In the expression n (7) x²3² +3 z" •n is a real number • x, y and z are real numbers greater than 0 Show that n log (xy/z) + logx-logy" + 3 logz is equivalent to 2n.

Q: √√9-y² 9 = L Q (2x2) dz dy dx Зг 2. Give the (upper, lower, lateral) boundaries of the solid S of…

A: simple integration are ...

Q: In how many different, distinguishable orders can the letters of the word algebra be arranged?

A: We have to find the number of ways in which the letters of the word algebra be arranged in…

Q: You are building a cylindrical barrel in which to put Dr. Brent so you can float him over Niagara…

A: Given problem:- You are building a cylindrical barrel in which to put Dr. Brent so you can float him…

Q: es { [ (x² + 5) } 1_7²_

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Q: a body at a temperature of 50°F is placed in an oven whose temperature is kept at 150°F. If after 10…

A: We can use differential equation or Newton law of cooling to solve the problem

Q: EX: Expand fit) = +² o<t<2π in a Fourier Series expansion : Sol: 2L = 2 T qu L = π -41 -2π 4T 27T 21…

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Q: Find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = 3t2 − 4 sin(5t) ℒ{f(t)} =

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Q: The graph of f is given. Use it to graph the following functions. (a) y = f(2r). 0 (h) y = f(x).

A: Topic:- function

Q: P/ by method of variation of Parameters -X find ゾーン Y-Y = e Sine

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Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)

A: Given function h(x)=4xx(x2-9)

Q: possible formula for the trigonometric function whose values are in the follo 0 1 2 3 4 5 6 -2 -5 1…

A: Topic:- function

Q: Gas is $5 a gallon. The vehicle gets 20 mpg. Tech makes $30 an hour. He speeds 15 mph over the speed…

A: Gas costs $5/gal  Mileage = 15 miles/gal  Thus, for every 15 miles he will pay $5 if he is not…

Q: Find the center of the circle whose endpoints of the diameter are (-2, 3) and 2' 2 (4.9) (-4,-2) O…

A: Topic = Geometry

Q: 3- show that the diff. equ. is homogeneous and Salve it (2x +34) dx +(y-x)dy = a

A: In this question we have to solve the differential equation.

Q: 1. Given the function f(x) = 20 √7-x find f (-9). "

A: The given function is: fx=207-x    ...1

Q: For the function f(x) = 2x², find the difference quotient 4a + 2h h 4 a² + h 4 a + 2 h f(a+h) h…

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Q: 00 (-1) 22k+1 k! Determine whether the series converges absolutely, converges conditionally, or…

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Q: Find the general solution and particular solution of this equation. (Non-anonymous question) xydx +…

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Q: O =^P^-^2) TAPE 2

A: Topic:- differential equations

Q: Evaluate the integral. (Use C for the constant of integration.) [5√16. 5√ 16 + ex dx

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Q: Evaluate the integral. √2/2 love 10 x² 1-2 dx

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Q: Sequences and Series 17. Determine if the following sequence is Arithmetic or Geometric. Then…

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Q: Q1: If y=sint and t = sinx, then at x = a) 0 b) c) cosl d) - cosl e) others

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Q: 13. Solve for x. log₂ (2x + 3) = 2 log₂ (x)

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Q: 3. Find the distance between points P₁ and P2. (a) P₁(-1,1,5), P₂ (2, 5,0) (b) P₁(3,4,5), P₂(2, 3,…

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Q: Use multiple application of simpson's 1/3 rule to numerically in- tegrate: f(x) = 8 + 5 sin (x) 0 to…

A: We need to use Simpson's one third rule.

Q: Given: A R= 8√3 1 2 2√3 30° R 4√3 B

A: here right angle triangle is given  so here we apply sine rule to find the R   sinA = opposite…

Q: Find the slopes-intercept form of the plane 9x + 4y + 6z = 24, then graph the plane. * है

A: We have to find the slopes-intercept form of the plane.

Q: S= S stozx 1 secy tan: Sinx cas 2. S

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Q: Q4: Let y=√ and 1= x² then y) = 0 if n= a) 2 b) 3 c) 4 d)5 e) others

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Q: ضوع الشرب Please prove it Sin Cos +1 = 1 + sin Sin + Cos - 1 Cos ##

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Q: x³dx √1+x² (A) / (1+x³)³/² + (C) &n[√x - √₁ + x² + c 31. If I = f- then I equals to - " (1+x³) ³/²…

A: Follow the procedure given below.

Q: 2. [e²y - 2y ycos (xy)] dx + [2ce²y - xcos (xy) + 2y] dy = 0

A: We have to find the solution of given differential equation.

Q: Determine the area of the shaded region. 14r y=7x-x² 12 10 y=x 2 (6,6) 8

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Q: d^x d³x db4 dx +3. -27d²x -62- -24x=0 db³ db² db

A: We are given linear differential equation of order 4. 2d4x/db4 +3d3x/db3 -27d2x/db2-62dx/db-24x=0…

Q: 1- Solve = cos x + y, where y = dy dx 2.0 at x 0 take step size h = Ax= 0.1 and solve for 0 ≤ x ≤…

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Q: The area enclosed between the two curves x² = 2y and y² = 2x is rotated about the x- axis. Determine…

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Q: Suppose ƒ be a function such that fo f(x) dx = 3. Then ² t² f(t³)dt: 9 [Select] Select] 103

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Q: 1. Let f(x) be the cubic function graphed below and g(x) be the quadratic function graphed below.…

A: From the given graph of the region, we have to find its area

Q: √9-22 1. Sketch the region of integration first, then transform Finally, evaluate the resulting…

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Q: d^x 2: +3. db4 3d ³ x db³ d²x -62 dx - 24x=0 db 27. db²

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Q: It is estimated that the rate of change of the population of a certain town will be P' (t) = 4+…

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Q: Use the second fundamental theorem of calculus to evaluate the following: 1 1 + 1 + sin 0 5) de 1 -…

A: Value of definite integration is given.

Q: .2 (a) x² + y² (b) 3x2 + 3y

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Q: L-1 4s - 10 2 S s² + 25

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Q: III. The Auxiliary Equation 1. (4D³-23D³-33D²-17D-3)y=0

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Q: A tire manufacturer estimates that the demand function for their radial tires will be given by P =…

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Q: scalar equation of a line that goes through T(2,-5) and is perpendicular to the line 3x-6y=5

A: Equation of line

Q: For the function f(x) = 2x², find the difference quotient ƒ(a + h) − ƒ(a) h 4a + 2h h 4 a² + h 4 a +…

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Q: 14. Solve for x. 2¯¾ = 8(x-3)

A: Given, 2-x2=8x-3