(c) f(t) 0, sint, -T≤t<0 0 ≤t<π

Q: 8. Find the function Sthat satisfies the given conditions. )S"(=) = sin r – e-2" with S"(0) = } and…

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Q: The line y =x+1 is the tangent line to the graph of the function O (A) f(x) = x³+1 at the point (1,…

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Q: Q: Use the Second Derivative Test to classify the local extremes of the function f(x, y) = 10xye-(x²…

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Q: Find all local maxima and minima of the function f (x, y). f (x, y) = (x2+y2)1/2 Please give a…

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Q: (D²+1)y = Y = seC X CSCX

A: The given differential equation is      (D2+1)y=secxcscx the complimentary solution for the given…

Q: Find all of the critical points of the function f(x, y) = x²y². Can the second derivatives test be…

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Q: Q4: Find the derivative of the function at P. in the direction of A 2) g(x, y) = x - (y² /x)+ J3…

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Q: 4: (1 zero? s) In what directions is the derivative of f(x,y) = (x-y)/(x² + y²) at P(1, 1) equal to

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Q: L{t sin t cos t} = 2s (A) (s²+4)2 -2s (B) (s²+4)² (C) 14) (s²+4)² -8 (s²+4)2 (E) (s²+4)²

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Q: 1/x for x 1. (a) Evaluate f(-2) and f(2). (b) What is the range of f?

A: Here we will find out the required values.

Q: Suppose f(x) = 6t²√1+t³ dt. 1) Evaluate f (2). 2) Evaluate f'(2). 3) Evaluate f"(2).

A: Given that  fx=∫0x6t21+t3  dt Find f2, f'2, f''2 solve fx by substitution method.

Q: Find the intervals where h(x)=x'+24r-168r2 is concave up and concave down. Σ BIU

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Q: Find the equation of tangent line to the curve f(x) = 2 – dt 1+t at the point x = 1.

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Q: Q3) Find the approximate root of the following equation f (x)= cos x – x e* = 0 , on the interval…

A: The given equation fx=cosx - xex=0 on the interval 0.25,0.75 Use the bisection method…

Q: Find f" (x), given f(x) = sec x. O f" (x) = sec³ x tan x Of" (x) = sec a tanz Of" (x) = sec³ x + sec…

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Q: sin(- ). if x+0 Q1: Determine whether f(x)= is of bounded variation on 0 , if x=0 [0,1].

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Q: hup lict funcrion F(xig) = x?y -eto =0 P(e, 1) Find y" (e) = ?

A: Here to use implicit diffrentiation method for solving the problem

Q: ,x € (0, 2] ,a = 0 f(x) = sinx then f (x) dx = 1 3 2.

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Q: 5. Find the points of inflection and discuss the concavity of the function (x)=-8x-2 cos x on the…

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Q: If f(t) = (12 + 7t + 5)(5t² + 4),

A: To  a.find f'(t) b. find f'(3)

Q: Find ƒ if ƒ' (t) = 5 csc(t) (csc(t) + 2 cot(t)), 0 < t < π, and ƒ (7) f f(t) = = -10√/2

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Q: Consider the funtion f(x)= 7x+1/2x-1 a)Determine the simplified first derivative and use it to find…

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Q: Solve using the false rule method f(x) = /x² + 1 – tan x %3D starting at the interval [0.5,1]

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Q: Q1: Find the extreme values of the function F(x, y) = x ^ 2 + n + y ^ 2 +7 Add file o 11:40 A

A: We have to solve it by completing squares.

Q: 27: let f(x) = tan(x)+ sec(x) find f"(x)

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: f(x.y) = xtan(). =tan( ес

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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: -폭 <t<플 f(4): f'(t) = sec(t)(sec(t) + tan(t)), -7 f(t) =

A: We can find the answer as below.

Q: Solve tan? (0) 1 on the interval (0, 7). || 0 = ||

A: