n2 series E(-1)"+1- converges or n3 +1 n=1

Q: Evaluate the definite integral. sin(3t)dt

A: I=∫0π3 sin(3t) dt  =-cos(3t)30π3  =-13 cos3π3-cos0

Q: Calgary Board of Education CBe-Learn . Find the intervals where the curve is concave up or concave…

A: Solve the following

Q: In the integration of (cos x)^4 (sin x)^3 dx, what is the appropriate transformation? O Transform…

A: Solving the problem by finding the perfect transformation.

Q: Calculate ri(t) r2(t)] and [ri(t) × r2(t)] first by differentiating dt dt the product directly and…

A: Let's find.

Q: uppose the area of the region betwe =b is 3 square units. Find the area be

A:

Q: ) Find p(3). ) Find p(13). =) Find p(13)-p(3). p(13)-p(3) 1) Find and interpret this result. 13-3 -)…

A: Given query is to find the value of the function at indicated points.

Q: Comparing Graphs of Derivative Functions Date Given the graph of f(x), sketch an approximate graph…

A: Given graph of function f(x)

Q: x dx 2 /9 – 4x²

A: Using integration

Q: 6/9 Correct Question 8 of 9, Step 1 of 1 Find the total area bounded by the x-axis and the curve y =…

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Q: Evaluate F. dr. F(x, y) %3D хі + yi C: r(t) (5t + 1)i + tj, 0 sts1

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Q: dy If dæ 4x³ + 3x? + 6x and y = -3 when x 1, fınd y. |3D

A:

Q: Consider the plane curve given by the parametric equations x = t + 22t – 23 y = t2 + 22t – 5 -- What…

A:

Q: y8. |cosx-sinx|dx 16. J-

A: To integrate.

Q: If R denotes the reaction of the body to some stimulus of strength æ, the sensitivity S is defined…

A:

Q: Evaluate (2x - y) dx + (x + 7y) dy. C: x-axis from x = 0 to x = 6

A: ∫c(2x-y)dx+(x+7y)dy x axis means y=0 dy=0 limit of x from x=0 to x=6

Q: Consider the change of variable u = xy and v = 3y + 2x and the integral 2.r + 3y – 6 =0 - ||. (2r²y…

A:

Q: | sin³(18x) dx =

A:

Q: 7. Let f(a) = (4 – 3x)" f(1) has one critical value at A = For x A, f(x) is Decreasing Increasing

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Q: Use Green's theorem to evaluate the line integral along the given positively oriented curve. | 6y3…

A: given circle x2+y2=4

Q: Find the volume of solid generated by revolving the region bounded by the curve y=4/x' and the lines…

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: 5. You are not allowed to use the graphing calculator For the given equation f(x) = x³ – 6x2 +9x- 2…

A: Only 5 solved... According to given   F(x)=x3-6x2+9x-2

Q: 7. When a vehicle is said to be travelling at -35 km/h, what does this infer?

A: We can explain the answer in the following steps.

Q: 3. Suppose that the revenue in selling x tables is equal to 200x – 0.25x2 dollars, and producing a…

A: Suppose that the revenue in selling x tables is equal to 200x-0.25x2 dollars, and producing a table…

Q: Power Reducing Formulas

A:

Q: If f(x, y) = -x - y* + 3xy - 2x - 5y, then in the process of obtaining its critical points the…

A: We want to find value of b.

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: Here we will find all the quantities one by one,

Q: In the integration of (csc 5t)(cot 5t) dt, what is the correct "u"? * cot 5t 5t csc 5t O (csc…

A: This question is based on indefinite integral.

Q: 4. [6.1] If vector b is shown below, sketch a vector. a) Equal to b b) Opposite to b c) With the…

A: Solution of given question is written in below steps.

Q: Nx+ 10 - 100 Rationalize the numerator of

A: Solution of given question is written in below steps.

Q: valuate the indefinite integral. 7 dt (t + 1)?

A: Given query is to eveluate the integral.

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A:

Q: Determine the area to the left of g(y) = 3-y2 and to the right of x = -1

A: Area

Q: It is desired to build a rectangular box of maximum volume such that the sum of the length of the…

A:

Q: 1 Let F be a vector field in IR whose components have continuous partial derivatives. Consider the…

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Q: Find the area enclosed by the given curves. Find the area between the curves y = In x and y = In 3x…

A: Solution:

Q: 11. A snowball melts so that its surface area decreases at a rate of 0.5 cm/min. Find the rate at…

A:

Q: The distance a biker has traveled after t seconds can be modeled by f(t) feet and f(50) = 64. f'(t)…

A: f'(t) > 0 imply function increase with time.  f"(t)< 0 imply function is concave downward

Q: Differentiate h(t) = 54ª %3D

A: Solution of given question is written in below steps.

Q: 1. A bumblebee was released and started to travel along a straight horizontal line. The directed…

A:

Q: a) Find the arc length of the catenary y = coshx between X 0 and x = In4. b) Graph the functions y =…

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Q: y = C,x + C2xlnx is a two-parameter family of solutions of a DE on (0, 0). What would the values of…

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Q: Clairaut's Theorem Let DCR be a disk containing the origin and assume that q : D → R is a function…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: b. Shown below is the graph of a function f(x). Determine the value of each of the following. i.…

A: Topic:- application of integration

Q: Find the volume of the parallelepiped determined by the vectors ā = (5, 4, – 1), b = (0, 1, 4), č =…

A: Given query is to find the volume of the parallelopiped.

Q: Let D, be the linear transformation from C'[a, b] into C[a, b]. Find the preimage of the function.…

A: We have to solve above question

Q: The function f is given by f(x)=9.x^2/3+3x-6 has a relative minimum at x=? A. -8 B.-1 C.-1/8 D.0

A:

Q: II 2. 3. 2. 4. x² 1. X. 3. D3x 4. 1. Find the given derivative. 4-part 1 Homework: Homework Chap

A: Dx3x-12 + 4x32=Dx3x-12 + 4x-32                               =3Dxx-12+4Dxx-32…

Q: Suppose that Po is invested in a savings account in which interest is compounded continuously at 6…

A:

Q: Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of…

A: We have to use the concept of derivatives