Find r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). 1 t³ k 2 r(t) = 3t²1 – 3tj + 2 (a) r(t) (b) r"(t) (c) r(t) r(t) ● (d) r'(t) x r'(t)

Q: Calculate r' (t) and T(t), where r(t) = (2t - 7,2 – 5t, 3 + 5t). r' (t) = (2 T(t) = -5 5

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Q: If ƒ(t) = (t² + 6t + 7) (7t² + 2), find f'(t). Find f'(2).

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Q: Determine the value(s) of x where the tangent to g(x) = (x + 5)(x2 - 1) is parallel to y = -7x - 8

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Q: Express f(z) = x-1-iy (x−1)² + y² in terms of z.

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Q: If f(x,y)=xe/2+118x?y, then asf at (1,1) is equal to əx²əy³

A: Given function is: f(x,y)=xey22+118x2y3 Derivative of function with respect to 'x'…

Q: (d) r'(t) x r"(t)

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Q: 3.) Given y=5* (2, 1)? which of the following shows the equation of the line tangent to y at the…

A: To find the equation of the tangent line to the curve   at the point .

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) × r"(t). P(C) = 21²1 - 48 + ²P²H 2³k r(t) 3 (a) r(t) 3it…

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Q: Your used Chevy’s gas mileage (in miles per gallon) is given as a function M(s) of speed s in miles…

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Q: dy (y2+In2)=-(23+) %3|

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Q: Consider the following function. H(x, y) = In(8x² + 3y²) (a) Find fxx(2,3). (b) Find fyy(2,3). (c)…

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Q: L=2-36X, y'co) =5, and ylo)=S x)

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Q: 4. (D2 – 5D + 6)y = 15sinx – 15cosx -

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Q: 10. In writing a function in the denominator and its derivative is in the numerator, which of the…

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Q: If f(t) = (t² + 6t + 7) (7t² + 4), find ƒ'(t). Find f'(2).

A: INTRODUCTION A function's differentiation can be used to display the rate of change of a function at…

Q: 10. (D² – 3D) y= 9x² = 9x2

A: 10) Given Information: Given differential equation is D2-3Dy = 9x2

Q: CLX 5) Let f(x)=√√x³- 4x + 1, f(3) = 4, find (f¹)'(4).

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Q: Given that: f(-3) = 2, f'(-3) = 4, g(-3) = 9, g'(-3) = 7, calculate the following: (fg)'(-3) =…

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Q: goo3D 4X Sxt7

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Q: g(x,y) = sq root of (5xy - 3x) find gx and g

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Q: Find r'(t), r"(t), r'(t) •r"(t), and r'(t) x r'"(t). r(t) %=D 흑래- 26j + 하하k (a) r'(t) (b) r"(t) (c)…

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Q: Q3 Find f-(x) for the following : 1- y = Jx-3 2- y = (2x³ + 1)'/5

A: For finding the inverse, we will replace x with y and y with x

Q: Let y=y(x)=2(√x)⋅f(x) and suppose f(4)=2, f′(4)=-2, find y'(4)

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Q: Find the slope of the function F(x) = √√x+1 at the oint (8,3) And find the equation of the tangent…

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Q: Given that f(x) = 4x+9 and g(x)=x°, find (fo g)(-5). (fo gX-5)-

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Q: aff (² Find (3x + 2y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0}

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Q: Differentiate the function. h(t) = √√t - 7et -6 (F) h'(t) = -7e² =-- (1) t

A: The given function is: ht=t7-7et   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power…

Q: Is the equation t²y' (1) t + 4 - separable? y?

A: t2y't=t+4y2