Using Part I of the Fundamental Theorem of Calculus, evaluate: d da 12 to dt =

Q: Integrate and use walli's formula. let x=sintheta

A: Given integral, ∫011-x252dx

Q: Find: L [ t sin h 6t ]

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Q: DERIVE THE FF. FUNCTIONS: )y (x*+x+1)*: FwO y"

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Q: Find tan a. V[?] r (V5, -v7)

A: GIVEN: A figure is given

Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. 29 de ²4 (2t5 - t) ²9…

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Q: Find tan a. V[ ? (V5, -/7)

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Q: S(csc?x - cot?x + sec 2x) dx Evaluate

A: Given,  ∫csc2 x-cot2 x+sec 2xdx

Q: Differential Calculus:

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Q: luate f de using the Cau

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Q: Which of the following pair of functions is linearly independent? (a) e, e(*-3) (b) 4, sin2x+ cos2x…

A: Which of the following pair of functions is linearly independent?

Q: A ball is tossed upward from a tall building, and its upward velocity V, in feet per second, is a…

A: The velocity of the ball is given by the function vt=56-32t. When v is positive the ball is moving…

Q: find the derivative of (2³ + j)² O 23 +j O 223 + j O 625 + j6z² O 325 + j3z?

A: Derivative of (z3+j)2 is 2(z3+j)2-1(3z2+0) = 2(z3+j)×3z2 = 6z2(z3+j) = 6z5+j6z2

Q: Find the analytic function whose imaginary part is v =2xy

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Q: Use the identity 33 = 27 and linear approximation to estimate the value of (2.9). This estimate is…

A: Here we have to find the value of (2.9)³ using linear approximation. For that we use the identity…

Q: Explain the geometric meaning of r'(t).

A: Let the function is given as ,  rt=ft, gt, ht The derivative of the function is, r't=f't, g't, h't…

Q: tan-1 z = 1 – j2

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Q: Use a formula to express w as a function of t if  w =    4s + 9 and s = et − 1.  w =

A: We have given that,  w = 4s + 9 and  s = et − 1 Then,  We will find w in terms of t?

Q: Find all values of x so that v · v = 1, where

A: Given vector, v=12-12x That is v=12i-12j+xk

Q: Evaluate sin 2t dt. t 8.

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Q: y y = r(t) 5 10

A: We will answer the first question since we answer only one question at a time. Please resubmit the…