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Q: Let f(x, y) = x³y and c(t) = (t², t³) (a) Calculate: Vf. c'(t) = (b) Use the Chain Rule for Paths to…

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Q: Q7 Continuity 1 Point Let f(x) = x - 1 if x 1 x22x3 - 2x if x 1 Find the value of c for which f is…

A: for c=49​  f(x) is continuous Explanation:Step 1:Step 2: Step 3: Step 4:

Q: 7) Use sun and difference formula to verify the identity cos(A+B) cos(A-B) = cos2A + cos2B-1 A-B) =…

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Q: Pleasev don't provide handwritten solution ...

A: FINAL ANSWER: The series (∑n=1∞​n21+cos(n)​) is converges.   Thabk YouExplanation:STEP−1 To…

Q: Find the exact length of the curve. y = ² ²x³/2, 3 0≤x≤6

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Q: Write out the general form of the partial fraction decomposition of the function (as in Example 7).…

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Q: Find f'(x). f(x)= 9x 23+ In x f'(x)= |

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Q: Write out the first five terms of the sequence with, [(1)"] determine whether the sequence…

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Q: (3) (LATEX question) Let n = N and take any cЄ R. Find lim x c xn- cn X - C

A: Let .To find the following limit.

Q: Iff (0) = g(0) = 0 and f" and g" are continuous, show that [“ƒ (x)g"(x) dx = f(a)g'(a) – f'(a)g(a) +…

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Q: Find f'(x). f(x)= 2x 29+ In x

A: F′(x)=(29+lnx)22lnx+56​Explanation:If you have any problem let me know here in comment box for this…

Q: I need help with the graphing part

A: a) (f∘g)(x) is the graph obtained after moving/shifting f(x) Horizontally 4 units to the left. b)…

Q: Evaluate the integral 0 [(6te³¹²) i + (3e¯71) j + (1) k] dt.

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Q: Find dy dx and d²y dx² x = et, y = te-t

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Q: Assume that y is differentiable at every x in (-00, 00) and that for every x in (-∞, ∞0), y'(x) =…

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Q: Solve the given symbolic initial value problem. y''+4y' +13y=38(t-л); y(0)=2, y'(0) =2 y(t) = ☐

A: The given differential equation

Q: Find the exact length of the curve. x=e'−t, y=4e¹/2, 0≤t≤2

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Q: The equation r(t) = (2t+3)i + (312-3) j + (3t)k is the position of a particle in space at time t.…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three…

A: Find the local maximum and minimum values and saddle point(s) of the function.

Q: Use the formula for the sum of the first n integers to evaluate the sum given below. 3+ 6+ 9 + 12 +…

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Q: lim (x,y)→(1,1) 2x² - xy - y² x² - y²

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Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 6? y = 5 + 2e* -…

A: (x,y)=(ln(6),17−9ln(6))Explanation:

Q: 1. Determine if each series is convergent or divergent. If it is convergent, find the sum of the…

A: To determine whether each of the following series is convergent or divergent. If it is convergent,…

Q: Homework

A: To minimize total production costs, we need to find the values of L and K that will maximize…

Q: Find the area of the interior of r = 18sinė. Select one: O a. 81 π O b. 45π O c. 36元 ○ d. 72π O e.…

A: Answer::The Correct Option is ′A′ i.e 81πExplanation:sol) The Correct Option is ′A′ i.e 81π

Q: A certain electronics manufacturer is making GPUs for gaming laptops (GPU stands for graphics…

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Q: what technique should be used to evaluate these integrals a. Sx (cosx 2) dx b. Sx cos(x) dx √√√x…

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Q: X 3x2 +5 dx x4

A: To find the indefinite integral and to check the result by differentiation.

Q: Find the number of stationary points for the graph of y=1/2x^4−2x^3−4x^2+11.

A: The objective of this question is to find the number of stationary points for the given function y =…

Q: Homework

A: The maximum volume is 3000 cu.cm.Explanation:Consider a rectangular prism:Recall the formula for the…

Q: Find the length of the curve over the given interval. y = 10+10sinė, 0 ≤0≤2π Select one: ○ a. 20 O…

A: follow the solution part.Explanation:

Q: Perform the following operations and simplify fully.

A: The objective of this question is to simplify the given expression by combining like terms.

Q: Solve by method of sines and cosines f3e3x sen² (e3x) dx

A: Since you have asked multiple question, we will solve the first one for you. If you want any…

Q: ' Write out the first five terms of the sequence with, [(+)"] determine whether the sequence…

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Q: If z = sin () and x = ln(u) and y = v4, find the following partial derivatives using the chain rule.…

A: Given that

Q: Demand According to economic theory, the demand x for a quantity in a free market decreases as the…

A: Given:the number x of DVD players people are willing to buy per week from a retail chain at a price…

Q: Evaluate 4x cos(y²) dy dr. 0

A: The value of integral is sin(16).Explanation:Approach to solving the question:Given question is a…

Q: Find the number k such that there exists a function y which is differentiable at every x and…

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Q: Suppose that f(x) = 16x6 In(x), x>0. (If an answer does not exist, enter DNE.) (a) Find all…

A: Note- As per company guidelines for a question posted we are allowed to solve first three sub parts…

Q: Problem 8 Solving the differential equation with a variable term and a variable coefficient dy/dt +…

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Q: Let f(x) = x|x|. (a) Sketch the graph of the function. 2 y У 4 2 2 y 4 2 y X y X J -4 -2 -2 2 -4 -2…

A: a)4th graph is correct answer b) Differentiable for all real x  c) f′(x)=2xExplanation:

Q: Let  f(x) = e19 − 18x^2. (a) Find the interval(s) where  f(x)  is concave up. (Enter your…

A: The answers are: (a) f(x) is concave up on no intervals, so the answer is None ( ∅ ). (b) f(x) is…

Q: horizontal asymtotes of  1 (x−3)2

A: The objective of this question is to find the horizontal asymptotes of the function 1/(x-3)^2. A…

Q: Let f(x, y, z) = x4y²+ z² and x = = st³, y = s²t³, and z = st. (a) Calculate the primary derivatives…

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Q: can you solve this question for me

A: The objective of this question is to determine whether the given series converges or diverges. If it…

Q: 2. [6 pts.] Evaluate lim f(x) and lim f(x) for the function: f(x) xx (Hint: the limits will be…

A: Limit at infinity = 1 Limit at - infinity = 5Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Evaluate the integral.

A: 1. 34​π​2. 72π2​​Explanation:1. Given:∫3​1​3​​1+x28​dxFirst we need to take out the constant, we…

Q: If a person takes a prescribed dose of 4 milligrams of Valium, the amount of Valium in that person's…

A: Given that a person takes a prescribed dose of  milligrams of Valium, the amount of Valium in that…

Q: A. Find S'(t) B. Find S(20) C. Find S'(20)

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

Q: 3) Evaluate the integral 00 a) √2° 1 x√√x²-4 dx b) S√ dx -1 x2-2x Π 4 xsinx c) Số cos3x dx

A: 3.a)