Find the vector component of v = (4, -1, 7) along b = (4, 8, -8) and the vector component of v orthogonal to b. Enter the exact answers. The vector component of v along b is ( The vector component of v orthogonal to bis ( ).

Q: Find the absolute extrema of the function on the interval [0, ∞). (If an answer does not exist,…

A: Given:       fx=9x+1  f'x=ddx9x+1           =9ddx1x+1            =-9x+12

Q: Let s(t) = 4t³ - 12t² v(t) = = 180t be the equation of motion for a particle. Find a function for…

A: Given: s(t)=4t3-12t2-180t

Q: V (2) Evaluate showing all steps the indefinite integral fet (In evaluating the integral you dt may…

A: The given integral is 1/(1+et).

Q: The carbon monoxide level in a city is predicted to be 0.02x3/2 + 1 ppm (parts per million), where x…

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Q: (3) Evaluate showing all steps the definite integral ₁ (1 - 1²)-¹/² dt.

A: Answer (3) We have to Evaluate the definite integral  ∫01(1-t2)-1/2dt

Q: f(t) = = 1 2 √t + 2, (t+5), t≤0 0 1

A: The given function ft=1,t≤012t+5,0<t≤1t+2,t>1 We have to check the function is differentiable…

Q: 3 f(x) 4 X + 3 3 X³ - 2 √x

A: Dear student as per bartleby police we are allow to solve one doubt as a time. Please repost other…

Q: f(x) = x +2+1 202

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Q: f(t) = { t + 1/₁ 0 <t <2 2 ≤ t ≤ 10

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Q: II. Determine the point(s) of intersection, m, and m,, and the angle(s) of intersection of the given…

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: Consider the following. 4x + 3 x + 1 Find the critical numbers. (Hint: Check for discontinuities.)…

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Q: Consider the differential equation x +T=e* with 7(0) = 1. What is the approximate value dx of T(2)?

A: Given, xdTdx+T=ex with T0=1 We have to find the approximate value of T(2).

Q: For y = 1/x^2 , use differentials to approximate the change in y when x changes from 4 to 4.125.…

A: Topic- differentials WE are given y=1x2and x changes from 4 to 4.125and we know thatddxxn=nxn-1

Q: =1+²+ + 3x + 9 Find the critical numbers. (Enter your answers as a comma-separated list. If an…

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Q: If f(x)=x+8 and g(x)=6x^(2), find (f+g)(x) and (f+g)(2) By definition, if f and g are two functions,…

A: To find out (f+g)(x), (f+g)(2).

Q: dT Consider the differential equation x +T=e* with 7(0) = 1. What is the approximate value dx of…

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Q: xdy = x² + 3y dx 4) X (linear equation)

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Q: dy dx For the equation +7x²y = 0, y(0) ==, the value of y(1) is 3,

A: Given :dydx+7x2y=0

Q: 2-4 - 10 i. What is the domain of g? b. Suppose g(z) ii. What is the range of g? Preview Preview no…

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Q: Draw the graph of y₁ = e2t on top of y2 = 2et. Which function is larger at t = 0? Which function is…

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Q: Which of the following is the general solution of xln x+y=lnx²? Jhy y = lnx + C C y = ln x +- In x…

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Q: x) = C 5x² tan r sec x find

A: We have to derivative of given function

Q: In Exercises. , use an iterated integral to find the area of the region bounded by the graphs of the…

A: According to our guidelines,i can solve only first please reroute the remaining question.

Q: Consider the following function: (x+1)² if x ≤3 -2x+22 if x > 3 f(x) = x) = {(x + 1)² Determine if…

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Q: 2. Find the solution of the given initial value problem. y" - 6y' +9y = 0, y(0) = 1, y'(0) = 2.

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Q: A) 3.14 B) 3.19 C) 3.23 D π dT Consider the differential equation x dx of T (2) ? +T=e* with T(0) =…

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Q: 2. Use the Method of Lagrange Multipliers to find the minimum and maximum values of the function…

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Q: Find the transform of the given function by use of a table. f(t) = 3e-4t sin 5t A B C D E F (s) =…

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Q: (e) lim I→∞ /9x4+3x+2 4x³+1 (f) lim [2x] x- 8. Verify each limit using the definition of limit. (a)…

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Q: Find the derivative dy/dx by implicit differentiation cos(xy) = 1 + sin(y)

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Q: A B -3 -2 2 3 The non-zero value of n for which the differential equation (3xy² + n²x²y) dx + (nx³ +…

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Q: For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t.…

A: Recall: T(t)=r'(t)r'(t)

Q: Let a = ci + j and b = 16i + 12j. Find c π so that the angle between a and b is 6

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Q: A ball is thrown upward from the roof of a school, 16 m high, with an initial velocity of 20 m/s.…

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Q: Find all relative extrema of the function. See Examples 1, 2, and 3. (If an answer does not exist,…

A: The given function is hx=-x+73 we have to find its relative extremum. Use the derivative formulas,…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Suppose that the height of a particle is given by s(t) seconds and the height is measured in meters.…

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Q: questions

A: *Note: As per policy only first question is answered. Question 4. Given: G(z) = (z-6)lnz

Q: -6 5 ÚT पं -3 5 4 3 2 - O 26 بنا -4 -5 -6 2 m 5 6 x Use the graph to estimate the slope of the line…

A: We will use the graph to select some points on graph and then find the slope.

Q: Find the derivative of the function. y = [x + (x + sin² x)514

A: Derivative of function y=x+x+sin2x54

Q: Marginal profit. The profit, in thousands of dollars, from the sale of x thousand candles can be…

A: Marginal profit. The profit, in thousands of dollars, from the sale of x thousand candles can be…

Q: Find all relative extrema of the function. (If an answer does not exist, enter DNE.) 1.9 g(x) = x² -…

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Q: Find the parametric equation for the line where the planes 2x - 2y + 8z = 24 and 10x − 3y + 6z = 18…

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Q: For items 17-19, suppose f, g, h are differentiable functions at a=3 with the given function values.…

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Q: (4) Find the area between y = 2 sin x, y sin 2x, x = 0, and x T. Sketch the region.

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: A B Which of the following is the general solution of 2- y secx = y³ tanx ? dx secx+tanx = (secx +…

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Q: −2+7(14-7)²+(−3−1)

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Q: Find the transform of the given function by use of a table. f (t) = 5t sin (5t) + e-5t cos (t) A B…

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Q: Line 1: 3x - 5y = 15 Line 2: a line perpendicular to 3x - 5y = 15 that contains the point (3, -5)…

A: solution is given ...