5. Suppose that f (x) dx = = 5, f (x) dx = -3, g(x) dx = -1, and g(x) dx = 2. Compute | (2f(2) – 59(2)) d.

Q: Ex. Find the general solution to dy 1 -2.x dx X -

A:

Q: 3.b) Evaluate the DE * 3x(xy – 2) dx + (x³ + 2y)dy = 0

A: Given that: 3x(xy-2)dx+(x3+2y)dy=0

Q: In(x²+x)-Inx-elnx dx In(e(x+1)

A:

Q: Inx+ 1 dy If y = then %3D 2x3 - 3x' will be dx (2x – 3x) + 1) – (In x + 1)(6x² – 3) А. (2x³ – 3x)² -…

A: Use the formula of differentiation of fraction of Two functions in same variable.

Q: Find G'(x) In(8) (4e 6t 1) dt G(x) х G'(x)

A: Given:

Q: x²V4x +1 dy then dx If y = In (x³ + 5)3

A:

Q: d If g(x)=- -S*[e' - In (21+1)]dt, find g(x) Se dx 4 A (2x+1)² 4 B e+ (2x + 1)² Ⓒe* -In (2x+1) 2 D…

A:

Q: Compute if df = 2 and dx du dx = 6.

A: It is given that,

Q: 2 4 Evaluate Sx dz dy dx 3

A:

Q: In t+1-2 dt, if we let V Vt+1-2, then dt is equal to A (4x³ + 2) dx B) None 2(x²+2)dx D 4x³dx 4x…

A:

Q: - (64 – 2²) " - dy dx %3D

A: Solve the initial-value problem for y as a function of x.     64-x2dydx=1 , y0=6

Q: If y = 3 then dy/dx = 4+x O -6x/ (4 + x² )2 O 3x/ (4 + x² )² O 6x/ (4 + x² )2 O -31 (4 + x? )?

A:

Q: б бу-гу2 -14-292 y dx dy

A:

Q: Answer what is required in the problem. d 1 -dt 1+t dx .17

A:

Q: Find a ≤ b such that

A: ∫abx2-9dxApply the Sum Rule:…

Q: If y = (x+-) (2x – 3), then dy will be dx a (2x+) + (x = 3)(1 +) G++)(e - x2) + (; ++) = A. (2x +=)…

A: Given that                          y=x+1x2x-3

Q: 4- Determine an expression for dy/dx. 3(y-2)3– x= 4x - 6.

A:

Q: 6- Find ify dy t2 and t = V2x +1 dx t2+1 dy A): 2 dx 4(x-1)2 dy B) dx 2 2(x-1) dy C) dx (x-1)2

A: We can do this by chain rule or by putting value of t in y y=t2t2+1put…

Q: If y = e Oe3 Oe 3x X² O 2e3 O 3e³ then dy dx at x = 1 is

A: To find derivative of given function at x=1

Q: In +1- 2 dt, if we let V Vt+1-2, then dt is equal to t+1– 2, then dt is equal to A) None 4x³dx ©…

A:

Q: If y = u² + 6u - 2 and u = 4x² + 8x + 1. Find dy/dx.

A:

Q: 2. Find (x) which satisfies (4e y − 1)dx + e dy = 0. O p(x) = e¯² + 5e-4x O p(x) = 3e e-4x O p(x)…

A:

Q: In t+1-2 dt, if we let t+1-2, then dt is equal to A 2(x2+2)dx (в 4x³dx O 4x(x2+2)dx D None E…

A: Option C is correct.

Q: 32. Find of In(7x² - 3x + 1). dx 14x-3 dy A. = dx C. = 7x²-3x+1 dy 1 B. = dx D. = 7x²-3x+1…

A: To find out the derivative.

Q: 2. Suppose f(x) dæ -5 and f(x) dx = 6. Compute 2f(x)+ (3x – 4)² dx.

A: Answer is 41 Explanation is given below

Q: If y=(6U2-7)3 and U=(9-2x)5 then find dy/dx and evaluate when x=5.

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Q: 4. If Kx)dx = k, ] fx)dx = (x-f(x) )dx what is the value of Ax)dx? Use: [Ax) - g(x) ]dx =[ fx)dx-J…

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Q: 4. Compute (a)음(3e2-4) dx (b) 4 dt dx-x 1+t2

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Q: 2. Suppose that . f(x)dx = 9 and S g(x)dx = 4. Find the exact value of 2f(x)dx.

A:

Q: x2 + 2x + 4 dx 3-Jx– 1)(x² + 2x + 1)

A: Convert rational function into partial fraction. And than integrate function.

Q: d Show that In dx 1 (a) x+2 x* +3x +2 1 (b) Hence find the exact value of dx in simplest form. r*…

A: iii.a. Quotient rule of differentiation states that ddxfg=f'g-g'fg2 Chain rule of differentiation…

Q: In t+1-2 dt, if we let V Vt+1-2, then dt is equal to 4x(x²+ 2)dx B (4x³+2)dx None D 2(x²+2)dx E…

A: To find out the dt.

Q: 2 If "IF(x)dx=6 and frox)dx=7.50mm [rodr then f(x) dx = 5

A:

Q: Inx+1 dy will be dx If y = then 2x3 – 3x' (2x³ – 3x) +1) –- (In x + 1)(6x? – 3) А. (2x³ – 3x)² (2x3…

A: Using derivative rule of (u/v),

Q: 15. If x = t^2 -1 and y = t^4 - 2t^3, then, when t = 1, d^2y/dx^2= O 1/2 O 1/5 0 1 O 3

A: This is a double derivative in parametric form the two functions are x=t2-1y=t4-2t3 Now…

Q: find dy/dx of the following:

A: Please refer to the image below

Q: d ** If g(x) = [e² – In(2t + 1)]at , find g" (x) dx A ex- In(2x + 1) 4 ex - (2x + 1)2 B (c) none of…

A:

Q: ,1 .-2x +5 Evaluate | 3x 10-4x - 2y dy dx 25 3 25 26 7 27 5 28 3

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Q: 4. (a) Find (b) Hence evaluate d dx √1+x² X S (1+x²)³/2 dx.

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Q: - 3-z2-y 2. Evaluate L* L z dz dy dx -5+x²+y²

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Q: 4-compos dx dy 5-find dry if f(x, y) = xe xe 6- find (x²³/2)

A:

Q: 5. fx² In x dx

A: See the details solution in below

Q: 1. Solve (6re",x0 b. [3cos 2xsin 7.xdx

A: here we have to evaluate  a) ∫-11w(x)dx if w(x)=6x2ex3,x≤035x-3 , x>0b) ∫3cos2x sin7x dx

Q: 1 1 Evaluate f dz[ dx [ e dy. бе/3 (бе-б)/3 О бе-6 6/3

A:

Q: 4. Compute the following: (a) e dx -1 d (Ъ) dx f'(x) dx a

A: 4.(a) The objective is to find the value of ∫-11edx

Q: If S x²+x-2 (x2-1)(2x-x²) dx AS + Bf f(x) dx + D f g(x) dx, then x dx can be resolved into A ...

A:

Q: 3x 6 1 -In xy dx e-In √x dx +dy +=dx = e-mxx y X

A:

Q: dx 4√/3x-x² 5³-

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Q: - (In(In(Inx))) dx (A In(In(Inx)) B xlnxln( Inx) xIn(Inx) D x(Inx)²

A: Given ddx(ln(ln(lnx))) Formula: ddx(ln x)=1x Differentiating with respect to x,…

Q: -1 x-x2 dx -8 2도 1423 1521 22 20 Option 1 Option 2 1425 1523 22 20 OOption 3 Option 4 None of the…

A: Given problem:-