An general equation for the plane passing through the points (0, –1, 2), (−1, −5, 4), and (2, –4, 3) is

Q: Compute the partial sums S2, S4, and S6. S2 = S4 = S6 = 3 1.2 + 3 3 + 2.3 3.4 +...

A: First we find the sops of given sequence.

Q: The process of synthetic division applies equally well when some or all of the coefficients are…

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Q: 6. For what value(s) of k, does the function f(x) = Ae**, where A is some constant, satisfy the…

A: To find the value (s), for which the function fx=Aekx, where A is some  constant, satisfies the…

Q: 3 Find the derivative of y=In (8x³-5x)

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Q: a. AOR: y = 0 b. AOR: x=0 c. AOR : x = 2

A: Since you posted multiple subparts, I need to solve only first three subparts.

Q: 4) Suppose the velocity of an object is v(t) = 9t-t³, where v(t) is measured in feet per minute.…

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Q: Consider the following vector function. r(t) = (4 sin(t), t, 4 cos(t)) (a) Find the unit tangent and…

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Q: Find the average value fave of the function f on the given interval. f(x) = 4x − x2,    [0, 4]

A: f(x) = 4x − x2,    [0, 4] We need to find average value of f(x).

Q: The demand function for device model PWX641 is given by p(z) = 510-0.792², where p is the unit price…

A: Given demand function  p( x ) = 510 - 0.79x2 Given data  dpdt = 6 dollarweekp = $194

Q: 15. Practice similar Help me with this Find the value of the integral Determine whether the series…

A: We have, Limit equation is given .

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series 5=(1+2) n+ S

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Q: Find the first partial derivatives of the function. Əw ди Əw Əv 11 W = Need Help? ev u+v5 Read It

A: Given

Q: The equation of the line that goes through the point (3, 8) and is parallel to the line 2x + 5y = 3…

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Q: əz дz Use implicit differentiation to find and Әх ду дz Әх дz ду = = II x2 - y2 + z² - 42 = 3

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Q: How did you get from step 2 to the solution? I dont understand your example. Am I taking the…

A: The answer is in step 2.

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the…

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Q: (iii) y = (3 + 2x)−5

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Q: 65. an (1 + 1/1) n

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Q: Express the limit as a definite integral on the given interval. 2 lim Σ 19(x;*)3 – 5xi]Δx, [2,7] i =…

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Q: This was for question D I did not need A,B,C

A: We need to compute the average rate of change of the future value of the account between year 9 and…

Q: Where is the function continuous? Differentiable? Use the given graph of g to answer the questions m…

A: From the graph y=g(x)=3-(x-1)20≤x≤23-(x-3)22≤x≤4

Q: A meteor follows a trajectory r(t) = (8,6,5) +t(7,6, -2) km with t in seconds, near the surface of…

A: A meteor follows a trajectory rt=8,6,5+t7,6,-2

Q: f(x) = 3x¹/3(x³ - 9).

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Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region in the first…

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Q: If f(x) = x²= 1 and g(x) = 3x²=2x-1, + what is lim f(x) ? X→1 g(x)

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Q: 3. Practice similar Help me with this Find the quotient and remainder using long division for The…

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Q: Cheap Chips Corp. monthly profit (in dollars) derived from the production and sale of device model…

A: Cheap Chips Corp. monthly profit (in dollars) derived from the production  and sale of device model…

Q: Use the ratio test to determine whether n2n n=29 (n+2)! Converges or diverges. (a) Find the ratio of…

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Q: Second derivative of f(x) =2^x/x

A: To find the second derivative of the following function. fx=2xx

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Q: Given the function f(x) = −2x³ +96x +1, determine the intervals where the function is increasing and…

A: f(x)= -2x3+96x+1 We have to find interval of increasing or decreasing of function and also interval…

Q: Hi I need help on solving this problem for my calculus: Evaluate the limit: lim x -> (3pi)/(2)…

A: limx→3π2sin2x+6sinx+5sin2x-1

Q: 63. bn = 3-4" 2+7.4" n

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Q: Use the Shell Method to calculate the volume of rotation, V, about the x-axis for the region…

A: By using the Shell Method to calculate the volume of rotation, V, about the  x-axis for the region…

Q: Use Newton's method with the specified initial approximation x, to find x3, the third approximation…

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Q: differentiate the function f(v)=(v^1/3-2ve^v)/v

A: fv=v13-2vevv NOTE:-Here in question brackets are not given v^1/3 but as we see it must be v^(1/3)…

Q: Find the anti-derivative of the func f(x) = = sin (₁+x) - Solve initial Value Problem f(x) = *+^, Y…

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Q: (c) Given equation r²+(2-1)² = 4 in the cylindrical coordinates. (1) Express the equation in…

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Q: Find a Cartesian equation relating and y corresponding to the parametric equations Write your answer…

A: x=3sin6t ,y=6cos6t

Q: To solve the following problem, use the Limit definition of derivative. a) For the function f(x) =…

A: To solve the following problem, by using the limit definition  of derivative. (a) For the function…

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

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Q: Solve 4x cos(3x) dx using Integration by Parts. 4x 3 + sin 3x + 4 cos 3x + c

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Q: Consider the following. dz Find by using the chain rule. (Enter your answer in terms of t.) dt dz dt…

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Q: The average value of f(x) on the interval (a, b) is found by using the following equation. 1 fave =…

A: The given function is: f(x)=4x-x2 ;          0, 4

Q: Evaluate the integral. Jarctan arctan(3t) dt

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Q: Set up an integral representing the area A of the region enclosed by the given curves. y = 5x, y =…

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Q: Evaluate. Use reduced fractions instead of decimals in your answer. 8x e +3 ¡(² 4x e dx = + C

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Q: 1. For the function ƒ(x) = -x² + 4x + 1, (a) Calculate the average rate of change of the function at…

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Q: 3) Factor the following polynomials: (a) 12x²y + 4xy² - 18ay (c) 2x² - 9x - 18 (d) 27y³ - 125 (b) d…

A: Given polynomials are : (a) 12x²y+4xy²-18xy ;  (b) d²-5d-66 (c) 2x²- 9x - 18 (d) 27y³-125 (e) 121x²…

Q: 1. The graph of f(x) is shown to the right. On the same grid, draw a sketch of f'(x). VA Explain,…

A: Given: Aim:  To draw the sketch of f'(x).