If cot (x) V3 for x in the interval -T, 0 then sin(x) | a) V3 2 O b) - 1 2 c) V3 2 || ||

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A: Given  z = e-t ( sinx + cosy)∂z∂x = e-t cosx,   ∂z∂y = e-t ( -siny ),  ∂z∂t =- e-t (sinx + cos y )

Q: 2. If f(x, y)=x² sin y-y cos.x-xe - ye" +5x°y°, show that ô²f _ ô²ƒ ôxôy ôyôx

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Q: A V3 sin-' (xy/2), Po(1, 1), 12. h(x, y) = tan (v/x) + A = 3i – 2j

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A: NOTE: Refresh your page if you can't see any equations. . ...................(1) substitute…

Q: 2. (a) Let f(x, y) = x² sin(x + y), find 잃 and 잃.

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Q: a) f(x) = 3x + 5; interval [1,2]; %3D W = 10 interval ; 11m- b) f(x) = sin x;` %3D W = -1 2' 2

A: To verify the IVT for the specified function f, the interval a, b, and the indicated value w.a…

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Q: If f(x) is odd and ∫-1 to 5 f(x)dx=11 then, ∫1 to 5 f(x)dx=?

A: It is given that f(x) is odd and

Q: a. Let ƒ(x) be a function satisfying 0 ƒ(x) 0 … x2 for -1 … x … 1.Show that ƒ is differentiable at x…

A: The differentiability of the function can be determined with the help of the left-hand derivative…

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A: Given: (x2+3x-4)y'''-tan(x)y'+exy=7, y(-1)=1

Q: In the interval [0, pi], find the absolute extrema of: g(x) = ex sin x - sin x + cos x

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Q: f(t) = cos(t/2) - sin(t), in the interval of [-T,1].

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Q: Given, f (x, y, z) = sin (x²y – z)+ cos (x? – yz). Find fz. cos (x²y – 2) – sin (x² – yz) - cos (x²y…

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Q: given sin -In\x+ y + 19| Ax, y) = V18 – (x + 11)² – (y + 10)² sketch domain p(-11+ v7, - 10) is…

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Q: 2) Proof that If y = f(x) = = cos x then dx sin x

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Q: -2,2] R, then show that the function sin for x 0, f(x) = for x 0, aly continuous.

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Let a > 1 be a constant and y = (9e- sin z 3) In(x+a). Find y'(0).

A: Product rule of differentiation:…

Q: 3. Show that (i) r(x)T (-x) =- (ii) r T sec TX x sin TX

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Q: h(z) = e sin z – sin z + cos z

A: This problem based on application of derivative.

Q: 4) If F(x)= } d, then F'(x)- sin t

A: Note : According To our guidelines we can solve only first question and rest can be reposted.Thank…

Q: Find the max and min values on the given interval for #3 and x+5 3. у %3 [-3,3] 16-x2 T- 4. у %3D…

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Q: Consider ∫ x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?     3/8…

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Q: 1. Find the most general f(r, y) obeying öróy - sin(x)y.

A: As per guideline we can solve only one question you can repost other questions in next question

Q: It is given that f(x) = tan (1 +x). %3D Find f(0) and f '(0), and show that f "(0) = -

A: We know thatddxtan-1x=11+x2

Q: If cot(x) - V3 for x in the interval [-T, 0] then sin(x) = a) 1 2 b) None of these c) v3 2 O d) _ 1…

A: We have to find the value sin(x)

Q: 7. Let f(x,y)= a) T 2 xsin y-y, find sin x+y Simplify and give exact value

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Given f(x,y,z) = cos(3xy) + sin(3z). Find f:(5,5,0).

A: This question is based on Partial derivatives.

Q: (b) y=sec x, y = tan x, x = 0, x =1

A: Refer to the figure shown below:   The (grey) area bounded by the given curves is revolved around…

Q: If f(x, y)= cos(x +y), then- (+: O a. - sin (x + y) O b. - cos(x+ y) COS O c. cos(x+ y) O d. sin (x…

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Q: 10. Find all the values of a in the interval [0, 27] such that f (a,=) - fxx (a,=) = 0 for f(x,y) =…

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Q: 1. Find f(x, y) obeying = - sin(x)y and f(0, y) = }(y +2)². %3D %3D

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: sin z coS T Q1-Solve by hospital rule lim

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Q: interval of [0,1].Fig. is shown below y - tan (x) -2 -2 - In v2 sq. units 4 O b

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Q: Let f(x) Then f'(x) = 3 sin x 6 sin x + 2 cos x m = The equation of the tangent line to y = = f(x)…

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Q: If f(z) = (x² + 2) sin(x), what is f'(z)? O f'(x) = 2x sin(x)+ (z² +2) cos(z) O f'(x) = x sin(T)+…

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Q: f cot (x) - V3 for x in the interval -T, 0 then sin(x) - Oa) None of these O b) V3 2 c) –! d) V3 2…

A: We have to find the value of sin x.

Q: If f(x,y,z)=In(x²y+sin?(x+y))+111x112y2z113, then at (1,1,1) is equal to əx²əyəz

A: We have to find derivative

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A: To find the local and extreme value of f(x) = x + sin x, [0, pi] f'(x) = 1+cos x f'(x) = 0 1+cos x =…

Q: f(x) = 4 sin(x) + 4 cos(x),    0 ≤ x ≤ 2? Find the local

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Q: Q 7 Find the interval where cos x = x° has a root. (HINT: use the Intermediate Value Theorem).

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Q: Limit as t goes to 0 of    (t^3+3t) / sin (5t)

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