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

Q: For the function f, use composition of functiol 7f(x) + 7 Substitute f (x) = 6. 6. 7x-7 f(x) = 7x+…

A:

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: Find your answer below

Q: 3 | (16t3 – 12t? + 6)dt

A:

Q: Use Part I of the Fundamental Theorem of Calculus to find the derivative of the function. 8(x) = f…

A:

Q: 1)" Given: In(1+ x) = > if x < 1. n + 1 n=0 1. Find the Mlaclaurin series for f(x) = x ln (1+ 3)

A:

Q: [1 ㅇ 1 Let A = 0 -1 %3D Lo ㅇ -1] a. Compute A² and A3. b. What is A1019

A:

Q: For the function f(x) = 4x° – 4x* + 3x° + 6x² +6, find f''(x), the third derivative of f, and f4)…

A: The given function,        fx=4x5-4x4+3x3+6x2+6

Q: Activity 1.2.3. Consider a moving object whose position function is given by s(t) = t², where s is…

A: We need to find average velocity.

Q: Evaluate the integral using the following values. 8. 8. x dx = 960, х dx %3D 24, 8. dx = 4 4 х dx 4

A:

Q: The antiderivative of the function 6. + 8x is. x2 f(x) -6 + 16.0x² + c -6 4.0x? + c - 6 4.0x2 + c -…

A: Solving

Q: Find f''(x) for: f(x)=ln⁡x/4x

A:

Q: Suppose f( – 1) = 3, f'(– 1) = 6 , and g(æ) = x°f(x). The tangent line to g(x) at x = 1 is given by…

A:

Q: Consider the region R in the first quadrant bounded by x^2 + y^2 = 4, y = x and y = x/sqrt(3). (a)…

A: The given region is bounded by: x2+y2=4,y=x,y=x3

Q: Solve 4 + 3log(2x) = 16.

A:

Q: Problem3. Solve 4 + 3log(2x) = 16. %3D

A: We can solve the equation as below using properties of log.

Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. Please…

A: Law Of Sin: Let ABC be a triangle with lengths of side BC=a, AC=b,AB=c then, sinAa=sinBb=sinCc

Q: Determine the way in which the line [x, y, z] = [2,−3, 0] + k[−1,3,−1] intersects the plane[x, y, z]…

A:

Q: The telephone calls to a U.S. Congresswoman's local office between 9:00 AM. and 12:00 noon are…

A: On solving this we will get

Q: Problem #3 Find intervals on which f (x) = -3x² + 54 In x is increasing and decreasing

A: Topic = Function

Q: 4 + 9x x2 The antiderivative of the function f(x) is

A: Solve the following

Q: 2 For the function f(x) = find f"(x). Then find f'"(0) and f'"(3). 1+x f'"(x)= | O

A:

Q: Consider the points A(1,-1, 4), B(2, –3, 2), C'(-1, –2, 2), and D(4, 3, -6). (a) Find the volume of…

A:

Q: The enclosed area between y= 2 x and y= 6/x is evaluated by

A:

Q: The antiderivative of the function f(x) = x2 + 9x is. -5 + 18.0x? + c -5 4.5x? + c -9 + 2.5x² + c -5…

A:

Q: WRITTEN WORK Q1-2.1.1 WRITTEN WORK TITLE: Evaluating Limits with Graphs WRITTEN TASK OBJECTIVE: The…

A:

Q: 4. The base of a painting on a wall is a feet above the eye of an observer. The vertical side of the…

A:

Q: cerve X= Si▪ (Zt), y=Gs(±t), them dvaw the Culve

A:

Q: The equation of motion of a particle is s = t – 12t, where s is in meters and t is in seconds.…

A:

Q: Use the method above to find the distance from the point P(-3, 1, 2) to the line through A(1, 1,0)…

A:

Q: (3) Find all p ER so that 3n² + 2n +1 n2p-1 + 137 n=1 converges. As always, your answer must be…

A:

Q: 2. Write z = -ói in polar form. O z = 6cis= 2 O z = 6cis- Oz =-6cis- 2 Oz = 6/2 cis 37 2 3. Write z=…

A: Let, z= 6 (cos(π/2) +isin(π/2))  or, z=6cis(π/2)

Q: Consider the geometric series 2n+1 Σ 25 (-3)" n=0 a) I: i What is the first term of the series First…

A:

Q: Suppose we know that the power series )an(x - 8)" converges for x = 4. What other values of x n=1…

A: we will use ratio test to check convergence of power series.

Q: Suppose that a company makes and sells x phones per week, and the corresponding revenue function is…

A:

Q: The cost, in dollars, to produce x designer dog leashes is C(x) = 3x + 7, and the price-demand…

A:

Q: Find the area inside both curves. r = 2+ sin(20),r 2+ cos (20)

A:

Q: Question 3 Let R be the region whose boundary C has parametrization r (t) = (cos t) i + (sin t) j, t…

A:

Q: Use a limit of Riemann sums to evaluate the definite integral. 4 | (32" + 0) dz lim n 00 Σ lim Σ %3D…

A:

Q: Problem2. 3–2x Solve e = 4. And then: 1. Leave your answer in exact value. 2. Round your answer to…

A:

Q: Sketch the region bounded by the given lines and curves. Then express the region's area as an…

A:

Q: -) If A and Bare 3 x 3 such that det A = 3 and det B = 2 } Find, if possible, the value of det(A²…

A:

Q: Problem2. 3–2x Solve e = 4. And then: 1. Leave your answer in exact value. 2. Round your answer to…

A: Given: e3-2x=4

Q: Find the terms through degree 4 of the Maclaurin series of f. Use multiplication and substitution as…

A: For given function we have to find out Maclaurin series upto degree four .            f ( x ) = (1 +…

Q: Function:

A: answer is in next step

Q: 2. Find the arc length of x =t?, y = (6t +9)2 from t = 0 to t = 4.

A:

Q: The antiderivative of the function f(æ) 6. + 8x is. -6 + 16.0x? + c -6 4.0x? + c 6 + 4.0x² + c -6 +…

A: We have to find the antiderivative of the function f(x) = 6x2 + 8x

Q: The data and graph above show the number of hours of daylight in Richmond VA for specific dates…

A: This is  a problem related to trigonometric function general equation. Based on the given graph we…

Q: 9. Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded…

A:

Q: The value C for the solution of the initial value problem f'(x) = x³ – 7x + 3, given that f(0) = 0.…

A: Given problem:- The value C for the solution of the initial value problem f'(x) = x3 - 7x + 3, given…

Q: Find the absolute maximum value of f(x) = x2 - 2x + 6 over the interval 0, 4

A: