O O O O O IfE is the solid hemisphere a² + y² +2²5 49 and y 20, set up the integral using spherical coordinates III /2 */2 */2 psin¹ (6) cos² (0) do do do ² sin² (6) cos² (0) dp do de ² sin(e) do do de p² sin² (6) sin² (9) dp do dº pª sin³ (4) cos² (9) dp dó dº

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A:

Q: 3. Find the equation of the tangent to the curve 3xy-y²= 7 at the point (.1).

A: Follow the procedure given below.

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A: topic - Area bounded by curves

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A: Given problem:- Let f be differentiable at x = a a. Find the equation of the line tangent to the…

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A: Given the function fx=x2-2x+4ex

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A: Given that sin α=35 and sin β=1213, with α and β in quadrant I

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Q: 2ss" + (s')² = 0

A: we will solve the differential equation.

Q: TryMaryviar yıvıar Question 9 of 10 Find the equations of the tangent lines to the graph of y=x2+6…

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Q: 2 (D² +8D³² +16) y = - sinx Ans: Y = C₁ cus2x+ C₂ Sin2x + C3 Xcos2x + C4 X sinex-_-_sing

A: Solution of given question is written in below steps.

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Q: lim X+0 2-√ 4-X² x ²

A: We can find the answer by finding the limit as below.

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A: We will find the value.

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A: Given: From the above figure, we need to find x-values where the function has a negative slope. We…

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Q: Find y = (2x²² -6) ⁹ dy اده

A: We can find the derivative as below.

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A: We have to find out derivative

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Q: 4.7 Show that does not exist. lim (x-2)(y-1) (x, y) → (2, 1)(x - 2)² + (y − 1)² -

A: In this question we have to show that limit does not exist.

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A: Answering By observing the figure

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A: To find out the value of f(1) and f'(1).

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A: We need to solve D.E.

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A: The power series fx=ln1-x=-∑k=1∞xkk, for -1≤x&lt;1 we have to find the power series for px=9x8ln1-x

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A: Topic:- application of derivatives

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A: The initial amount P=$5000 Rate of interest r=4%=4100=0.04 p.a. The time period t = 5 years

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A: ∫01∫0xf(x,y)dydx

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A: