1. Consider the region bounded by y = x and y = Vx, shown below. Find the volume of the solid obtained by rotating this region about the line r = 3.

Q: 6 3x° sin Evaluate: lim

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Q: 4. Summation of two variables: E(x, +y;)=E×, +£v, i-1 Example Evaluate the following given that x, =...

A: We can find the answers as below.

Q: K石Xuts

A: ∫ Sin-1 x dx   ....(1) Using integration by parts ∫ f1(x)*f2(x) dx = f1(x)∫f2(x)dx-∫[d/dx(f1(x)*∫f2(...

Q: Find the equation of the tangent line at (3, f (3)) when f (3) = 20 and f' (3) = 4. (Use symbolic no...

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Q: d(tan (1)) d(tan x) – 2 for x="% and y = 1. Find the dx using the rule we tan x, dx arned in class f...

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Q: questions

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Q: Compute the flux of F = (5(z + 2), 5, 52) through the surface S given by y = ² + 2, with 0 0, z 2 0,...

A: We have to find flux. 

Q: Solve the given linear differential equation with constant coefficients. Solve each and show complet...

A: Its A.E. is D4 – 4D3 + 7D2 – 4D + 6=0                            (D2+1)(D2-4D+6)=0 Now, D2+1=0      ...

Q: x + 1 dx x,

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Q: 2.

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Q: 11 3Va + ædx 3

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Q: Evaluate the given limits numerically and graphically: lim /x² – 36 X-6 1. 4. X-3 x2 - 9 1 lim 2 Vx2...

A: 2. The given limit is limx→21x2-4.   It is evaluated as follows: If limx→a-fx≠limx→a+fx then the lim...

Q: Question 7 This is a cuboid. Which of the following is not a net of a cuboid? B

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Q: The slope of curve is given as (2x + b+) and has a value of 17 at x = 2. What is the value 16 of y w...

A: Topic = Integration

Q: dx What should be the rewrite of the integrand of so that the resulting integral is integrable? ... ...

A: ∫dx1+cosx

Q: Tell whether each given function has a solution on the indicated closed interval. Prove using the IV...

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Q: se at (r, s) = (1,0), where ds Use the Chain Rule to evaluate the partial derivative S(x, y) = In (x...

A: Given:- f(x, y) = ln(xy) , x=3r+5s , y=2r+9s  To find:- By using chain rule to evaluate the partial ...

Q: a and b are positive numbers. a, -4, b.... form a geometric progression. 14, a, b... form an arithme...

A: Recall: Arithemetic sequence : An arithemetic sequence of numbers such that the difference d between...

Q: Vx+3 4. f(x) = f'(1) x-4

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of...

Q: Skatekthe region enclosed by the given curves and then find the area of the region. y = cos(72), y =...

A: The region is bounded by the curves  y=cos(7x) ,y=0,x=π14 ,and x=π7

Q: 6. If f(x)dx = 5, f f)dx =2, and , f(x) dx = –1, find i f)dx. а. —2 b. 2 C. -3 d. 3

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Q: A central angle ? in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure o...

A: we have to determine degree 

Q: Explain what it means to say that: lim, h(x) - o and lim h(x) x →5+ – 0.7. x →4 As x approaches 5 th...

A: According to question,Given limits,limx→4 hx = -∞,andlimx→5+ hx = -0.7,

Q: y = (x' - 2x2 +3) (7x² – 4x)

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Q: What is the value of a so that In (e") dx = 6? a A.) 0 B.) 1 C.) 2 D.) 3

A: Solve it by using logarithms rules. 

Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = 2x2 +3xy ...

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Q: 5. Evaluate using partial fractions 4x2 - 2x + 8 + 4x

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Q: Sx+1)(3x – 2) dx

A: Evaluate , ∫x+13x-2dx=?

Q: Find the value of k so that the value of "(2y - 1) dy is 10. 1 3 4

A: Topic = integration Value of k is 4.

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for th...

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Q: dz Find given: dt z = zew, z = t°, y = - 5+5t dz Preview dt II

A: This problem can be solved as follows:

Q: the coefficient of the fourth term in  the expansion of  (0.5 – x)10 a. 15/19 b. 17/16 c. -15/16 ...

A: We will find the fourth term and then it's coefficient. 

Q: The given problems need the first derivative. Find the first derivative. y = 3x + 6 y = x2 –1

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Q: Evaluate the integral fw(2w + 3)² dw A.) w+4w3+w2 + C B.) w+2w3+9w2 + C C.) w2(w2+4w+9/2) + C D.) 2w...

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Q: 2. Find the cartesian equation of the following: а. r = 3-sin e b. r? cos(20) = 4 9. r2 C. 4 sin(26)

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Given: y=x+1, y=0, x=0, x=7

Q: ssume you are given the surface S with equation æ² + + = 1. = 1. 9

A: We can use distance formula to solve the problem

Q: (sin x – 1) dx + (cos x + 1) dх %— 0. D.) - (1+) А.) —89 C.)- 1 В.) —91

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Q: 1. Determine the important parts of the conic and sketch their graph. а. у? + 2х — 10у — 31

A: As per our guidelines we are supposed to answer only one question i.e. the question no 1)a). For the...

Q: Equation Find Given dy dx 3. y = (a) when x = 4 %3D dt dt dx dy (b) when x = 25 = 2 dt %3D dt

A: Solution: y=x 

Q: 18. A bus traveling at 66 ft/sec along a straight , level road decelerates at constant rate of 22 ft...

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Q: Compute fx, fy: f (x, y) = arctan(xy)

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Q: Function Type Differential Operator ... AxN + BxN-1 + .+C DN+1 AxNeax (D - a)N+1 cos(Bx) or sin(Bx) ...

A: We will find the differential operator by the given table. We will use second row to find the requir...

Q: Find the moment about the x-axis of a wire of constant density that lies along the curve y = 6x from...

A: moment about the x axis is given by Mx=12∫abf(x)2-g(x)2dx

Q: I. Determine the Fourier series of the following J sin(t) (0 <t<T) (7<I<2x) f(t) = a. Half-wave reci...

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Q: A. How do you define Differentiation? B. Explain the principle of derivative with a given function, ...

A: Differentiation 

Q: Evaluate the definite integral. 4. 2x/x3 + 1 dx

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Q: a. Y= x* + 1 а. a²x b. Y = a²+x?

A: Follow the procedure given below.

Q: Forms of Summation Notation 6. Square of the sum of variables: Ex; =(x, +x, +...+x,)? Example Evalua...

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