Find the unit tangent vector to the curve defined by r(t) = (1t, 5t, = (1t, 5t, √9-12) at t = -2.

Q: terms of real valued functions. 1. di

A: According to  bartleby guidelines we supposed to do the first one of multiple questions kindly…

Q: Find the inverse function of y = g(x) = 5x³ + 5 g¹(y) = √25(x-5) 5

A:

Q: 7. (D³ — 2D² − 5D + 6)y = 0; y = 1, Dy = −7, D²y = 1 when x = 0

A: The given equation is;  (D3-2D2-5D+6)y=0, y=1, Dy=-7, D2y=1 when x=0.

Q: uppose the amount of caffeine (in mg) in a person's body t hours after consuming it is C(t)= 16…

A:

Q: f(x) X 1) Given the graph of f(x) above, use geometry to evaluate each of the following parts below.…

A:

Q: Use the washer method to find the volume of the solid generated by revolving the shaded region about…

A: Given curves y=1 ,y=cosx ,-π3≤x≤π3

Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

A:

Q: Given that f(x) = x² – 15x and g(x) = x + 6, find (a) f(x) + g(x)= (b) f(x) – g(x)= (c) f(x)g(x)=…

A:

Q: A fence is to be built to enclose a rectangular area of 240 square feet. The fence along three sides…

A: A detailed solution is given below.

Q: Find the volume of the solid generated by revolving the region enclosed by the triangle with…

A:

Q: Find the volume of the solid that has a circular disk of radius r as a base and parallel…

A:

Q: Find the number of terms in the sequence or the sum of the sequence as requested. Find the number of…

A: Given sequence, 3,9,15,21,...,81.

Q: List the first five terms of the sequence. an = (−1)n − 1 n2

A:

Q: a) Graph the function f(x)=2x²-7x+5. b) Draw a tangent line to the graph at the point whose…

A:

Q: Q-> using simpson's — Rule, fin d 3 da So x 1+x³ and compare the result

A: The solution is given below

Q: Find the period in degrees, the phase shift in degrees, and the vertical asymptotes (if any): f(x)…

A: Given: f(x)=19tanθ3-90

Q: Evaluate the limit t³ - 1 1 lim t 1 ²

A:

Q: A survey of 255 adults found that during the last year, 60 traveled by plane but not by train, 60…

A: We are required to find how many adults did not travel by any of these modes of transport

Q: Which of the following functions satisfy the given differential equation? y" + 2y' =-y (a) ex D (b)…

A:

Q: M(x,y) dx + (y³ + x2y + x) dy = 0

A:

Q: Find the point-slope equation of the plane passing through the point (-14, 7, -2) and having x-slope…

A: A detailed solution is given below.

Q: 38. f(x) = 5e³; x = 1

A: 38. We have given function  fx=5ex Put x=1 f1=5e1 f1=5e Differentiating function with respect to x…

Q: C(0, 1) R₂ y = √x R3 R₁ y = x³ B(1, 1)

A: Volume ( V ) = ∫abπ( x )2dy

Q: Vectors a, b, and c are given. Determine the vectors (a b)c and (a c)b. Express the vectors in…

A: Given a = i + j b = i - k c = i - 7k

Q: Find the volume of the solid obtained by rotating the region bounded by about the line y = 8 y = x¹,…

A:

Q: Determine the graph of the equation x2+y2−z2=100.  Choose the correct graph of the equation.

A: We need to determine the graph of the equation given by : x2+y2-z2=100

Q: Find the projection of u = i + j + k onto v = 7i+j - 8k.

A:

Q: incorrect

A:

Q: As gravel is being poured into a conical pile, its volume V changes with time. As a result, the…

A: To determine the expression of volume change with respect to time.

Q: (x - 1 when x < 1) (ln(x) when x ≥ 1) a) f(x) has an inverse, how do you know? 1) Let f(x) = b) What…

A: Given function is f(x)=x-1when x&lt;1ln(x)when x≥1

Q: Let R be the region bounded by the following curves. Use the method of your choice to find the…

A: Volume of the region obtained by rotating the region about y axis V = ∫abπ( y )2dx Given y = x y ==…

Q: nd the center of the mass of a thin plate of constant density 8 covering the π gion bounded by the…

A: Please see the below picture for detailed solution.

Q: Given the Lorenz curve L = 2.2x¹ - 3.09x³ +2.09x² -0.2x What percent of the income is held by the…

A:

Q: 4x²-6x+6 2x-1 3. §. dx

A: Topic = Integration Correct answer ∫4x2-6x+62x-1dx =x2-2x+2ln|2x-1|+C

Q: Find the inverse transform of the given function of s. F (S) = 5

A:

Q: Solve the initial value problem using Laplace Transform

A:

Q: Find the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not…

A:

Q: A city has a population of 36,000 people. Over the next five years, the population grows at a rate…

A:

Q: Use the graph to determine the x-values at which f is discontinuous. For each x-value, determine w…

A:

Q: Find a formula for f-¹(x) if f(x) = 1, ≥ 0. 5 x²+1,x

A: To find a formula for f-1x if fx=5x2+1, x≥0.

Q: K First-class postage is $0.34 for the first ounce (or any fraction thereof) and $0.21 for each…

A: Given :- Cx representthe postage for aletter weighing x oz

Q: Logarithm Rules log, xy = loga y log,x": log, b = log, b =

A: Given :logaxy=logaxy=logaxn=logab=logab=

Q: 9-h² 2. lim h 3 h 3

A:

Q: 14. (D³ − 4D² + 4D)y = 0; y = 1, Dy = 2, D²y = −8 - when x = 0

A: Given DE ( D3 - 4D2 + 4D )y = 0

Q: Group the following numbers according to congruence mod 13. That is, put two numbers in the same…

A: Given set of numbers, {−63, -54, -41, 11, 13, 76, 80, 130, 132, 137} To be found : Group the numbers…

Q: Find the arc length of the curve below on the given interval. 3 1/3 4 y= 2x5/3. - +7 on [1,8]

A:

Q: The answer does not match the alternatives. Which would be? a) 3x-2t b) x²+3t² c) 4x-t d) 3x + t…

A:

Q: Suppose that x = In(A) and y = ln(B). Write the following expressions in terms of x and y (so you…

A: To express different log in terms of x and y

Q: Which of the following could be the graph of y = X X X X Check Answer 62x + 59?

A:

Q: Find an equation for the conic that satisfies the given conditions. parabola,    focus  (−10, 0),…

A: