Let r(t) =ti +t³j +tk The normal component of acceleration is an = 6t/2/V9t4 + 2 а. b. an= 4t/2/V9r* +2 c. an=2/2/9t4 + 2 d. an=2t//9t4 + 2 e. an=t/2//9t4 +2

Q: Differentiate 2 Y = t² + 5÷t² - 4t² + 3 Y' = ?

A:

Q: 4) y = e3r* dy A) 12x dx B) dy 3* . 12x³ = e dx dy 3x e C) dx D) dy „3x* - 1 . 12x = e dx

A: Given below the detailed solution

Q: What is the equation of the normal line to the curve x2 + y? - 6x- 2y=0 at (2,4)?

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Q: Compute the derivative:

A: Given, ddx∫0x4+t6 dt

Q: Consider the following position function. Find ​(a) the velocity and the speed of the object and…

A: This is required solution. May this help you.

Q: Detemine whether the differential eguation iš linear of nonlinear and qve reqsons- Ox*dy txdy= Sinx…

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Q: Find the dy/dx if y = x2 + 3x +1 and x = t2 + 2. A) 4t3 + 14t2 B) t3 + 4t c) 4t3 + 14t D 4t3 +t

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Q: Differentiate f (t) = 4e0.05t - 23e0.01t

A: Solution  Given the function as,  Use chain rule for exponential function as follows: Also,…

Q: the linearization of (fi,f2) = (x²y+ 3xy², 3x³ + 2xy) at (1,0) to approximate the value at…

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Q: (c) Compute the derivative of u = Vt² +2vt³.

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Q: (c) Find A fo given that fo = 79, f1 = 120, f2 = 150, f3 = 190, f4 = 201, fs = 218, f6 = 250, fr =…

A: We know that  △fi = fi+1 - fi ∆2fi = ∆fi+1-∆fi and so on

Q: Find the equation of normal to the function f(x) = x³ - 3x + 1 at its local maximum point.

A: The objective of this question is to find the equation of the normal line to the given function at…

Q: Find the differential of y = = sec 4x + csc24r %3D O dz (8sec 4xtan4x- 8csc 4xcot4r)dy %3D O dy =…

A: Explanation of the answer is as follows

Q: The average rate of change of the constant on the line at the points P(-1, 2) and Q(9, -13)…

A: Average rate of change can be calculated as follows:

Q: Find the derivatives of the functions in Exercis

A: The given function is q=2r-r23.

Q: Calculate the derivative of the function. Then find the value of the derivative as specified. 6. V12…

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Q: Differentiate. V(t) = (t + 7e')/t %3D 3 7/)eIn(e) + v7 * V'(t) = 2

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Q: Show that A Yk= V' Yk+r

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Q: Suppose f (x) = dr=AV5- 3x +C, for constants A and C, what is the value of A? %3D If V5- 3x

A: Integration

Q: Normalize (z) = 3f2(x) +2f3(x). You can think of functions being 0 beyond the [0, L] interval, where…

A: Simple Linear Scaling:If f2(x) and f3(x) are linear functions that map the [0, L] interval to [a, b]…

Q: Q3/ (A) The relationship between stress r and the shear strain rate y can be expressed by the…

A: Equation :  ? = μγn  ? = stress γ = shear strain rate  n = 5  We have to calculate values of μ and n…

Q: The temperature in a room is given by T = 5z + 5y? - 22. The direction of the maximum rate of change…

A: Given that T=5x2+5y2-z2 And, ∇T=∂∂x,∂∂y,∂∂z5x2+5y2-z2=10x,10y,-2z At point (2,3,1),…

Q: 3y2+6xy+4x2-2y=5 find 25 times the slope of the normal line at P(-2,1)

A: The given equation is 3y2+6xy+4x2-2y=5 It is asked to find 25 times the slope of the normal line at…

Q: Find the derivative. |4t +5 dt O A. V4x+5 O B. V4x+5 - 5 2 OC. V4x +5 OD. (ax + 5)/2

A: It is given that, y=∫0x4t+5 dtWe have to find the derivative.