%3| Find the value of k if the f(kx2 – 2x + 3)dx = 14.

Q: Let g(x, y) = cos(x + 2y). a. Evaluate g(2,–1). b. Find the domain of g. c. Find the range of g.

A: The function,      g(x,y)=cosx+2y

Q: 1. Revenue is calculated by multiplying the price of an item by the quantity sold: Revenue = Price •...

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Q: How do I simplify (9-sin(x))(4-3cos(x))-(9cos(x))(3sin(x))

A: Given that: (9-sinx)(4-3cosx)-(9cosx)(3sinx)

Q: 4. A projectile is launched from ground level at an angle of 45 degrees. It hits a target that is 20...

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Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the eq...

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Q: d x 2. 2 dx 5X = 8e when t 0, x = 4 - 8

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Q: 3. Use the given acceleration function to find the velocity and position functions, and then find th...

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Q: me limit below represents a derivative f'(a) Find f(r) and a lim h-0 (5 + h)² – 25 h. 10

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Q: If y = x - 4x and x = V2r + 1, find dy/dt when t = 1= V2.

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Q: Se2*dx 8.

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Q: Find an equation of the tangent line to y = 7 sin(x) at x =

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Q: 4x3 + 2x + X 4. lim X→-4 X -3

A: 4. As per our guidelines we are suppose to solve only first question if the multiple questions are p...

Q: The cost in dollars of producing x units of a particular telephone is C(x) = x² - 2500. a. Find the ...

A: Follow the procedure given below.

Q: f(x) to 2. 2.

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Q: x*-4y2 Find lim (x,y)¬(0,0) x2+2y2 if it exists, or show that the limit does not exist.

A: The given limit limx,y→0,0x2-4y2x2+2y2

Q: Find the first partial derivatives of the function f(x, y, z) = xz – 5x²y³z*.

A: Find the first partial derivative of function f(x,y,z)

Q: Activity 1. Find an equation of the tangent lim given point. 1. y = 16 - x2; 2. f(x) = 3x2 + 9x; (0,...

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Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... =

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Q: x+tan x 4. lim X→0 sin x

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Q: Use implicit differentiation to find y' and then evaluate y' at (-2,1). x In y + 6y = 3x ] y'l(-2.1)...

A: This question is related to differetiation. solve in step 2

Q: In Exercises 35-46, find the intervals on which f is concave up or down, the points of inflection, t...

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region a...

A: Given:       y = √(4-x2 )

Q: cos 30 de

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Q: Find the initial velocity such that the particle will have the same position at t-4s a. and t- Os. b...

A: Follow the procedure given. 

Q: Solve the initial value problem from t = 0 to 2 when y(0) = 1. %3D dy yt³ – 1.5y dt -

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Q: (a) What is the rate of change of f(æ, y) = 2xy + y² at the point (2, 1) in the direction i = –3i – ...

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Q: The temperature at a point (x,y,z)(x,y,z) is given by T(x,y,z)= 1200e^(−x^(2) − 2y^(2) - z^(2)) whe...

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Q: Compute the surface area of a surface generated by revolving the curve c(1) = (6 sin²(1), 6 cos² (1)...

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Q: dx xVx2/3-7 XVX

A: An proper and improper integral is an definite integral. ∫1x2+a2dx = 1atan-1xa+C

Q: integral f t^3 In t dt

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Q: This question has several parts that must be completed sequentially. If you skip a part of the quest...

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Q: Use implicit differentiation to find y' and then evaluate y' at (3,0). 9 ey =x? - y? y' = y' (3,0) =...

A: Let's find. 

Q: For the following alternating series, (0.6)7 +... 7! (0.6)3 (0.6)5 An 0.6 - 3! 5! n=1 how many terms...

A: Given:   Alternating series is given

Q: Given the points G(1, –1, 3), H(-1, 2, 1), and K(4, 1, 1), find GH + GK ) × GH · ( GH + HK -23 31

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

Q: Describe the level surfaces of the function f (x, y, z) = y2 + z2.

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Q: Determine if the series converges or diverges. If the series converges give its value. 10 Σ 00 n=4 п...

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. E (- 1)nn ...

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Q: Find the measure of 4x. 134°

A: We need to find angle x.

Q: Find the Taylor series generated by f at x= a. f(x) = 2*, a = 1 Choose the correct answer below. O A...

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Q: Find lim (x,y,z)-(0,0,0) x²+y2+z4 xy+yz?+xz2 if it exists, or show that the limit does not exist.

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Q: For the area bounded by the curves y^2 = 2x and y^2 = -x +6 Determine the area enclosed by the curve...

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Q: The "Tribonacci" sequence is the sequence defined by To = T1 = T2 =1 and %3D Tn+3 = Tn + Tn+1+Tn+2 f...

A: The ''Tribonacci'' sequence is the sequence defined by,  T0=T1=T2=1 and Tn+3=Tn+Tn+1+Tn+2

Q: Calculate the arc length integral s for the logarithmic spiral c(t) = (e' cos(t), e' sin(t)) for 0 <...

A: Explained below 

Q: I. For each of the following generalized complex numbers: Y = a + ib Z = c + id Show the following f...

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Q: Evaluate the given integral, where CC is the circle with positive orientation: 2-32 dz Sc C: 12 + il...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: ∑k=1+∞181k2+63k-8f(x)=181x2+63x-8Use integral testlima→∞(∫1a181x2+63x-8dx)lima→∞(∫1a1(9x)2+(2×9×72)x...

Q: = Z

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Q: Find the directional derivative of f(x,y) = sin(x+2y) at the point (1, -3) in the direction θ=3π/4

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