||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find «(t). 13 r(t) = t'i+ t®j 30 t3 K(t) V4 + 25 t6

Q: If f(x) = 10x + 4, find ƒ'(10). f'(10) =

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Q: i = √ √ 3x² (x³ + 1)²³ dx, w= x³+1 Rewrite the Function in terms of u

A: The objective of the question is evaluate the definite integral and rewriting the integral.

Q: T Find f(t) = L-¹[F(s)] (a) (b) F(s) = F(s): = 1 (s+ √2)(s-√3) s + 10 s²-s-2

A: a) F(s)=1/[(s+ sqrt(2)) (s- sqrt(3))] b) F(s)=(s+10) /(s2-s-2).

Q: Find F(s). F(s) = £{t(et + e5t)2}

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Q: Find f(t) if 40 F(s) = (s2 + 4s + 5)

A: Inverse Laplace transform

Q: Horizontal asymetote6) Domainoin Interual notalion!

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Q: Find F-7(x) for f(x)= 13 +14x

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Q: A factory can produce R rugs a month based on the function R(n) 4n2 – 7n +58, where n is the number…

A: Consider the given function of number of rugs: Rn=4n2-7n+58 Where, nx=15x+20x Rate change in rugs is…

Q: Differentiate the function f(x) = In(6x7 – 4x) + v2 – e3x. - -

A:

Q: Let 7 (t) = Find 7 (t) デ'(t) =D<

A: r'(t) =d(r(t))/dt

Q: Find F"( F(X) = (x ² + 9

A:

Q: 20) For the the function f(x) 5x-2, find f(4a+ 1) A) a-1 C) 9a-3 B) 20a - 1 E) 20a + 3 D) 9a – 1

A: Given that  f(x)=5x-2 Find f(4a+1)

Q: Q4) Find the linearization of: f(x) = x³ + 10 when a = -3

A: l(x)=f(a)+f'(a)

Q: Estimate L4 and R4 and over [0,7] for the function f(x) = 7x2

A: We have to estimate L4 and R4 in the interval 0,7 for the function: fx=7x2 L4 and R4 denote the left…

Q: ab Q4: Show that if f(x) : then fa - fb = f() b-a

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Q: )

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Q: ||r(t) × r"(t)|| 13 Use the formula k(t) to find k(t r(t) = ei + e¯tj K(t) = %3|

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Q: Differentiate with respect to x,             y = (2x + 1)(3x + 2)

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Q: i) find f (x) given that f(x) = X-2 2x+1) k) Differentiate y= (2x+1 (x-x 1), get your answer in…

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Q: (42) For f(x) = -2r" + 5x° – 12x²5 + 10, the degree of f"(x) is

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Q: 4 Simplify to approximate the sum of the area using right end points. j=1

A: Answer is here

Q: f(x)=−x2−10, find f, of, 2f(2)

A: The objective of the question is to find the value of the function f(x) = -x^2 - 10 at x = 2.

Q: Compute f 2x-1 (x-5) (3x+1)(4x-7) -dx.

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Q: Use the formula k(t) |F(t) × r"(t)|| to find «(t). %3D r(t) = t²i+ t³j K(t) ||

A:

Q: [f^(x) = 1/² + If and f-¹ (5) = 6, find k.

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Q: 1 =44zz_4s + s} s2 -

A: