The region enclosed by y = va and y = x is rotated about the x-axis. Choose the integral that can be used to find the volume of the solid of revolution. out 「Yり?) 21 メ (Use washers

Q: Q3/ Find the area of zone bounded by curves: y= x , y= 3x+8

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Q: What is the derivative of the function f(x) = In(3x²) ? O a. f'(x)= 2 а. O b. None of these. 1…

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Q: Determine the equation of the tangent for f(x)=sinxcosx at x=π/3. Answers in exact value.

A: Equation of tangent is y-y1 =m(x-x1 )

Q: If logx y = 100 and log2 x = 10, then the value of y is: O a. 2 to the power thousand O b. 2 to the…

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Q: Use Ay f '(x)Ax to find a decimal approximation of the radical e V10 What is the value found using…

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Q: Question 15 Determine the interval of convergence for the power series that can be used to represent…

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Q: Show tkat cos (2 I +x

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Q: ||r'(t) × r"(t)|| ||r(t)||* Use the formula k(t) : to find «(t). %3D r(t) = t’i + t®j %3D 390 t14…

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Q: What percentage of bookcases in the example are large? Large constitute: ______ %

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Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r(t)||* r(t) = e"i+e-tj K(t) =

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Q: If f(x) = x² m2. find f'(2).

A: We will use simple differentiation rules to solve these questions.

Q: Answer the following problems using the specified method up to four (4) iterations only. Round off…

A: f(x)=ln(x2)-0.7xl =0.5xu=21st iteration:  Here f(0.5)=-2.0863<0 and f(2)=0.6863>0  ∴ Now, Root…

Q: lim *+1) x-l x+3

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Q: 18r +3 2. dr. 92+6r +2 cos z dr. 3.

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Q: x 4 Determine the constants a and b so that f is continuous on R.

A: This question can be solved using the concept of continuity of a function at a given point.

Q: Find the laplace transform of cosat using the formula L{f(t)} = e-stf(t)dt . Hence find the laplace…

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Q: Find the graph of the equation 9x 2 + 25y 2 = 225.

A: Here we have to graph the given equation 9x2+25y2=225

Q: If the ideal gas law (PV=kT) is used to find P when T and V are given, but there is an error of 0.3%…

A: PV = kT   P = kTV                                               1…

Q: Find g'(3) given that f(3) = -5 and f'(3) = 4. g(x) = 3x² – 5f(x) g'(3) = i

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve the initial value problem y" – 6y + 25y = 0, y(0) = 2, y (0) = -3. %3D

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Q: Find the total area of the region enclosed by y=x^2 and y=2x by integrating with respect to y. (A)…

A: To find the area of the region enclosed by the two curves.

Q: 6. Determine the derivative of each function. (a) f(x) = (-4)e5x+1 (c) ƒ(x) = 63x-8 (b) f(x) = xe 3x…

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Q: Write the general equation for the circle that passes through the points: (-1, 2) (4, 2) (- 3, 4)…

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Q: Question : Given the following transformations, write the resulting transformed equation for the…

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Q: d d Calculate r:(t) - r2(t)] and r:(t) x r2(t)] first by differentiating [r(t) × r2(t)] first by…

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Q: f the limit of the nth term of a series converges to 0, then the series onverges.

A: This is the false statement. So i am providing an example in my handwritten note, so that it'll be…

Q: (x3-4) 2. S dx x3+2x2+2x

A: To evalaute: I=∫x3-4x3+2x2+2xdx=∫1-2x2+2x+4x3+2x2+2xdx=∫dx-∫2x2+2x+4x3+2x2+2xdx

Q: 1. Let f(r, y) Find: %3D I+y+1 (a) f(2, 1) (b) f(1,2) (c) f(a, a)

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Q: Using "Numerical Differentiation (Backward Finite Difference)" Problem Solving f(x) = 2cos (3x-2)…

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Q: -3 d) de e) co f) dx x-2 + 4 cot x dx e2x - 1

A: Solution in step 2

Q: #2. Determine if the function g(x)-3x+5x is even, odd, or neither (a) using algebraic approach, (b)…

A: Odd even function

Q: The first three terms of a sequence are given by 5x +8,-2r+1, x-4 (a) When x = 11, show that the…

A: If the ratio of the successive terms of the sequence is constant then it forms a geometric sequence.

Q: Solve the boundary value problem y" – 10y + 25y = 0, y(0) = 3, y(2) = -2. %3D %3D |

A: To solve the given boundary value problem.

Q: 3 2 4x 6. S x´e* dx

A: ∫ eau du = 1a eau +C ; where , 'C' is an integration constant .

Q: A man decides which load plan is the best choice if he has an average of 1000.75 min of call in 30…

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Q: Find the length of the minor axis of the equation 4x 2 + 3y 2 - 32x + 12y + 64 = 0. 2√3 4 2√(11)

A: Ellipse

Q: For Item # 3- 5: Myrvel is working on the graph of the function y = - 2x + 4x – 6x + 7 and the point…

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Q: FindS( 3x* – 2x³ + 4x² – 5x + 2) dx -

A: Given; I=∫3x4-2x3+4x2-5x+2dx   As we know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule;…

Q: 2-Jx-3 b) lim 7-х

A: b) Let I=limx→72-x-37-x

Q: Let X be a random variable with mean u and variance o2, and suppose that its moment- generating…

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Q: The Maclaurin series for cos x is Eo (-1)"; What is the n%3D= (2n)! coefficient of the term forx*?…

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Q: Find the arc length L of the graph of r(t). r(f) = t° i+ t j+V6r k, 3 <1 < 5 L = i

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given lines are, x=8t+2,y=3,z=-t+1And x=2s+2, y=2s+3, z=s+1⇒x-28=y-30=z-1-1=t…

Q: / Find the value of the following: 1) cos (tan- 1) 2) sin (sin-) -1 3) tan (cos n) cos (sin-1) 4)

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Q: Question 10 of 10 sin x g(x) = Select the correct response 1 /x cos x 2x cos x sin x - O Va cos x 1…

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Q: Verify Green's Theorem by evaluating both integrals v dx + x* dy = // aN ƏM dA ду əx for the given…

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Q: 3. Using the graphs of the functions f and g below, determine the following. If infinite, specify ∞…

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Q: 3. Let f(r, y) =r sin ry. (a) fa(1,9) (b) fy(r, y)

A: Given: f(x,y)=xsinxy

Q: 3. Find two different sets of polar coordinates (r. 8) for the point with Cartesian coordinates (x,…

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Q: f(x) - 3x- 10 X-4 a) Determine symmetry near the asymptotes and asymp totesand behaviour of fo) b)…

A: If f'(x) &gt;0 then f(x) is increase and if f'(x) &lt;0 then f(x) is decrease.