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Q: Q2/ A/ plot the function Z= 3(1-x) e-x²-(y+1)² – 10(x – x³ – y5)e-x²-y² _ ! e-(x+1)²-y² where…

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Q: * +(x) = 3x6-4 (x-k)² +17, the value of the parameter k for f(x) to be a function pair IS?

A: For f(x) to be a function pair  it needs to be one-to-one, which means that each input value must…

Q: Let f (*= {(8) +f(9) for real values of x and y. If f '(0) exist 2 2 and equals –1 and f(0) = 1,…

A: Introduction :

Q: Ify (*+)(2x- dy -) (2x – 3), then will be dx

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Q: 2) (2xy = y² + y) dx x) + (3x² - 4x4 :) dy = +3×

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Q: y =x3 dy Itx² -

A: Note  You type wrong Question here in place of dx/dy must be dy/dx  I solve it using dy/dx otherwise…

Q: Show that ⊢ (x > 0) y = x + 1 (y > 1)

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Q: Sketch c(t) = (t^2 − 4t, 9 − t^2) for −4 ≤ t ≤ 10

A: Given c(t)=(t2-4t, 9-t2)    ; -4≤t≤10

Q: S Sifoo-gool dx O d2 (f.g) = Sup {/fox) - gox|} V£₁9 € [0₂4] if d, (fig) = Find Ⓒd₁ (√x,x) @d₂…

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Q: {In(æ² + xy+y³)} Find

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Q: Differentiate. f(x) = In In dx (5x + 2)(x+7)3 (1-6x)6 (5x+2)(x+7)3 (1-6x)6

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Q: Use synthetic substitution to find f(2) and f(- 1) for each function. f(x) = x ^ 3 - 5x ^ 2 - x + 6

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Q: 2. A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is…

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Q: Differentiate the function f(x) = In(6x7 – 4x) + v2 – e3x. - -

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Q: F"(x) = 6-18x, 0) = 9, 2) = 11 F(x) = 4x -3 +Ox+9 3p3 O Tyne h

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Q: Find y': O 2(x + 1)(x + 2) ○ (x + 2) (3x + 4) O (x + 2) (3x + 2) (3x + 4)(x + 1) y = (x + 1)(x + 2)²

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Q: Q.1) Show that the function u = 3x²y+2x² – y³ – 2y² is harmonic. Find the corresponding analytic…

A: It is given that ;         u = 3x2y+2x2-y3-2y2 And we have to show that u is harmonic  and to find…

Q: 2y*+1 dy 3

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Q: Determine y'of (3x + 1)*(2x – 1)³

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Q: (b)* Show that Y' is closed.

A: Actually we shall show, closure of the set = the set. Then this set will be closed.

Q: Find y as a function of a if y(0) = 8, 3/(0) = 8, "(0) = 25, "(0) = 0. y(x) = || (4) 10y" +25y"=0, 1

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Q: x³ + x 10) √ (x²+ + 2x² + 5) dx

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Q: why does F(r(t))=-r/(1+(a-1)t)^3/2 instead of r^3? does |r| just equals to 1+(a-1)t?

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Q: 3-2 7) 6 – z*

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Q: Compute for the possible root of the function f(x) = x4 - x³ - x? - 4 in the interval [-2, -1]. Use…

A: The equation in the form f(x)=0 is called a transcendental equation. If the function is continuous…

Q: (xdx ydy + zdz)2z {(z²x²y²) (xdx + ydy + zdz) dz + %3D

A: Differential equation

Q: verify by differentiation

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Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: ∫(4y-3)(16y^2+12y+9)dy

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