Integrate using appropriate U-Substitution. You must label u and du: 4x²e¹-x³ dx u= du =

Q: Solve y(1): dy/dt + x = 1; dx/dt-y + 4e¹ = 0; x(0)=0 and y(0)=0.

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Q: Which of the following statements is true? If f(x) = sec (x) tan(x), then a particular…

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Q: 2-3i/1-2i

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Q: Evaluate the following iterated integral. ["""_p²sin(e) dp de de O 1872 3 O 872 3 T O 1090 7 I T

A: Evaluate the given integral which is in the form of spherical coordinate.

Q: Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as…

A: The given triangle has measures, ∠A=26°, ∠B=51°, AB=22m

Q: A population of 440 bacteria is introduced into a culture and grows in number according to the…

A: Let's find.

Q: 3

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Q: (3) Theorem: The area between the curves y = f(x) and y g(x) and between x = a and y = b is A =…

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Q: Tutorial Exercise Use the Quotient Rule to find the derivative of the function. f(t) = cos(t) Step 1…

A: Solve the following

Q: A 390-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

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Q: Example: Determine the volume of the solid that bounded by the parabolic cylinders y-x2 and x-y2 and…

A: Given: we have to find the volume of solid that bounded by the curve y=x2 and x=y2 and plane z=0 and…

Q: Find f(x) given    f'(x)=(x2-2x+1)/x f(1)=6

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Q: If it is known that ºf(x) dx = 17 and f f(x) dx = 12, find ſº f(x) dx.

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Q: What is the total change O -1

A: topic:- function

Q: Suppose that 0 is in standard position and the given point is on the terminal side on 8. Give the…

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Q: 19. I. lim g(x) = 5. z-6 II. g(6) = 5. 20. I. g is continuous at x = 6. II. g has a removable…

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Q: )  Solve the initial-value problem by using integrating factors. y' = 2y + xex, y(0) = −1 y(x) =…

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Q: Find the second derivative of the function. f(x) = sec x F"(x) = sec x(see²+tan² Need Help? Submit…

A: Let's find double derivative of function.

Q: what point is the tangent line to y=1+2e* - 3x parallel to 3x - y = 5 ?

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Q: For the following exercises, evaluate the binomial coefficient. (3) 17 25 6. 11 7- (7) 7. (200) 8.…

A: To evaluate the binomial coefficient.

Q: If f(x) = e³x e³x, which equation describes the average value of f(x) over the interval [0, 3]? 1 3…

A: Solve the following

Q: Solve x(1): dy/dt + x = 1; dx/dt -y + 4et = 0; x(0)=0 and y(0)=0. O 7.88 O 3.78 -5.58 O -6.75 O 9.02

A: We have to slove above questions

Q: The graph shown below is f (x) = √√9 - x². If g(x) = f* f(t) dt, what is g′ (√5)? g' 00 02 O 2.5 5+…

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Q: A particle starts from rest at time t= 0 and moves in a straight line, accelerating as follows: a =…

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Q: Norma is running a race. Between time t = 0 min and t = 15 min, her speed is 4 miles an hour;…

A: Given speed of Nomra from 0 to 15 min is 4 miles per hour Speed of Norma from 15 to 30 min is 6…

Q: The world's population in 1980 was about 4.5 billion. Suppose the population increased at a rate of…

A: As per our guidelines we are allowed to solve only first 3 sub-parts. kindly repost others. Thank…

Q: sin²0 + tan²0 + cos²0 Otan ²0 cos ³0 sin 0 sec²0 ty the e

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Q: Use the alternative form of the derivative to find the derivative at x = c (If it exists). (If the…

A: Given hx=x+8, c=-8

Q: Find the indefinite integral. (Use C for the constant of integration.) sin(2x) cos(2x) dx

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Q: Evaluate f(7) and f(7.1) and use the results to approximate f '(7). (Round your answer to one…

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Q: 33. The eighth term of (7 + 5y)" 35. The fifth term of (x - y) 37. The ninth term of (a-36³) 1

A: eighth term of (7 + 5y)14 here bionomial expanding formula  (a+b)n  = an + (n 1)an-1b +..... Tr+1…

Q: D. Solve the given differential equation by variations of parameters. 1. y" + y = cos² 2. y" + 2y +…

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Q: 7. y = tan³ (2³) (A) 3x² sec(2³) tan(x³) (B)-3x2 sec(³) tan(x³) 8. y = cos(5x) (A) sin(5x) (B)-5…

A: Topic = Derivative As per guidelines, At a time only three sub-parts of a question can be answered.

Q: For numbers 21-23, consider g(x) = 5x² - 2√x³ 21. Which of the following shows the domain of g(x)?…

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Q: Suppose that f and g are continuous functions, and that ₁² f(x) dx = −4, f₁ f(x)dx = 6…

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Q: 5n i\n +1 Σ– n=1

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Q: The following is the graph of a function f(x). -5 -4 -3 -2 7 Clear All Draw: 5+ 4 3 2 1 -2 -3 -4 -5+…

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the given line is passing…

Q: Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had…

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Q: f(x) = 3x^3 + 9x^2 + x + 3  Factor f(x) into linear factors. Don’t forget the leading coefficient.

A: The given function is; f(x)=3x3+9x2+x+3.

Q: sin () = √3- sin(). The Solution set is 3 21 A 5 31 3 3 {##) (1 O{#, *}

A: topic - solution of trigonometric equations

Q: 20

A: I have stated the used formulas in the solution

Q: Estimate the area under the graph of f(x)=1/x+3 over the interval [-1,2] using ten approximating…

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Q: A region bounded by f(y) = y, y = 8, and x = 1 is shown below. Find the volume of the solid formed…

A: Given, f(y)=y3, y=8, x=1

Q: 1). Find the first six terms of the sequence, starting with n = 1. an = 6 + (−1)n for n ≥ 1 a1=…

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Q: Find the values of a where the tangent line to the graph of f(x) = y = 5x + 6. Give exact answers…

A: Given: Find the values of x where the tangent line to the graph of f(x)=1x is parallel to the line…

Q: The rate of change in the number of barrels, B, of oil pumped from a field is proportional to…

A: Given the rate of change in the number of barrels, B ia proportional to 2,300,000 - B(t) Here 't' is…

Q: Find the formula for the total distance traveled by an object with a velocity v(t) = 2t² – 8 on the…

A: The objective is to find the correct option.

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

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Q: Sketch the region enclosed by the given curves. 1 x, y = 4/x, y = 16x, y = 16 y 10 8 y 10+ Find its…

A: This question can be solved using the concept of area bounded by curves.

Q: Evaluate the determinant of the given matrix. det(A) = A² + 3x + 12 A²+ 3A - 10 x² + 3x + 2 A²+ 3A -…

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