If we let u = cos t, then the integral [(sint). In (cost) dt can be expressed as - [In(u) du 0 [In(u) du of cos cos u [In(u)] du sin u [In(u)] du O All of the above O None of the above

Q: If an object's acceleration is a(t) = 4cos(3t) and v(0) = 3, what is v(5)? O 4.867 3.867 2.867 0.867

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Q: f(x,y) = x² + 6xy − 3y² + 2x - 2y + 1433, g(x, y) = sin(x²y + 2x - 5),

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Q: Check whether the points (0,7,-10), (1,6,-6) and (4,9,-6) are the vertices of an isosceles triangle.

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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: # 000000 JUUUO Find the area of the region enclosed by the graphs of y = √9-x² √9-x² and -0.1x + 1.…

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Q: A Markov system with two states satisfies the following rule. If you are in state 1 then of the time…

A: Concept: A Markov chain is a stochastic version that describes a chain of feasible occurrences…

Q: If acceleration is a(t) = sin(t) and initial velocity is v(0) = 3, what is an integral function that…

A: topic- integration

Q: A. Find the determonant of the matrix A 2 1 -21 -1 -2 -1 4 3 132 2 1 1 2 2-31 ܝܪ ܠܕ ܬ ܨܐ 1

A: To find the determinant of the matrix A=121-2-1-2-142132-212-3.

Q: 1. Which of the following represents the limits of ff(x)dx? A) a and b B) f(x) and dx C) a and f(x)…

A: Given : ∫abf(x)dx

Q: lim 4x X f(x) ?

A: Using approximate approach ing toward 1/2

Q: a. Create a table of signs for f' and f". Identify the intervals where the function is increas- ing…

A:

Q: let X be a random variable with density function given by x si -1≤x≤1 f(x) = ={1 0 en otro caso x…

A: As the given function is triangular function between -1 and 1 , hence, we can use the general…

Q: 3.lim √x + 3x + 6 x-2 -2.1 X f(x) -2.01 -2.001 -2 ? -1.999 -1.99 -1.9

A: Limits

Q: Use the geometric series formula 1 ∞ x³ 1 - = Σy to express the function as a series: n=0

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Q: Evaluate the definite integral 2 L² ( 1² + 7) dt ? O 28 3 O 70 3 O 10 O 24 O All of the above 20…

A: * We have to evaluate the definite integral ∫-12t2+7dt . * We have to identify the equation of the…

Q: A population of 470 bacteria is introduced into a culture and grows in number according to the…

A: Given problem:- A population of 470 bacteria is introduced into a culture and grows in number…

Q: 1. Iim (10) A. 11 B. 10 2. lim (x²-3x-1) A. 11 B. 10 3. (x²-25x - 5) A. 18 B. 17 4. lim [(x-4)(x+6)]…

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Q: # Find a and b so that the function e-ax, x ≤ 0 f(x) = {₁² + 5x + b,x>0 is differentiable…

A: To find out the sum a+b.

Q: Determine the slope of the tangent line to the curve of intersection of the surface f(x, y) x + 2y x…

A: According to the guidelines, we are answering first question. Please repost the remaining.…

Q: 2.1-dx 3.J12x³dx

A: Here we use formula of integration.

Q: Find the value of k so that the given differential equation is exact. (7xy³ + cos(y)) dx + (2kx²y² -…

A: Given

Q: A and B are subsets of R (set of reals) Let A be a non empty subset of a bounded set B. why does inf…

A: SOLUTION-

Q: Consider the following figure. B A A D Given: AABC, whose sides are 25 in., 17 in., and 26 in. Find…

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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

A: As per bertleby guideline I have to solve only first question or first three subparts. So for answer…

Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

A:

Q: For the given rational function, (A) Find the intercepts for the graph. (B) Find any vertical or…

A:

Q: 1. Which of the following is the reverse operation of [f(x)]? dx A) f f(x) dx B) Jdx C)f cdx D) dx…

A: Topic = Integration 1) A 2) A

Q: If a circle has a radius (r) with an indicated arc length of 34ℼ, and two central angles of aℼ/15…

A:

Q: 1.) The height above the ground at which a ball is released at an initial height of 122.5m is given…

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Q: Find the area bounded by the graphs of y = cos x and y = x² y=x² y = cos x + X

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Q: 8) Consider the solid Q that is generated in the first octant by the surfaces S₁: (x - 2)² + (y-2)²…

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Q: Suppose an object moves along a linear path according to the velocity function v(t) = 3x² - 2x,…

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Q: Direction: Understand the situation and answer the questions that follows. Show your detailed…

A: Probability.

Q: df What is the total change of f(x) between x = 0 and x = 2, when dx 2.132 2.101 1.709 1.609 = 2…

A: Given query is to find the total chnage .

Q: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

A: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

Q: y' = X y+x²y , y(0) = -2

A: Given differential equation: y'=xy+x2y, y0=-2To Find: solution of the differential equation

Q: 21. Find the solution of the given initial value problem. y’’+y’+1.25y=0,     y(0)=3, y’(0)=1…

A: NOTE: Refresh your page if you can't see any equations. . the auxiliary equation is given by

Q: EX: Estimate the value of 1.1.5 Sol 3 (4.5 = (1+0.5.), X=015 by..binamia.l.sevies... m. = 0.15…

A: We have to expand it by using binomial expansion.

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

A: Given problem:- You want to build a 1100 square foot rectangular infinity pool. Three of the sides…

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: 4.(2x³ -5x² + x)dx 5.[(5x² - 4x+2)dx

A: This is a problem related to integral of the function. Based on the general formula and concept we…

Q: ermine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that…

A:

Q: Find the first three nonzero terms of the Maclaurin expansion of the given function. f(x) = 10 1-x…

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Q: If a ball is thrown into the air with an initial velocity of 50 ft/s, its height in feet after t…

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Q: The figure shown to the right contains a scatter plot of 10 data points for trees, where the…

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Q: Find the general solution of the differential equation by using (Variation of Parameters Method) -2x…

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Q: For the function y = f(x) = x² − x + 5, x ≥ 0.5, find (ƒ˜¹)'(7) = dy y=7

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Q: Use the given information to find f '(9). f(x) = 3g(x) + h(x) g(9) = -4 and g'(9) = -1 h(9) = -5 and…

A: Given: fx=3gx+hx.We need to find f'9.