c2 0 < x< a, 0

Q: Q₂ / let then find X Y f(-2) 9 S f(x) dx 3 17 2 -> 1 5 10 f (11) f (3.2), f" (3.2) 5 -3 7 9 f funda…

A: As per guidelines,we are supposed to solve first 3 subparts only.I have given 4.

Q: そっ tax)= x-3x- Finel (t-'j'(-1)

A: Inverse of function y= f(X) is defined as the  X = f-1 (y)

Q: Find the first and second derivatives of the function. f(x) = f'(x) = f"(x) = Identify the intervals…

A: Given function, f(x)=x2+x2

Q: = f(x) g(x) If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = y 6…

A: The given graph of the functions is shown as,Let,Note:  As mentioned in the instruction, we are…

Q: x² iy? Find points where f'(z) exist x+y Given f(z) %3D x+y

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Q: 10) Suppose F(x) = | (1² – t)dt for all real values of x, then F'(4) = %3D (A) 12

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Q: 4 - Let y = f(x) = (a) Find f-'(y). (b) Solve the equations f(x) = a for a = –1,0, 0.5, 2, 3.7, T,…

A:

Q: Question 1 (10 Marks): Calculate of given function f(x,y) = ye**. əx²əy³

A: Definition used -       Partial derivative -             In partial derivative, we differentiate…

Q: Q4: Find the derivative of the function at P, in the direction of A 2 1) f(x, y) = 2xy-3y², P.…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Pregunta 3 If f and g are functions that satisfy f'(2) = 3 and g'(2) = -1, find h'(2) for h(x) =…

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = (x2 - 2x + 1) eX B) (x2…

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Q: y=f(x)=x' - 4x +10 find the interval that f(x) graph is concave down. O A) (2, infinite) O B) (0, 3)…

A: Given that the function y=f(x)=x4-4x3+10 Find the interval such that graph of the given function is…

Q: 6- y = f(x) 5. 4 3. y = g %3D 2)

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Q: Find the partial derivative dz for the function z = cos(x³ +y²).

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Q: + If x? = x-y then, y *+y

A: Given  x2=x+yx-y first we multiply each side by x-y x2x-y=x+yx-yx-y     by dividing  x-y from x - y…

Q: If f(x) f' (æ) = (x2 + 5x + 2)°, then f'(3) =

A: To find f'(x) and f'(3)

Q: 8(x) 48. f(x) 2 - x' In Exercises 51–60, show that f(g(x)) = x an dom x - 1 g(x) of 51,fx) = 2r + 1,…

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Q: dy 2²+1 Use the quotient rule to find the derivative of the function y = dx О А. dy 1 = 2x(x+ V) –…

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Q: 4x Let f (x) Then the derivative of f is %3D 1 + 4* f'(x) = A(1 + 4*) – Bx(4*) In C where (1 + 4*)D…

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Q: 12) Let f(0) = -5, g(0) = 6, f'(0) = g(0) = -1. If h(x) = f(x) g(x), find h'(0). 13) With f, g as in…

A: To find h '(0) for the defined function h(x).

Q: 2. At what points of R² is the function continuous? (sin(x² + y²) x² + y² f(x, y) = 0, -, if (x, y)…

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Q: f(z)=ze^tz/z^2+1 for this function find the Rez(f(z),i) and Rez(f(z),-i) .

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Q: 7x Let f (x) : Then the derivative of f is %3D 1 + 5* f'(x) = A(1 + 5*) – Bx(5*) In C, where (1 +…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.