12(x2 + y²) and above the The volume of the solid under the surface z = region 22 + y < 4, y > 0, is a) None of these O b) 487 O c) 967 d) 32т

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A: This question can be solved using the concept of differentiation of function of function.

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A: According to our guidelines, we can answer only one question or three subparts of a question, other…

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A:

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A: Set up the integral

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A:

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A: Follow the procedure given below.

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A: Solving

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A:

Q: Question 1 Area bounded by the curves y=e", y=e", x=0 and x=In2 A 604/9 B 502/9 304/7 304/14

A: Ara of the above bounded curve is given by

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A: This is a problem of series and sum calculation. Based on the formula and concept we will answer the…

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A: Here we have to solve the given problem.

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A:

Q: VA? +3 +3dx

A:

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A:

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A:

Q: 5. a) Find the equation of any tangent(s) to the graph of f (x) = -x² + 6x + 5 that also go through…

A: Given

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A:

Q: 'If you have three functions: f(x) = x2 – x g(x) = 3x – 1 w(x) = x² – 2 So, find gof (x) and fow(x)…

A:

Q: e cos-1x 5. S V1-x2 dx

A: To evaluate the given integral.

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A:

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A: We have to graph the vector field of the given function

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

Q: is xZ dz dx dy

A:

Q: Consider the following. y = 4x2 – In(x), (1, 4) (a) Find an equation of the tangent line to the…

A:

Q: Q2) Find the integral value for the following functions dx 4. S x2Vx2-1 ecos-1x -xp- V1-x 5. S 6. Se…

A:

Q: Evaluate the Laplace transform of ecos3tdt. O a. s2+2 s2(s² + 4) Ob. s+ 16 Oc. 2 s(s²+ 16) O d. s?+4…

A:

Q: Find an equation for a parabola with focus (– 10, 7) and directrix x = - 6

A: Find the equations for a parabola with focus (-10,7) and directrix x=-6.     Here i attached the…

Q: APPLICATION I. Find the antiderivatives of the following functions using the substituion rule. Write…

A: Solving the problem by finding the value of the integrals.   NOTE :: As per our Expert guidelines we…

Q: 4. The dimensions of a rectangle are measured to be 8 ± 0.1 by 4 0.2 inches. What is the approximate…

A: Let's find.

Q: Find the interest and amount due on a loan of Php 54,000 at 15.6% per year for 100 days.

A: Find the interest and amount due on a loan of Php 54,000 at 15.6% per year for 100 days.

Q: Q2) Find the integral value for the following functions 3x 1. S 2. S(sec(4x) – 1)² dx 3. S dx V1+3x2…

A: The integration of the integrals is  1) 3x/sqrt(1+3x2) 2) [sec(4x)-1]2 3)1/[1+(5x+1)2]

Q: Q2 Obtain the general solution for the following differential equation. (b) y" – 4y' + 3y = 3e2x +…

A:

Q: Solve e2x + 7e*+6= 0 Show every step.

A: We have to find the value of x according to the given information

Q: Given that 5i is a zero of p, write the polynomial in factored form as a product of linear factors:…

A: Given that the polynomial is a6-11a5+65a4-331a3+1024a2-1400a+600 and 5i is a zero of the polynomial.…

Q: 5. Fill in the blank: For x, y ER. Equality in the Triangle inequality is satisfied, i.e. Ix+yl =…

A: x+y=x+ysquare on both the sides;(x+y)2=(x+y)2 x2+2xy+y2 =x2 +2xy+y22xy=2xyxy=xyis true only…

Q: I. Find the antiderivatives of the following functions using the substitution rule. Write your…

A: According to our guidelines we can answer only one question or 3 subparts of a question, other…

Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: Given problem:- Find exactly T(t) and N(t) for x = et cost, y = et sint, z = et for t = 0

Q: Find the partial derivative of the function g(r,0) = r cos 0 + r sin 0.

A:

Q: Find T(t) and N(t) at the given point. r(t) = (t? – 3)i + tj; t= 3 T(3) N(3) =

A:

Q: 3x 1. S dx 1+3x

A: Note - As per our guidelines if multiple questions are posted then we have to answer only the first…

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 20…

A:

Q: Find the area of the shaded region Blank 1 Note: Enter exact answer x = y 20 1000 y? 20 ||

A:

Q: 2. Let f(x) = Determine the exact location of any turning points. Use the second derivative to…

A: We can solve this as follows:

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.02t° +…

A: This question can be solved using the concept of interpretation of a function and its derivative at…

Q: Use a power series to represent the function f(x) centered at x = 0. 9x5 – 2 Provide your answer…

A:

Q: Given the e dz nd y, find ar

A: Given: xlny=zArctan3zy

Q: Select the conic section represented by the equation. x 2 - 5y 2 + 6 = 0

A: Follow the procedure given below.

Q: In x Sketch function f(x)= by finding all asymptotes, turning points, points of inflection and end…

A:

Q: Select the conic section represented by the given equation. 13x 2 + 5y 2 - 6x + 3y - 5 = 0 ellipse…

A: The standard form of equation of a conic section is Ax2+Bxy+Cy2+Dx+Ey+F=0, where A, B, C, D, E, F…

Q: Let C1 be the curve with parametric equations x = cos t, y = sint – t, where t e [0, ). (a) Find the…

A: