( (am (39) + ce (39) sin (39) - ar (3) dy 3y)) sin² (3y) – tan² (3y)|

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A: Sine Laws : asin A=bsin B=csin C

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Q: 6. Write an expression equal to log3(4) + log,(5) |using at most one log. 7. Give one example a that…

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Q: Solve the system of differential equations - 12x + 8y y' = – 10x + 6y a (0) %3D — 10, у(0) — — 13…

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Q: If g(x) is differentiable at the point x and f(x) is differentiable at the point g(x), then f{g(x)}…

A: If g(x) is differentiable at the point x and f(x) is differentiable at the point g(x), then f{g(x)}…

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Q: 7. Let f(x,y)=9-x² – y² a. Find the maximum value of the directional derivative at the point (1,2)…

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Q: the area of the region. 4 y = y 5- 2 1 5 10 3.

A: Topic:- application of integration

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Q: ind r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). r(t) 클리 - 5j + 6 (a) r'(t) (b) r"(t) (c) r'(t) ·…

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Q: Question 5 3 Consider the function f(x) = Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

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Q: Find V· (V × F) if F(x, y, z) = 4 sin ci + 7 cos(9x – 10y)j + 10zk. V · (V × F) =

A: Given F(x,y,z)=4sinx i+7cos(9x-10y) j+10z kTo find∇·(∇×F) first we need to find ∇×Fwe know that ∇×F…

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Q: 2. Give the domains for the following functions where: 1 f (x) = and g(x) = V4 – x 1 (i) (ƒ og)(x)…

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Q: Solve the differential equation. f'(x) = 10x – 12.3 f(3) = 2 -

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Q: Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (V2 - V1, Vị + V2,…

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Q: Find div F and curl F if F(x, y, z) = 13y'2*i – 11x°z®j – 7xy°k. %3D div F= 0 curl F=|(-35 z y³ + 99…

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Q: Find dy/dx. x = Vt y = 9-t %3D dy dx

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Q: Let f(x) be the function 2a² – 4x + 11, Then the quotient f(2 + h) – f(2) - can be simplified to ah…

A: The equation of line between two points;(4, -3) and (-3, 0)f'(4)=0+3-3-4=-37passes through (-3,…

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Q: (a) rªr- (b) y2 (c) e-4z+3e7z=3 ,71–3 (d) In(ez)

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Q: Question 22 Solve the problem. Calculate the area of the parallelogram with v = (-6, 0, -6) and w=…

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Q: 1. A navigator wishes an aircraft to fly W22°N with a groundspeed of 300km/h. There is a 60km/h wind…

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Q: Evaluate the following improper integrals. Tell whether it is convergent or divergent. 1.

A: The given integral,     ∫1+∞dxx

Q: 4. Use the definition of integration to find (1+2x' ) dx , that is find lim f(x; )Ax

A: