||r(t) × r"(t)|| Use the formula «(t) to find «(t). r(t) = ti+t'j K(t) =|

Q: Find f. f'(t) 8 cos(t) + sec?(t), -7/2 <t < a/2, f(a/3) = 5 f(t) =

A: Given

Q: f(x) = 2- a, r>0 f (z) =

A: Let y=2-x2.

Q: Find y as a real-valued function of tif y(5) 9, y'(5) = 9. = y = 49y" 140y + 100y = 0, -

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Q: The temperature in degrees Celsius (C) in Toronto starting on March 1** can be represented by the…

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Q: Find y as a function of a if y(0) = 7, y'(0) = 4, y"(0) = 133. y(x) = y" - 8y" -y + 8y = 0,

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Q: x²y" + 3ry – 24y = 0, y(1) = -8, y'(1) = –7. y =

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Q: f(x) COSX f'x) 2.

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Q: Use the graph of f and g. Let p(x) = f(x)g(x) and g(x) 2 (a) Find p'(4). p'(4) = = (b) Find q'(1).…

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Q: AB1: Find g(2), g'(2), and g"(2).

A: Given that gx=∫-2x2ftdt Now we have to find g2, g'2 and g''2 In the interval -2,2, fx=4-x2In the…

Q: At which point is g(t) discontinuous?  g(t) = t^2+2, if t ≠ 1 -2, if t = 1

A: gt=t2+2,  if t≠1-2    ,  if t=1 The given function is continuous for all t≠1, because it is a…

Q: Find all complementary functions of the equation xy" - 2y'=0, x>0 1, x² x₁ x³ a. b. C. d. x, x(Inx)²…

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Q: Find the derivative of f (y) = 8 tan (y) V √y 8 8 √Y y4

A: The given function is: fy=8tany-y8-8y4y As we know that; The Sum/Difference rule: f±g'=f'±g' The…

Q: _____18) Find y' if y= 6+x √4-x²

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Q: Find f. f(t) = f'(t) sec(t) (sec(t) + tan(t)), -2-√2 x Need Help? Read It Watch It - 1/2 < t < 1/₁ (…

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Q: 5 Find f such that f'(x) = - √x f(16) = 49.

A: f′(x)=5x,f(16)=49

Q: 1 For the function f (x) = 2 (x + 4) – 6, find f(x).

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Q: y(t)=(2t-1)(5t-5)^-1, find y'(t)

A: Using Quotient Rule of Derivatives

Q: Find f such that f'(x) = f(x) = 9 √√x 1 f(4) = 48.

A: Integrate both side given function

Q: 2) s(t)=5e" (3r -51)

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Q: x² Find f '(x) for f(x): 24

A: Given that: f(x)=x224

Q: P(t)=12t 4 -6f +=+7 .3 y 3 (x³ +2x +7) (4–x²

A: Given: P(t)=12t4-6t+5t+7y=(x3+2x+7)(4-x2) We have to find the derivatives of the given expressions.…

Q: Find the x-coordinate(s) for the point(s) of inflection f(x) =(3x-2) - 4(2x 1)

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Q: Let f (2) = (4z + 3) (i – 2). What is the real part of the derivative f' (1+ i)?

A: A complex-valued function consists of two parts. The part without i is referred to as the real part.…