y = √(1-x²³ √1-22

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Q: Find the derivative of y = Select one: O a. O b. du O C. d. d = O e. (2x-5)cscrcotx-2cotx (2x-5)2…

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Q: Given the initial condition y(0) = 2, what i the particular solution of the equation √x - √ (x² +…

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A: Concept: Partial derivative: In differential geometry and vector calculus, the partial derivative is…

Q: x) = = ph f and T3 on the same screen. y 2+ -1.0 -1.0 -0.5 -0.5 1 -1 -2 -3 y 2+ 2 1 -1 -2 -3 0.5 0.5…

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Q: Evaluate the definite integral. 3 1₁(x-41 4|x) dx

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Q: 7x (x+3)³ a. Find lim F(x). X-3 Let F(x)= b. Find the vertical asymptote of the graph of F(x). c.…

A: F(x)= 7x/(x+3)3  a) find the limit of F(x) when x tends to -3 .  b) find the vertical asymptote of…

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A: Here, the given parametric equation is: x=1-t2, y=2t-t2, -1≤t≤2

Q: Choose the gradient of the function f defined by f(x, y, z)= In[1 + (7xy + 13xz + 17yz)²]. O…

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Q: directional

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Q: Find the derivative. h(x)=2x^3−5x^2 / x+2 You must show

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Q: Which of the following functions has an amplitude of 4 and a phase shift of 4 f (x)=4cos 2x- (2x-4)-…

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Q: The acceleration of a particle is given by a(t) = (2t, 3, et). If the velocity at time t = 0 is…

A: Given: Now, the velocity will be           v(t)=<∫2t, ∫3, ∫et>      =<t2+c1, 3t+c2,…

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A: The solution is given below

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Q: 3. Evaluate the definite integral below: S¯¼ √x² + 2x − 5dx + Sq − √x² + 2x − 5dx

A: To solve the following integral problem

Q: Σ n=1 sin n n2 + 10

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

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Q: Definite integral

A: Given :Definite integral