Find the average value of the function f(p, ,0) = p over the solid ball p ≤7. (Simplify your answer. Type an exact answer, using The average value is as needed.)

Q: (c) Evaluate 0 √3x - x² dx.

A: Given: I=∫033x-x2dx   As we know that; ∫cosax+bdx=1asinax+b+C

Q: Lim x sinx x→ 0+

A:

Q: dy 9 Find the general solution of the differential equation: - dt t Use lower case c for constant in…

A: Here we have to find the general solution of the given differential equation,  dydt-9t·y=t5 Compare…

Q: What is the value of C?

A: We have to find the value of C.

Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

A: From Newton’s Law of Cooling, we know that: T(t) = Ts + (To – Ts) e-kt Where, t = time, T(t) =…

Q: 4. 27x³ − 9x¹ +3y¹ -23x² +13x -7 = 0

A: Find out the derivative of the function.

Q: 2. The Minimum point of y= 8x+4 (x-2)²

A: To find the minimum point of y=8x+4x-22.

Q: So 0 Evaluate the integral, if it exists. exc 1+e2x dx

A:

Q: Question 2 Given a differential equation as d²y-5x dy +9y=0. dx² dx By using substitution of x = e'…

A:

Q: If ye cos x 8 lnx, find f'(x).

A:

Q: Find the volume generated by revolving about the line y-2=0, the area bounded by x^2=8y and the line…

A:

Q: (a) The total surface area of an open cylinder is 27 cm³ given that radius, rcm. i. Show that the…

A: Given that; Total surface area of am open cylinder is 27pi cm^3. Radius r cm.

Q: Vx(A x B)=(B-V)A-B(V-A)-(A-V)B+ A(V-B)

A: Solution

Q: Question 2 Given a differential equation as d²y_4x² dy x² +6y=0. dx² dx By using substitution of x =…

A: The given equation is a cauch Euler equation. So we solve the given differential equation with…

Q: it was estimated that constructing a fence for a project could be done by 11 workers in 15 days. at…

A: Let 'n' be the number of workers. Let 'd' be the number of days required Let WT be the work done…

Q: 4. Find the general solution to each of the following differential equations. (a) 2xy² - 1 +…

A:

Q: In a polynomial, a number in front of the variable is called exponent. صواب ( خطأ

A: Given ,  In a polynomial , a number in front of the variable is called exponent  We have to tell it…

Q: 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108…

A: Given that the width of the sheet is = 4108 inches. On each side turn up 108 inches. So the length…

Q: 14) x² + y² - 4x + 24y + 144 = 0 16) x² + y² + 10x - 14y+ 25 = 0

A: Solution is here

Q: An airplane is moving horizontally at 150 mph over an observer at a height of 4,000 ft. How fast is…

A:

Q: SOLVE THE FOLLOWING PROBLEMS SHOWING EVERY DETAIL. ENCLOSE FINAL ANSWERS. dx xy+3x-y-3 1. Find the…

A:

Q: (3x² + 5x-2) dx

A:

Q: 2. (D³6D2 + 12D - 8)y = 0

A:

Q: Calculus Question

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Q: (2x³-9x²+2) dx from x = 6 to x = 11

A: Given: ∫2x3-9x2+2dx   from x=6 to x=11

Q: 12. Find the standard form of the equation of the hyperbola with the given characteristics.…

A: Given problem:- Find the standard form of the equation of the hyperbola with the given…

Q: Read the instructions first, then plot

A:

Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

A: Given ,  A stone dropped in a pond sends out a circular ripple whose radius increases at a constant…

Q: Question 2 Given a differential equation as करवर d'y dy dx² +6x +6y=0. dx By using substitution of x…

A:

Q: 은 J4-√x dx

A: This question can be solved using integration by substitution.

Q: a Identify the type of sequence presented in the table. b. Write an explicit Formula for the…

A:

Q: 3. f(x)=(5x² - 4x³ )³(secx + tanx)³

A: Given; f(x)=(5x2-4x3)3(secx+tanx)3.

Q: Question 1 A body cools from 75°C to 70°C in 2 minutes. What will additional time (in minutes) it…

A:

Q: 6. Find 0²y of z = In(xy)

A: We can find the partial derivative as below.

Q: Lim x-0 et - 10t

A:

Q: 15. Ssin (In x) dx.

A: If  u and v are function of x then the integration of uv by parts is given by…

Q: (4x+5y=-3 5x+4y=3} x=-3 and y=3 x=3 and y=-3 .B x = -3 and y=-3.0 ( x=3 and y=3 DC Solve this system…

A: we have to find solution

Q: 2,2 5 (2x² – 3x)dx

A: We can solve the definite integration as below.

Q: 3. General solution of (x²y³ −1+2) dx + x³y²dy = 0

A:

Q: C) Determine the area of the shaded region about the x-axis.

A:

Q: {4x + 5y = -3 IS: 5x+4y=3} x=-3 and y=3 A O x=3 and y=-3 .BO x = -3 and y=-3.00 x=3 and y=3 DO Solve…

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Q: Estimate the value of 82^(1/4)

A:

Q: e slope of the line parallel to 6y + 2x=8 is 0.3. صواب خطأ

A: Topic:- geometry

Q: If A = 2x²,-3yz, xz² and qp = 2z - x³y. Evaluate A Vop and A x Vp at the point (1, -1, 1).

A:

Q: Find the Jacobian ə(x,y,z) / ə(u,v,w) of the transformations below. a. x=3u cos v, y=5u sin v, z=7w…

A: We want to find Jacobian.

Q: Which of the following statements is an exponential function? A y=14x+2 (B) y=(6x)² Ⓒ y=(2x+5)3…

A:

Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

A:

Q: SOLUTION

A:

Q: Question 1 A body cools from 60°C to 50°C in 5 minutes. How much more time (in minutes) will it take…

A:

Q: Expand the quotient by partial fractions. x²+3 x² - 13x+42 ²+3 x²-13x+42 (Simplify your answer.)

A: Given :x2+3x2-13x+42