x2+x-2 dx If S (x²–1)(2x-x²) dx can be resolved into AS+ B ƒ f(x)dx + D S g(x)dx , then Lif(x)dx – g(x)dx may be written as

Q: 2) f(x) = xx| - T <x<T Ans. Odd

A: the given function is  f(x)=xx

Q: С 20 3x-1 хр. -X (3+3 (2) j² dx a Лх lo XS хр sự X Сў-12.d:

A:

Q: (f + g - h) (x) f(x) = x + 4 g(x) = 2x2 + 2x h(x) = x² + 1 %3D O x2 + 3x + 5 3x2 + 3x + 5 O x2 + 3x…

A: We use the sum and difference of functions to answer the given question.

Q: fx=å (3in (x*ry)-x2) %3D fy = Ly(31n (x*+y)-x2) %3D d fe-(3in (x*ry)-x2)

A:

Q: f (x+h)–f(x) ,h+ 0 h fx) = -10x + 3h - 12h f(x) = 6xh + 3h - 5h O ) = 6x • 3h -5 fx) = 6x + 3h + 5

A: Let's find.

Q: 1. f(x) = 2x+5x-3x+4 B(x) = x-2x-1 f(x) +s(x) =

A: 1. f(x) + g(x) = x5 + 2x3 + 3x2 -3x +3   2.  f(x) - g(x) = -x5 +2x3 + 7x2 - 3x +5

Q: Choose the formula for finding the slope m of a nonverticalline that contains the two distinct…

A: Given two distinct points.

Q: 2 Find [f(x) + 5g(x)]dx if 2 |f(x)dx = 8 and / g(x)dx = -1. -4 [f(x) + 5g(x)]dx = i -4

A:

Q: [5 < x < 8} 15<y<8S° f(x, y) = x² – 12x + y² – 8y on -

A: Given on . For global maxima and minima find the value of in given square region.

Q: 2 + x², -2 < x < 0 f(x)dx; f(x) TX + 2, 0<x<4 21 -2

A:

Q: x2 + x-2 dx If J +B f(x) dx +D g(x) dx, then dx can be resolved into + B (x2 – 1)(2x- x2) 2 f(x) dx…

A: We have given indefinite integration with respect to x. While solving the indefinite integral, we…

Q: 2x-3 3. Let f(x) = 3x+4' ,find Y as Ax -0 Ay

A:

Q: A-l1* Px = \* F« = X*(\E – 1)-' Px 1 = A*. X(1+A) – 1° -Pk 1 (1 A - 11+ XA/(A – 1) 1 1 X- 1 (A – 1)²…

A: We have to explain Binomial expansion :

Q: problem in the photo attached

A: Your answer to the first question is correct. I will still demonstrate it, before proceeding to the…

Q: x+x-2 dx If S (x²–1)(2x-x²) dx can be resolved into A S+ Bƒ f(x)dx + D ƒ g(x)dx , then

A: Using partial fraction to solve the problem.

Q: 2 f(x) = x² 3x+4 we have f(2) · find fixed point of fee

A:

Q: -2 1 Find / f(x)dxif / f(x)dx = 2 and 3 -2 3 fro f(x)dx - 6. 1

A:

Q: y+- 2x3 + If- 1 +== xy then , y' Vy x+- 2 то FO * 2.1 x-1 The f(x) = Undefined at x = -3 3-x T O FO

A:

Q: f(z) = 4x2 + 5x – 3 g(1) = 4x3 - 3r²+ 5 %3D %3D Find (f - g)(r). O A. (f – g)(x) = 4r - 7x² – 5x + 8…

A:

Q: f"(x) = 20x3 + 12x2 + 4 with the initial conditions f(0) particular f(x). = 8 and f(1) = 5. Det

A:

Q: 3) g(x) = x + 2 f(x) = x³ + 4x Find (g · f)(x) А) бх* - бх3 + бх? - бх 2x + 4x2 – 8x 4) f(x) = x² –…

A:

Q: 6x 24x - 6x is g'(x) = * is R'(w) = 4. The derivative of g(x) (2-x)2 4w5+4w3-6w²+3 2-x 5. The…

A: 4) Given:       gx=6x22-x      g'x=6·ddxx22-x                =6·ddxx2·2-x-x2·ddx2-x2-x2…

Q: (a). f(x,y)= ln(2xy-11), 1 (b). f(x,y)=- √√16-x² - y² (c). f(x,y)=√√9-x²-y².

A:

Q: Need answer for C

A:

Q: g(x)dx = 12, f(x)dx = 18, g(x)dx = 7, and | f(x)dx = 10 %3D Given -1 -1 -1 Evaluate | 8g(x) + 3dx

A: We have to evaluate: ∫-138gx+3dx where ∫-17gxdx=12, ∫-17fxdx=18, ∫-13gxdx=7, ∫-14fxdx=10 Separating…

Q: 16. Using integration by parts to solve 2√4x²+k A. -√4-x² + k √4x²+k -2√4x²+k B. C. x³ dx √4-x² and…

A: Given: ∫x3dx4-x2

Q: f(x-1) e-2x+x² dx = O 1 -2x+x² e 2 2e-2+2x+C 2e-²x+x² + C e-2x+x² + C + C

A:

Q: X - X (x -x* Y (r-F)} (x-X{r-F) Y-F 2 4 3 6. 6. Compute: X = Y = E(X-XXY-Y)- N-1 B A = Y - B*X = 2.…

A: The table is given as follows x (x-xbar) (x-xbar)^2 y (y-ybar) (y-ybar)^2 (x-xbar)*(y-ybar) 0…

Q: 3 f (x) dæ = 4, | f (x) dx = -6, and | (2) dz = 12, If and f is an even function, find 3 f (3x) dx.

A: To find limit( 1 to 3) f(3x)dx

Q: dy If = 3x² – 1 and if y= -1 when X=1 then y= dx (A x³ +1 B -x3 +x-1 © x3 – x+1 D x3 - x-1

A:

Q: (2x² - 2x 4 B) For what values of k and h is y={ k + 2x 2 + hx2 - 2 < x<-1 - 1<x< 2 2 <x<4…

A: B) Given, y=2x2-2x-4, -2≤x&lt;-1k+2x, -1≤x≤22+hx2, 2&lt;x≤4 and also continuous at x=-1, 2.  We have…

Q: -2 27. The first derivative of y = is (4x+1)3 а. -24 b. 24 C. -6 d. (4x + 1)* (4x + 1)* (4x + 1)*…

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Q: 1 Let f(x) = 5x° - 9x - 3, x2 1.5. Find the value of - df at the point x= 1271 = f(7). dx

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Q: Find the first and second derivatives a) y=((4x^3)/3) -x +2e^x b)y=6x^2-10x-5x^-2

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Q: f(x)= s-1)² - 1

A:

Q: x")' = a xa-,(x)'=1 and (constant )'= 0. %3D x+2 Using Quotient Rule (£)' = f'g-fg') x-1 A) 2x/…

A:

Q: Q2:- (x²-9 A) f(x) = |X # -3 x+3 -6 x = -3 Is f cont. at x =-3 ?

A: We can concept of limit in order to solve the given problem.

Q: 5 Find (f(x) + 5g(x)]dxif -5 5 5 | f(x)dx = 8 and g(x)dx = -4. -5 -5 5 f(x) + 5g(x)]dx = i -5

A: The given integral values,∫-55fxdx=8 and ∫-55gxdx=-4

Q: 11-3x Determine f dx x+2x-3

A:

Q: x-e -2r -dx x²+e-2« *2(x-e-2«) A x²+e-2r xp- – 2(x-e-2x) dx x2+e-2r B -2x 2+e =21 dx x²+e-2¢…

A:

Q: X₁ + X₂ Q2: Let X₁-G(4,3) and X₂G(2,3) by mgf find dist. of Y=X₁ +X₂. ===

A:

Q: f(x) = 1- 2x and g(x) = 1- x. Find (fo g)(x). %3D 4x - 1 2x 4x 2x - 1

A: Given  f(x)=1-2xand g(x)=1-x

Q: 02. Find the end behavior for y = x–9x+20. A. x + +0, f(x) → +∞ ; x → -o, f(x) → +∞ B. x → +0,…

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Q: -3x2 — 16х — 16 x + (-4) f(x) = 4x2 + 23x + 28 С, X = (-4) What value of C would make f(x)…

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Q: f(x)= x^3-9x^2-4 and a=3. Find df^-1/dx at x=f(a).

A: f(x)= x^3-9x^2-4 and a=3. Find df^-1/dx at x=f(a).

Q: f(1-3/x)dx3= X +2x/x + C X-2x ex2+1 of X-2x/2 x(1-2/x) +C x(1 לx-

A:

Q: 5 If f(x)=g(x)+3 where 2<xs 5, then [[{(x)+g(x)]dx = 2ſ8(x)+3.

A:

Q: 19.yf(x) = 2|x – 1|; f(-2). f(0), f(¿). f(2), f(x + 1), f(x² + 2)

A:

Q: x+7 (c) lim r→-7 Vx +11 - 2

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: