(y^3 - x^3) dy = (3y•(x^2) +1) dx Solve exact diff eq

Q: 1. Write a formula for f g h 2. Find the value of x [2x 31[¹3] = .f(x)=√x+1, g(x)=(x) -

A: 1) The given functions are: f(x)=x+1, g(x)=1x+4, h(x)=1x

Q: 9(x) f(a) -10-9-8-7-6-5-4-3-2 The graphs of f(x)-- Ox-Intercept O Vertical asymptote O Range O End…

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Q: Find the general solution for the following Second Order Deferential Equation: d²y Q4: dx² - y = ex…

A: The given differential equation is;  d2y/dx2 -y=ex+x2.

Q: 51 b. Determine the gradient of the following function at Po h(x, y, z) cos xy + e + ln zx, Po(1, 0,…

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Q: State whether the following pairs of planes intersect. If the planes intersect, determine the…

A: Let's solve.

Q: Determine whether the series converges. O The series diverges. O The series converges. 00 Σ k=1 k…

A: We can solve as follows

Q: Solve for y at x=2: (4x^3 - 6yx^2 + 2xy^2)dx + (2yx^2 - 2x^3)dy = 0; y(1)=4

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Q: b- 2π -50 1 (1+tan²0)3 do

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Q: Example (2): Find area shown in the figure bounded by (y = x²), (y = -x) and (x = 1).

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Q: What is the order of (y")^3 + 2(y)^5 = 7 · 2 0 1 O 3 O 5

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Q: Find an equation of a plane containing the following 3 given points P, Q, and M: P (3,-1, 2) and Q…

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Q: Find the solution of the given ODE. (6x² - 7y2) dx - 14xydy = 0 2x³ - 7xy² = C 3x² - 14xy² = C O…

A: Given problem:- Find the solution of the given ODE.   (6x2 - 7y2) dx - 14xydy = 0

Q: The following data set involves logarithmic growth. X 0.8 2.1 6.5 12.2 29.7 34.8 y 5.1 9.0 13.5 16.0…

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Q: d- d³y dx3 d²y +6 dx² - Q.2-Solve the differential equation 15 - 100y = 0 dy dx

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Q: 6X-1 4X+1 X+7< 6 OX<-89/2 (-∞, - 89/2) O X<- 89 (00,- 89) O X<-2/89 (-∞, -2/89) O X<∞ (89/2, ∞) 8

A: x+7&lt;6x-14-4x+16x+7&lt;6(6x-1)-4(4x+1)4×6x+7&lt;36x-6-16x-424x+7&lt;20x-1024Multiply 24 on both…

Q: ху 2x — 9 = 0; x = -3 =

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

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Q: A new product has just come onto the market and is a big hit. The success, however, does not last…

A: This question can be solved using the concept of maxima and minima.

Q: 2. f(x) = 4x5 + 3x² - 7

A: To discuss the continuity of the given function. To give the intervals in which he function is…

Q: Find the slope for f(x,y) = xeyat P (2,0) in the direction of the line from M(2,0) to N(-1,2)

A: We have to find slope

Q: Solve the differential equation. 3. (6x + y^2) dx + y (2x – 3y) dy = 0

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Q: x" x² - y² lim (x,y) (0,0) x² + y² 2

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Q: Solve the differential equation. 11.    ( 2xy – tan y) dx + (x2 – xsec^2y) dy = 0

A: The given differential equation is; (2xy-tany)dx+(x2-xsec2y)dy=0.

Q: Find the general solution of the given ODE dy x + 2y - 3 2+y−3 = dx (x + y)² = C(x + y − 2) Option 1…

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Q: A research lab recorded the decay of a radioactive substance. The data table shows the amount of the…

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Q: Suppose that a product currently sells for $24, with the price increasing at the rate of $5 per…

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Q: olve the following exponential equation algebraically. 3(2-1) = 215 press you answer to the nearest…

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Q: 11. Describe as many equivalent conditions as possible for a given vector field F is a conservative…

A: Given : F→ is conservative.

Q: 2|6x + 4 ≥ 1 OX - 7/12 O-7/12 - 12/7

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Q: The height of each rectangle is given by the value of the function, f(x) = 5x − x2, at the…

A: Explained below

Q: f(x) = 5x + 2

A: Given.

Q: H Suppose that f(5)= 1, f'(5) = 3, g(5) = -5, and g'(5) = 2. Find the following values. (a) (fg)'(5)…

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Q: Graph the function. f(x) = -x²+2 Plot five points on the graph of the function: one point with x =…

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Q: Graph the function. g(x)=3x²-1 Plot five points on the graph of the function: one point with x = 0,…

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Q: 4. Evaluate the integrals below. relevant triangle in your work. | | (1 (1 + tan²0)² de (b) 1…

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Q: Given the matrices A ING B 3 4 the matrix X in the equation A (X + 3B) = C. 148.9 X = 9 and C= - [-3…

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Q: -3 Given the matrices A 7,4 3 0 for the matrix X in the equation X (A - 2B) = C. X = B -6 7], and…

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Q: In (x-2)² In sketching y determine the intersection of the curve and the horizontal asymptote. None…

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Q: ,)= 2 . Determine the equation of the tangent to the curve where x=0. Oy=-1+x Oy=-x+1 Oy=1 O None of…

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Q: (2z +5, z 5 From the following results, determine whether the function f(z)-10, conclusion. (1)…

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Q: Solve the differential equation. 8. x ( 3xy – 4y^3 + 6) dx + (x^3 – 6x^2y^2 – 1) dy = 0

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Q: Solve the following system of equations using an inverse matrix. You must also indicate the inverse…

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Q: Solve the given differential equation by separation of variables. dy dx e³x + 4y =

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Q: xsin (y) + ycos(x) = 1

A: To find the derivatives of the given functions.

Q: Determine whether the series converges. O The series diverges. O The series converges. Σ k In(k + 4)

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Q: 3. g(x) = (2x - 1)³

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Q: Each of five students made a different statement about the graph of y= 0.5 log x.

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Q: 4. Let X: +3 if x < -2 if -2<x< 1 h(x) = {x² -x+2 if x2≥1 a) Find the following limits if they…

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Q: Solve for y + In lyl at x=6: y'=(yx^2 - y)/(y+1); y(3) = -1 4.5

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Q: Answer the questions below about the quadratic function. g(x)= -3x2 -12x -13 Does the function…

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