If f(t)dt = 1, S g(t)dt = 3, evaluate (3f(t) + 2g(t) – 5)dt.

Q: s there a formula to calculate:  If A and B are dependent and P (A/B) = 0.35 then  P(B/A) = P (A…

A: A and B are dependent P(A/B)=0.35   we know that, P(A/B)=P(A and B)/ P(B) P(B/A)=P(A and B)/P(A)

Q: - (7)f | dt, then f (z) 1.

A:

Q: If f(x) ' (1 ) cos (x)

A: We have f(x)=xcosx. So,            f'(x)=xcosx'            =xsecx'            =x'secx+secx' x…

Q: iven function

A: In this question, the concept of integration is applied. Integration Integration is a method of…

Q: Evaluate x² + 1 – Vx²2 – 1 dx - Va4 – 1 |

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Q: Find f, (2,0) if f(x,y) = 18x e Y. 1,(2.0) = %3D

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Q: Evaluate f (tcos² ti+1/tj+sec² tk) dt

A: To solve the following

Q: 2) Differentiate and simplify: f(t) = 2et e2t+ 1

A:

Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Given  f(x,y)=8x-2y+5 Find:f(2,-1) Substituting x=2 and y=-1 in the given equation, we get  f(2,…

Q: Find the function r that satifies the following condition. r'(t)=(3t2,4t3,2t); r(1)=(-2,-5,-9)…

A: Given,          r't= 3t2 , 4t3 , 2t  , r1=-2,-5,-9

Q: Find V · (V x F), if F(x, y, z) = 5e*?i+ 9xe"j – 6e²k. V · (V × F) =

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Q: Let F(x) = - [² 2 √t dt. Find F" (2).

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Q: P=S/(S+F) Express S in terms of F and P

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: 1) Find whether the signals are memoryless or memory? a) y(t) = 5x2(t+2) b) w(t) = (t-9)x(t)

A: a) Given signal is: yt=5x2t+2 Substitute: t=1. y1=5x21+2y1=5x23 So, the output at t=1 depends upon…

Q: Find the derivative. |4t +5 dt O A. V4x+5 O B. V4x+5 - 5 2 OC. V4x +5 OD. (ax + 5)/2

A: It is given that, y=∫0x4t+5 dtWe have to find the derivative.

Q: Find the linearization of the function f (x) = a° at a = 1.

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Q: Find xy² Una -dA, R= [0,4] × [-2, 2] x² + 1

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Q: Evaluate: *₁ [²] d -3 [(x²-y²)²] x+y du du dt

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Q: Find f(3,4) for f (x, y) = ln(x + Vx² + y²).

A: We have to find out the derivative