Using double integration, find the volume of the solid bounded below by the plane z = 0and above by the paraboloid z = 25 - x?- y2. O a. 125n 2 Ob. 625n OC 250 Od. 1250n

Q: 21. sin x dA, Dis bounded by y = cos æ, 0 < æ < 7/2, y = 0, x = 0

A: Solution of the above question is given by

Q: 4. Use the method of undetermined coefficients to find a particular solution to the system below. Pr...

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Q: b) E = 25,000 101.5M %3D

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Q: А. Σ 5n –1 n=1

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Q: Find the Maclaurin polynomials of orders n=0,1,2,3  and 4, and then find the nth Maclaurin polynomia...

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Q: A given partial fraction 2x A B Cx +D (x- 1)(x+ 4)(x²+ 1) + X+4 X-a x² +1 B can be evaluated as: O 8...

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Q: 22 Choose only two: (- A) Graph the two equations and find the points in which the graphs intersect....

A: To answer the given question about the parabolas.

Q: y=(x^1/2)^7x find y'

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Q: For the graph, calculate the following quantities.  1) y'(5) if y(x)=f(x)g(x) 2) y'(2) if y(x)=((f...

A: Given the graph 

Q: Find the derivative of the vector function below r(x) = sin°(secx ?)i +csc'(Vx² +1)j +8tan(x ²) k

A: Given: - The vector function is, r(x)=sin2secx2 i+csc3x2+1j+8tan(x2)k To find: -The derivative of th...

Q: Use Stokes’ Theorem to evaluate the closed loop line integral F*dr where F(x,y,z) = xi + yj + 3(x^2+...

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Q: If xy + 4e = 4e, find the value of y" at the point where x = 0. y" =

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Q: f(x) = and g(x) = 2x 1 and h(x) = 1 4x-1 %3D

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Q: 6. Use implicit differentiation to find dy dx x³ + xy-y3 = 7 %3D |

A: Answer: The solution is as given below :  

Q: The Pacific halibut fishery has been modeled by the differential equation dt where y(t) Is the bioma...

A: the solution of equation y(t) = M/(1+Ae-kt) where A = (M - y(0))/y(0)            A = (9 * 107 - 2*10...

Q: . Express as a single logarithm: loga x + loga(x² – 16) – loga7 – log.(x- 4).

A: The given expression is logax+logax2-16-loga7-logax-4. We have to express single logarithm. To solve...

Q: X+3 is x² -9 The y-intercept for the function f(x)= O (0, -3) 0, O (0, 3)

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Q: The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in cm2/min...

A: Given :radius of spherical ball is increasing at a rate of 2cm/minso, drdt=2cm/min

Q: QUESTION 3 What is the graph of the equation x2 + z2 = 1? Circle Cylinder Plane Sphere

A: ⊙The standard equation of circle in x-z plane with centre (h,k) and radius r is given by:           ...

Q: dy when (cos x) = (sin y)* dx A Find %3D

A: Note: - Since you have asked multiple question, we will solve the first question for you. If you wan...

Q: 1. A movie theater seats 240 people. For any particular show, the amount of money the theater makes ...

A: According to question,Given,Number of people n= 240 - 12pwhere,p is the price of one tickets. 

Q: Use the definition of the derivative to find the slope of the tangent line to the curve y= 3x^2 - 9x...

A: We have to find the equation of the tangent

Q: Simplify into a single trigonometric relation. sec 20 1 tan e cot e

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Q: Given the vector u = - 6i – 3j, find the magnitude and angle in which the vector points (measured co...

A: Here we will find the magnitude and direction of given vector,

Q: If f(x) =x² +1 and g(x) = 2x + 3, find all values of x where the derivative of fAg(x)) is equal to t...

A:

Q: 2п +1 E. Σ Зп +2 Е. n=0

A: The given data is: ∑n=0∞2n+13n+2  Solve using the integral test.

Q: 4. The figure represents a rectangular parallelepiped; AD = 20 in, AB = 10 in, AE = 15 in. (a) Find ...

A: Find your answer below 

Q: Choose 3 inequalities that form a system whose graph is the shaded region shown above. DA. 4x - 2y s...

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Q: Q.3\ The Maclaurin series for cos(2x) for every x is :

A: The Maclaurin series for cos(2x) for every x.

Q: Match each graph type with its corresponding function. 1. y= Exponential Function 2. y= log 4x Logar...

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Q: ass weighing 20 pounds stretches a spring 6 inches. The mass is initially released from rest from a ...

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Q: Find the solution to the initial-value problem. y' = −8x tan(y), y(0) =  ? 2 y =

A: Given query is to find the solution of differential equation.

Q: Find the solution to the differential equation y' =    2y satisfying y(0) = 18.   y(t) =    b). F...

A: Topic:- differential

Q: Use the cross product to find the area of the triangle with the vertices P = (2, 2, 6), Q = (3,4, 3)...

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Q: 8. The following graph represents the displacement of an object, s(t). i. Sketch the velocity v(t), ...

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Q: Find the phase shift of the function y = -sec(2x + T) 2 2 -2TT 2TT

A: Topic:- trigonometry 

Q: Which of the following statements is TRUE? (Circle ALL that apply) a. A constant function has no der...

A: answer is D a polynomial function is always differentiable. this is the property of simple function ...

Q: Let R be the region inside the polar curve r = 4 and outside the polar curve r = 4+2 cos 0 as shown ...

A: Given:       Polar curve r=4                         r=4+2cosθ     Area between the curves on an int...

Q: 3. A ball is launched vertically into the air from a height ofh meters and with an initial upward ve...

A: Given: A ball is launched vertically into the air from a height of h meters and with an initial upwa...

Q: مرمع الراشرة

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Q: 6e 4x -e-2x 9. lim x→-o 8e4x –e2x+3e-x

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Q: What is the derivative of y = 34? a. y (4)(3**) b. y = 4x3 c. y = (4)(3*) In(3) d. y' = In(4x) + 34*...

A: We can answer all three subparts as below.

Q: raitional fanction alg2 Which equation represents a rational function ? algebra2 Rational function...

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Q: J. E n=1 Vn 2.

A: p-test series for a series to be convergence ∑n=1∞1np will diverge if p≤1              will converge...

Q: 44

A: Please refer to the image below

Q: A fourth degree polynomial with constant coefficients may have (1) 4 distinct real roots. (1I) 3 dis...

A: Find your answer below 

Q: 4x-3, 15. What is the derivative of f(x) ? Зх+2 17 a. (3x+2)2 4x2-3x b. 3x2+2x С. 16 d. (3x+2) 16. W...

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Q: lim 2+x) In(1-x) x0 (1-e*) cos x

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Q: Use sigma notation to write the Maclaurin series for the function. 9coshx 9. –1) (2k)!" 6. k=0 00 2k...

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Q: Find the indefinite integral. X COS 9TX

A: Given,I=∫ xcos9πx2dxPut u=9πx2Differentiatedu=9π(2x)dxdu=18πxdxdu18π=xdxThereforeI=∫xcos9πx2dxI=∫cos...