4) Which of the following vectors is parallel to the line L: x = 1 -t, y = 2 + 3t, z = 5 + 2t? a) (1,2,5) b) (2,6,4) c) (-2,6,4) d) (1,3,2)

Q: Suppose you start with one liter of vinegar and repeatedly remove 0.13 L, replace with water, mix,…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 3. Which of the following is equal to fu" du? A) un+1 +C u"+1 B) +C n+1 C)n(u)n+1 +C D) + C 11-1 4.…

A: Topic = Integration 3) B 4) A 5) B

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A: Topic = Integartion Improper

Q: Evaluate the indefinite integral Го уз (y² - 3) dy. y5 - 3y³ + C О О yo 3y1 +C 6 4 O y1 / y³ 1 (4 -…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: mpor dx oy 5-find or if f(x, y) = xe (x²³/2) дху 6- find

A:

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A: Topic = Derivative

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A:

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A: If rt is the rate of dripping out water from a can then volue of water dripping out after t time is…

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A:

Q: . Use the definition of error function, prove that [²' ( ²² ) = √T z

A: On solving this we will get

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A: Here we use formula of integration.

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A:

Q: Problem 8. Find critical numbers of (1) f(x) = x³ - 3x² +1₁ (2) f(x)=x³/5(4- x).

A:

Q: a) Find the root of the equation f(x) = 2cosx-x² to 2 decimal places using the Newton-Raphson…

A:

Q: Which of the following relations is a function? {(1, 9), (2, 4), (2, 3), (4, 15)} {(2, 7), (7, 9),…

A: Given

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A: Let's find rate of inflacted population.

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A: Given problem:- An object moves along a horizontal path with a velocity v(t) = 2t2 - 8t where v(t)…

Q: 2. A particle moves along the space curve r = et cos ti + et sin tj+e-k. Find the magnitude of the…

A: This question is based on chain rule differentiation. ddxfxgx=gxddxf(x) + f(x)ddxg(x)

Q: Make the u-substitution 2 sin x = 2u 1+u²⁹ COS X = 1-u² 1+ u² and dx = du 1+u² to convert the…

A: To evaluate the given integral.

Q: given by v(t) = 7e", where t stands for time. (Note: Find the integral of the function (t).) 2.…

A:

Q: df Use integration to find f(4) if- dx O 42.667 O 43.667 O 47.667 O 48.667 = 2x² and f(0) = 5.

A:

Q: Find the indefinite integral. S(e¹ i + j + costk) dt O e¹i + tj - sint k O e¹i - sint k O e¹i + tj +…

A:

Q: Justify your answer whether the following functions are continuous or not at a certain point or…

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Q: It is determined that the temperature (in degrees Fahrenheit) on a particular summer day between…

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim h → 0  (h − 4)2 − 16…

A: Expand (h-4)2

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A: Given problem:-

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Q: A graphing calculator is recommended. Use the Squeeze Theorem to show that lim x² cos(167x) = 0.…

A: Let's solve limit problem.

Q: 3. Consider the function f(x) = 23 if x = Q if x # Q. Prove that f'(0) = 0. Hint: Apply the…

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Q: Suppose s(t) = 3t+ 6 on the interval [1, 4]. What is the displacement on [1, 4]? 06 08 09 O 18

A: topic-displacement

Q: 1. Review the basic concepts of Derivative of a function. 2. Determine the derivative of each…

A:

Q: The graph to the right is a graph of a polynomial function. (A) What is the minimum degree of a…

A: Given Graph:-

Q: appropriate formula for 9. What is the f sin7 x cos x dx ? A) sin x cos x dx | cscx cosx dx B) C)…

A: We have to find solution of given indefinite integral.

Q: A cell culture contains 10 thousand cells, and is growing at a rate of r(t)=11e0.06tr(t)=11e0.06t…

A: A cell culture contains 10 thousand cells, and is growing at a rate of r(t)=11e0.06tr(t)=11e0.06t…

Q: Evaluate the iterated integral. In6 In2 S." " exty dydx = Mi In6 In2 etty dydx

A: Topic = Integration

Q: 2 Find [f(x) + 2g(x)]dx if [f(x)]dx = 5 and 1 [g(x)]dx = -3. 1) In order to evaluate this integral,…

A:

Q: If f(x)=5x+5/5x+3 find: f'(x)f′(x) =    f'(5)f′(5) =

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Q: A) √2 [² /4t² + 1dt

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 3) 3x² + 3x³ - 5x² + x - 1 x²+x-2 dx

A:

Q: (10) A. 11 = (x²-3x-1) A. 11 3. lm, (x²-25x-5) x-20 B. 10 B. 10 C 9 C. 9 D. 8 D. 8

A: 1) Given limx→010 We know that limx→0K=K               where K is constant . Therefore limx→010=10…

Q: (vii) 5.001 = mpQ (viii) 5.0001 MpQ = (b) Using the results of part (a), guess the value of the…

A:

Q: Suppose a product's revenue function is given by R(q)=−6q2+300qR(q)=-6q2+300q, where R(q)R(q) is in…

A: Let's find numeric value of the marginal revenue.

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A:

Q: || y = = x²-1 x²+x-2

A: Given

Q: Given that  lim x→2 f(x) = 4    lim x→2 g(x) = −2    lim x→2 h(x) = 0, find each limit, if it…

A:

Q: I need the third derivative for all of the following functions: *(x) = 1 + x² € (x) ==—=—==-x 1-X…

A:

Q: Describe the​ statement, "A vector orthogonal to u and v​," using dot product and cross product…

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Q: For the vector-valued function r(t) = cos(t)i + sin(t)j + 2tk Find r'(t). r'(t)=-i sint + j cos t +…

A: Topic = Derivative

Q: :A. Find the determonant of the matrix A 1 2 1 -2 -1 4 -1 -2 2 1 3 2 -2 1 2 -3

A: The given matrix is  A=1 2 1 -2    -1 -2 -1 4     2 1 3 2   -2 1 2 -3.