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

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Q: Q3) for f(v) = sec2(3v – 1) and g(v) = tan?(3v – 1) show that %3D %3! f'(v) = g'(v).

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Q: Fird the inversc trons frm of ; F (5) = sz+ 25

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Q: Let y = 2x + 2 and t = x + 1.What kind of variation do y and t have? Explain.

A: Given: y=2x+2t=x+1

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A: Given, y=sec-1x

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A: we use Trigonometry substitution

Q: Apply Uptimal obtain y, y₂₁ and y for the pr 3

A: given y'=t+2y h=0.1 and y0=1 to find the y1,y2,y3 proceed as follows Apply Runga Kutta 2 order…

Q: Q3/ By using definition, proof that cot x = - csc2 x. dx

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Q: Q.1B) If w = f(u,v) where u = tan"12 &v=In(x² + y²), the show that: dw Х- +- дх дw dw <-2- ду ду

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Q2: Prove that: d csc-(InVx) dx -

A: The main objective is to prove ddxcsc-1lnx=-12xlnxlnx2-1. It is known that ddxcsc-1x=-1xx2-1.

Q: of e dydx

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Q: Q3/ By using definition, proof that cot x = - csc? x. dx %3D

A: In this question we will use basic of calculus i.e concept of differentability. Solution of the…

Q: Isint t this equal to-. f(t) will noy+"|72 7 74155 = (+) JT W 17 750)

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Q: Eactor of (xy? +

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Q: f(t)=5 sec²(7 Tt – 3)

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Q: e where r is jiven peu'ametor! Fnd f'6).

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Q: |Q3/ By using definition, proof that d cot x dx - csc? x.

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Q: dx Evaluate: V4-x² Tt/6 T/2 T/3 None of the choices

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Q: f(t) = tcosh2t + t?sin5t + t3

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Q: F.ds, W by the pl

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Q: Prove that : V.(V×A)=0

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Q: (c) Will it always be true that W C X f(W) S (X)?

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Q: d. y =x (n* + e*)6

A: Given that, y = x (πx + ex)6 And we have to calculate the differentiation of the given function,

Q: Plot z = sin(r)/r with r = Væ2 + y?, -8 < x < 8, -8 < y < 8.

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Q: +y ntegral %% 0 0

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Q: What is the tangent of 0? 6 D 6V11 11

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Q: Q3) for f(v) = sec2 (3v – 1) and g(v) = tan?(3v – 1) show that %3D f'(v) = g'(v).

A: Notice that  d/dx (tanx) = sec^2(x) d/dx(sec(x))= sec(x)tan(x) Please see the explanation below

Q: ex g. y = In ex-1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: d²y Given that x3 + y³ = 2, prove that 4x dx² y5

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Q: Do you think the S f(x)dx is positive, negative, or zero? Explain.

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Q: Find the tangent of 2S. R 719 Q 757 (14/19 Write your answer in simplified, rationali tan (S) =

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Q: Find curlF for F = xyz?i+ x*yz?j+ x*y?zk.

A: Given, F→=xyz2i→+x4yz2j→+x4y2zk→ Used formulas, ∂∂xxn=nxn-1

Q: Q3/ By using definition, proof that cot x = dx csc2 x.

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Q: 2. f(t) = (t + 2)² et %3D

A: We need to find Laplace Transform of , f(t) = t + 22et We know Laplace Transform is given by , Lf(t)…

Q: is Substitute for +4 X = 2tano and dx= 2 Secodo %3D

A: Given integral is ∫x3x2+4dx Substitute for x=2tanθdx=2sec2θdθ

Q: Find of r when

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Q: Q2. Evaluate by “by Parts" method 3 Va tan-1 Vxdx

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Q: 14. Find a) fesin2xdxb) f dx, using the substitution x = 2 tan0.

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Q: Given f(x, y) = x® + 3xy4 – 2y°, find f-(x, y) = fy(x, y) =

A: If f(x, y) is a function then, fx(x, y)  is differentiation of f with respect to x making y variable…

Q: Q1/B: Evaluate: (a) tanh-1 0.75 and (b) cosh-1 2.

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Q: af when s = 1,t = 1 for f (x, y) = x³ – 3xy - 6x + 6y ,x = 2t + s, y = 2s – t. a) Find as

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Q: Find dy/dr if y = r In(x). Answer:

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Q: T/2, 1) S7[tan³x + tan³x]e=tan²x %3D 1/2

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Q: Differentiate v1 +x² with respect to r.

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Q: x ER that satisfy the

A: As per the bartleby guidelines for more than one question only one has to be solved. Please upload…

Q: Find Vf(x, y) if f(x,y) = e** cos y ..... ...

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