If ¹f [ 2³ sin ædæ = −2³ cos x + 3x² sin æ+ 6x cos a - 6 [ f(x)dæ, then f(x) = a. x cos x b. sin x c. x sin x d. cos x

Q: =) 2 -1 -4dx 9x² +30x+25

A: To evaluate the integral.

Q: If what does the following integral equal? [q(w)dw = [ [²³q(w)dw = 12 and q(w)dw = 9.4 1. 2

A: This question can be solved using the concept of definite integrals.

Q: I Sketch the area bounded by x² + 2y = 4 and x+y+2=0 and determine: d) area using horizontal strip…

A: Solution is given below:

Q: Evaluate the following limit: √x-2 lim- x+4 T²-16 01 32 Oº O O undefined 032

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Q: an = {( – 2)"} a) Find ag b) Find Σ.,a, 1 an 4

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Q: II. Open-ended problems. 21. Two lines intersect each other in a circular plane with an equation x²…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Which of the following shows the expansion of 2-5n? n-0 O(-18) + (-13) + (−8) + (−3) + 0 O(-3) +…

A: To find the expansion of the given expression, substitute n=0,1,2,3,4 in the given expression.

Q: Find the limit and determine if the function is continuous at the point being approached.

A: This question can be solved using the concept of limit and continuity.

Q: {an} is a geometric sequence. a5 = 2, ag = -54 find a 11

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Q: Find the transfer function, G(s)=C(s)/R(s), corresponding to the differential equation, d³c d3 +3.…

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Q: Solve the following differential equations by using appropriate method or substitutions. 1) y' -…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Find the Fourier series for the following functions: f(t) = |sin t], -1 < t < n

A: To find the Fourierseries for the following functions.ft=sin t, -π&lt;t&lt;π

Q: D O O O 59 2 04 Question 16 Evaluate lim N-00 12 01 3|2 • Σ [()* - (-)] ++ N by using it as a…

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Q: Which linear equation is shown below? y = x/5 +2 y = 4x + 3 y = 5x + 2 y = 5x - 2 y = 5x + 4

A: To find out the correct linear equation which is shown in the graph below.

Q: 3. Write an example of a parabola that has been stretched vertically, translated horizontally and…

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Q: 1. y'= exp (2x - y). ANS. 2e" = e²2x + c.

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Q: Let G(x) = sec 0 do for a in [0,]. Find G'(a).

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Q: Find the area enclosed by the given curves. 24) y = 1/2 x², y = , y = -x² + 6

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Q: Given the function graphed below, evaluate the definite integrals. -1 4 3 2 1 1 -1 -2 -3 -4+ […

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Q: A function is given below. Determine the average rate of change of the function between t = 6 and t…

A: The objective is to determine the average rate of change for the function.

Q: Find an equation of the plane that contains the line x = −2 + 3t , y = 4 + 2t , z = 3 −t and is…

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Q: Which term is -708,588 for the following sequence, assuming that the pattern continues? 4, -12, 36,…

A: Solving the problem by finding the value of the n-th term .

Q: 3T and answer the following questions. Consider the follow series: 0 (-1) 1 a) Use the Ratio Test to…

A: This is a problem related to series and sum calculation. Please follow the procedure given below.

Q: Show the connection between the slope of a tangent of a function at a given point and its derivative…

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Q: a) à-2b b) ||a+b|| c) ab a=,b=

A: According to bartleby guidelines when student post multiple subpart question then expert must have…

Q: The area of the surface formed by revolving the curve x = 2√1-y in the interval 0 ≤ y ≤ 1 about the…

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Q: 2nx 5x e e dx

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Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: Please see the below picture for detailed solution.

Q: Find the equation of the parabola described below. Find Kthe two points that define the latus…

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Q: ·bounded by x² + 2y = 4 and and determine: - Sketch the area x+y+2=0

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Q: If z² - 3yz² + xyz -2=0, find Az дz and дх ду

A: The objective is to find the Partial derivatives.

Q: Find the volume of the solid generated by revolving the shaded region about the given axis.

A: We need to find volume.

Q: By using Green's Theorem, calculate the integral [x²y dx-xy² dy in polar coordinates, where is the…

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Q: Thank you! It's a little hard to read. If you don't mind, may you upload a picture?

A: Our Aim is to find two positive numbers satsisfying the following requirement given below:-The…

Q: Find the average value of f(x, y) = x² y over the rectangle R with vertices (−3, 0), (−3, 8), (2,…

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Q: [x=t+1 B- Find an equation plane pass through point (1,0,0). If the line L₁ y=-2t Z -3t…

A: Given: 1,0,0 x=t+! y=-2t z=-3t

Q: 5.f 21 dv (v-1)(v+3)(v-4)

A: We can evaluate the given integral by using the partial fraction method.

Q: Using polar coordinates, evaluate the integral // sin(x² + y²)dA where R is the region 4 ≤ x² + y² ≤…

A: Concept: Dual integrals in polar space: An iterated integral in polar coordinates can be used to…

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: 18. Suppose≤0 ≤ and sin0 = Evaluate cos ㅠ 0

A: Topic:- trigonometry ratios

Q: Evaluate [F·dr if F(x, y)=(4e³)ī +(4xe³)j and the curve C' is line segments going from (0,0) to…

A: To evaluate ∫C F⇀·dr⇀ if F⇀x, y=4eyi⇀+4xeyj⇀ and the curve C is line segments from 0, 0 to 5, 4 to…

Q: Shoppers at Pageturner's Bookstore are tracked, with the following results: 34% visit the…

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Q: On Integration of Rational Fractions. Distinct linear factors Repeated linear factors x+8 7) 2+ 1²²…

A: 6) Given:       x+8x2+x-2=x+8x-1x+2 The partial fraction decomposition is:…

Q: (a)Show that F is a conservative vector field. f(x,y,z) = (b)Find a potential function for F.

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Q: Use Green's Theorem to evaluate the line integral. Assume the curve is oriented counterclockwise.…

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Q: Evaluate the double integral. Int[2,6] Int[-2,2] (-u+5v) dudv

A: I have stated the used formulas in the solution

Q: The exponential function f(x)=abx contains the points (0,2) and (-3,54). Write the conditions as…

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Q: For the following exercises, consider a pizzeria that sell pizzas for a revenue of R(x) = ax and…

A: This question can be solved using the concept of maxima and minima.

Q: 2. If x=1.0 and y=2.5 are round up numbers, find the maximum absolute error (A.E) involved in…

A: Absolute error:- Absolute value is that value in which we subtract the original value minus the…

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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