cln x e L L ² L the we Evaluate yez dz dx dy.

Q: give me the solution of   y'' - 2y'- 2y = 0

A: Topic:- differential equation

Q: Printegrating Factors (x² - Sin²y) dx + x sin zydy = o

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Q: ч 4х+5 чу+3 ІІ хр бр -

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Q: Q1:/ Find the general solution of non-homogenous differential equation using Variation of Parameters…

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Q: Evaluate the integral. (Use C for the constant of integration.) 5 [BX 8x √√x + c dx

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Q: dx In the next integral S x√25–4x² substitution is considered 2x = 5sin 0, after performing the…

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Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2,2, -3).

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Q: Find a function y(x) such that 6yy' = x and x and y(6) = 9. y =

A: Topic = Differential equation

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: (c) 2x2(4x6)2 (d) (3x-2)-4-4

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Q: Find the centroid of the region bounded by the semicircle y = √a² -C O (0,5/4a) O (0,4a) O (0, a)…

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Q: 4. 2ydx + (x x³y³) dy = 0

A: Here we have to solve the given differential equation

Q: 18. Evaluate § (9 − x² − y²) dV, where H is the solid hemi- sphere x² + y² + z² ≤ 9, z ≥ 0.

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Q: Find the area bounded by y=e*, y=lnx, x=e, the x-axis and the y-axis. (A) 12.1435 B) 13.1435 12.7834…

A: The region bounded by y=ex, y=ln x, x=e, the x-axis and the y-axis.

Q: 9/Find Parametric equations for the Line that is tangent to the curve r(t) = eti + (Sint)j + In…

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Q: 033 110 A -1 2 3 Assume that AB=A+2B. Find the matrix B.

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Q: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

Q: Write the equation for each requested curve a) Cosine curve with vertical compression of a factor of…

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Q: Use the theorems to evaluate the limit. 1 lim x →∞ X² ||

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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: i. Given that log x=12, log, y = 15 and log, z = 18. Consider the following four logarithmic…

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Q: Find the general solution of the differential equation: y' - 5y = te-2t Use lower case c for the…

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Q: L-1 4s - 10 2 S s² + 25

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Q: In the expression n (7) x²3² +3 z" •n is a real number • x, y and z are real numbers greater than 0…

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

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Q: Find the solution by using Solution of 2nd order D-Es me x ý XỨ Tỷ - xy + y = Lnx -

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Q: and

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

Q: 4. Find the exact length of the curve. π x = 5 cos³ 0, y = 5 sin³ 0, 0≤0≤- 2 Write Answer In…

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Q: A tank contains 400 liters of fresh water. Brine containing 0.3 kg/L of salt runs into the tank at…

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Q: arccot x arctan x arccos x arcsin x arccsc x arcsec x

A: Given that the inverse of trigonometry function  To find the domain

Q: Find the general solution of the differential equation: logS=x+y

A: Given problem:- Find the general solution of the differential equation: log S = x+y

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: y''+2y'+2y=r(t), where: r(t)={10sin2t if 0π ; y(0)=1 ; y'(0)=-5

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Q: Identify the conic section whose equation in standard form is y 2 + 8y - 10y - 34 = 0. ellipse…

A: Topic = Geometry parabola

Q: Describe the x-values at which f is differentiable. (Enter your answer using interval not X ≤ 0…

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Q: Determine the volume generated of the area bounded by y=√√x and y=-x rotated around x=5. 2

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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: Problem 2. Consider the lines 1(t) and r(s) defined below. l(t) = t+ r(s) = 8+ Your buddy Ron…

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Q: 1. Evaluate the given integral Q. y/3 9-y² - 1.² [ord ³* 0 0 0 Q Your answer (1-2) dz dx dy

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Q: Say whether the following statements is true or false 1 x = ²( ² ( ² + 2) = = = √( ²³ sin2t.dt 1. +4…

A: As per the company's guidelines, we are supposed to solve first three sub-parts for you, kindly…

Q: 11. Suppose a population grows according to a logistic model with initial population 300 and…

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Q: √9-2³ x² + y² dy dr into a double integral in polar form. TITE f(x, y, z)dV, where f(x, y, z) = x²yz…

A: We can set up the triple integral.

Q: 1 Determine the volume generated of the area bounded by y=√√√x and y=- 2 A 154/15 B 112π/15 C 128/15…

A: Given; curves y=√x , y=x/2 rotated about x=5

Q: THE LOGARITHMIC FUNCTION A logarithmic function is of the form f(x)= alogo.25(x-1) is represented in…

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Q: Solution: Here f(t) = 24,0 < + <l 0,1 < t <2 Here period of f is 2L = 2 L = 1 ". The Complex Fourier…

A: Given problem:-

Q: 8. The function f(x, y) = x² + 2y + 8y² - 4xy² has stationary points at some of the following…

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Q: 2. For the below ordinary differential equation, state the order and determine if the equation is…

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

A: Solve by integration

Q: Find the area of the region bounded by the parabola y² = 2x2 and the line y = x - 5. 16 17 18 19…

A: Given: y2=2x-2 and y=x-5 Now find the point of intersection between the given curves. y2=2x-2 ;…

Q: Q/ f(x)=√√25-x² theorem at ce[ko], [= -√5 find K and f check the mean Value

A: Given problem:- f(x) =√(25-x2) and f check the means value theorem at c∈ [k, 0] , c=-√5 find k