SET-UP a triple integral that will solve for the volume inside the sphere x² + y² + z² = 2z and above the paraboloid x² + y² = z using a.) Cylindrical coordinates b.) Spherical coordinates

Q: 2xy π Find the equation of the tangent line of the function tan (xy²) = " at x = π

A: This question is based on finding tangent equation while calculating slope.

Q: 5. In another state, license plates are formed using 6 symbols, any of which can be a number of a…

A: We know, There are 26 letters A, B, C, . . . , Z and 10 numbers 0, 1 , 2 , . . ., 9.Therefore we…

Q: 5.5x-2 dx

A:

Q: Find the logarithm. 1 log10 100, 000

A: We will use basic logarithm properties.

Q: 17. √16-e² -dx

A:

Q: S₁ A B If 2x²+x-2 (x+1)(x²+1) ² 1 -- 2 U NIG 5 —— D E) None + -S₂ -dx = A x + 1 + B (2x) + C x²+1…

A: Partial fraction decomposition

Q: 3. If ƒ(x) = log₂(−(x − 6)) and g(x) = √(x + ²) a) Determine the domain of g(x) + f(x) b) Is there a…

A: We want to find domain of g+f

Q: QUESTION 7 Which of the following is or is not an improper integral? Clearly explain your choice. A.…

A:

Q: Q2/ Find the value of the integration by Simpson's method when 3 = n, then compare the result with…

A: We have  slove above integration

Q: Question 4 Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

A:

Q: 1. 2. 3. Principal Nominal $10,525 $11,500 $25,550 Interest Rate Compounding Frequency 0.00 %…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: The most convenient way to evaluate A True B False S 2x-3 x²-3x+5 -dx is use Integration by Parts.

A:

Q: The scalar equation of the line perpendicular to (x, y) = (5, 2) +r(1, -3) through the point (2, -2)…

A:

Q: Evaluate the following Integrals 1. f 5 dx 2 ledr

A: We have to find the integral

Q: WW |Q3.If f(x,y)=sin²(x−3y)+sin "¹(xy) s fin 34 and 3 dy

A: Given :f(x,y)=sin2(x-3y) + sin-1(xy)

Q: For items 22-23: The equation of a curve is y = 6tanx. 22. What is the slope of the tangent line…

A:

Q: Two sides of an oblique triangle are measured as 80 ft and 100 ft and the included angle as 60°. If…

A: I am attaching image so that you understand each and every step.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ (In(x))²6 dx X

A: topic- indefinite integral

Q: If f(x) = 5x(sin x + cos x), what is f'(x)?

A:

Q: 9. [cos° { xsin’ } xdx

A: The objective of the question is evaluate the indefinite integral.

Q: y = 4 16 3x+3

A:

Q: Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x.

A: As per Bartleby guidelines rule I am answering only first question as other questions are not a…

Q: Direction. Evaluate t s+20 the space provided. 1. fxcos 5x dx =

A:

Q: S²- 16-x2 A 2 B) 8 0 None 4 E dx is equal to

A: I am attaching image so that you understand each and every step. Option "C" is correct answer.

Q: (2x-1) In(4x) dx

A:

Q: For items 22-23: The equation of a curve is y = 5tanx. 22. What is the slope of the tangent line…

A:

Q: dx 2√√x + √x

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

Q: Find if x-t³+1 and y=4t²-4t. d²y dx²

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

Q: Svi-x2 1-x2 dx

A: We will solve the problem

Q: 50 [" ( ax³ + bx² + cx) dx = 2b = 25 150 x ²6 x²dx -50 0 A) True B False

A:

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. X₁ 1 y=6 1…

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Q: Which situation shows the concept of the global minimum point? O Solving for the largest possible…

A: topic - global minimum point

Q: Applying basic rules of Differentiation. Evaluate and Solve the function using the product or…

A:

Q: Let S be the solid of integration of the given integral Q. (1.) Sketch S and label its boundaries.…

A: Given

Q: 2. x²+x+2₂ x²-1 -dx

A: Follow the procedure given below.

Q: x6ex7dx

A: Here we have to integrate the given function.

Q: 13. (2x³ +9x) dx ²+3)(x² − 2x+3)

A: Given

Q: A curve is given by the equation x4 + y = 82. Find the equation of the line tangent the curve at…

A:

Q: The plane (x, y, z) = (4, 2, 1) + s(1, 1, -2) + t(2, -1, 3), converted into scalar form, has the…

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Q: 7. [(In x)² dx

A:

Q: dy = 26² Q2/B) Solve the following differential equation by using homogenous D.E method dx

A:

Q: y" + 4y= cos²x

A:

Q: 9. J et dx 10. 4лr² dr

A:

Q: 11. J√e²-1dx

A: We have to evaluate the integral.

Q: hello, could you sketch the graph please

A: Let's sketch the graph.

Q: 3. Let B=(2,4,6,8,10), C=(4,8, 10), and D= (xxis even). Answer the following questions. Explain (a)…

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

Q: Q3.If f(x,y)=sin(x-3y) + sin(x1 find: af 2x and af dy

A: We can find partial derivative with respect to 'x' and 'y' .

Q: Evaluate the following integrals/limit/s: 1. S√16-x²dx

A:

Q: If $S² A 2x²+x-2 (x+1)(x²+1) (В NIG NI- S None -dx= B(2x) +C1 14.0+. dx, then the value of B is…

A: We can answer the question for the value B as below.

Q: 1. Find the inverse of 3x + 1 = 4. x-1 (1) y = x (2) x = y-1 10 (3) x = 3y + 1 (4) y = x+1

A: Given :3x+1=ythenf(x)=y=3x+1