5. Consider the following vectors in 3D: (1,2,3) & (-4,0,1). Determine a vector that is orthogonal or perpendicular to both.

Q: Solve = (x²+6)(y-7), y(0) = 2. dy dx

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Q: Determine the value for c so that lim f(x) exists. X-5 f(x) = 1 5x+C, -x+10, for x>5 The value of c…

A: If limx→af( x ) exist then limx→a-f( x ) = limx→af( x ) = limx→a+f( x )

Q: Use the one-to-one property of logarithms to find an exact solution for If there is no solution,…

A: Here we have given a logarithmic expression: ln7+ln7x2-6=ln39 Properties we will use here are given…

Q: Complete the computations in Exercises 5-8. 5. (6,0, 5) + (5,0, 6) = 6. (0,0,0) + (0,0,0) = 7. (1,…

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Q: Use the graph of F to find the given limit. When necessary, state that the limit does not exist. lim…

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Q: r(t) = ti+t²j+ + 1 {/f²k 2

A: Solving the problem

Q: Determine if the improper integral converges and, if so, evaluate it. dx S3 (x+7) ³/2 Write F if the…

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Q: Evaluate the integral See ex -2 dx Note: Use an upper-case "C" for the constant of integration.

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Q: x cos(x) dx?

A: ∫xcosxdx

Q: -g(x) = x¹/3 — x-2/3

A: g(x) = x1/3 -  x-2/3

Q: Graph the function and then find the specified limits. When necessary, state that the limit does not…

A: A piecewise function is given and here we need to find out that limit exists or not at x=1 and also…

Q: 1. let y = x(x2+x)2  , Find y'   2. let f(x) = (5x)5 find f '(x)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Q6 Use the graphs below to fill in blank. Write DNE" for Does Not Exist" or NEI" for Not Enough…

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Q: If f(-2) = 14, f'(-2) = -16, f(3) = -7 and f'(3) = -5 then: L. z. ( x. f"(x) dx = Submit Question

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Q: 75 Compute the definite integral cos³ (2x) sin² (2x)dx . 4 30 2 15 1 15 6 775 10

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Q: f(x) = x + 1 X

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Q: 1 Is the function given by g(x) = - X+5 continuous over the interval (-3,3)? Why or why not? Select…

A: g(x)= 1/(x+5) We have to find g(x) is continuous or not in (-3,3)

Q: The Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and…

A: Given, px = 1.60x for  x ≤ 301.30x+k  for  x > 30  We have to find the value of  k such that…

Q: 3. Differentiate the following exponential function without simplifying f(x)=√(e*)(2x)

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Q: You wake up one morning, and find yourself wearing a toga and scarab ring. Always a logical person,…

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Q: Level 4: 7. Given the piecewise function f(x), answer the following questions: f(x)= 4-x², x-1 a)…

A: The given function is, f(x)=4-x2, x<-1ax2-1, x≥-1

Q: If you want to earn 15% annual simple interest on an investment, how much should you pay for a note…

A: Simple interest Formula is given as  SI = P×R×t100 Where P is the principal amount  R is the rate of…

Q: Evaluate the integral. (Use C for the constant of integration.) [₁ 7 tan²(x) dx

A: We have, ∫  7 tan2xdx

Q: Loan Duration 1 day 14 days 30 days Interest Owed $2.72 $37.88 $75.26 (a) Using the interest owed on…

A: Pri copal Amount P =$500 Loan duration t = 1 day Interest I = $2.72

Q: Find the point at which the line meets the plane. x= −3+6t₂ y = −4+5t, z= −3+4t, x+y+z= -25 The…

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Q: 2. a) Evaluate the integral. sin(3nt)dt b) 2x³ +3x6 dx

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Q: (7) Given the graph of f(x) below, state the value of the following limits if they exist y

A: as per bartleby guidelines we are supposed to answer first three subparts only please repost other…

Q: which value (s) {5,7,9,11,13}make the inequailty w-4<8 true?

A: The inequality is given and we need to solve it.

Q: VIII. Find the equation of the plane with the given description. 1. Passing through P = (2,-1, 4), Q…

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Q: -5x-2y 2x + y x 2z = -2) = 5 +z = 5 =

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Q: A bucket is filled with sand so that the total mass (sand and bucket) is 20 kgs. The bucket is to be…

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Q: FIND THE INTEGRAL BY THE METHOD INDICATED: Notes: By Parts formula: 1. (BY PARTS) udv= = uv -Svdu […

A: The given integral is x(x-3)4. Integrate the integral by parts formula.

Q: S x cos(x) dx?

A:

Q: 3. A parallelogram is formed by the vectors OA = (6, 3) and OB (-1, 1). Determine the acute angle…

A: A parallelogram is formed by the vectors OA→=6, 3 and OB→=-1, 1.   To determine the acute angle…

Q: The two forces acting on the handles of the pipe wrenches constitute a couple M. Express the couple…

A: Finding the moment of the forces M=-175(0.285+0.285)i+175(0.18)j

Q: volume is described as follows: 1 the base is the region bounded by y = 8-2² a and y = 0 .every…

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Q: A CD has diameter of 130 millimeters. When playing audio, the angular speed varies to keep the…

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Q: Σ(-1)" √TI 2n + 3

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Q: Calculate the integral approximation Se for S6 || ← [₁4+² dz. S 0

A: We have, integrate 4 ^ (- x ^ 2) dx from 0 to 1 n = 6

Q: In three-space, find the intersection point of the two lines: [x, y, z] = [-2, 3, −3] + t[1, x = 3-t…

A: We have given that Two lines  [x, y, z] =[-2,3,-3]+t[1,-1, 2]  ----(1) and   x=3-t y=-5+ 2t…

Q: Write each of the following principal values in Cartesian form (i.e., in the form a + ib where a, b…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so…

A: Note: Due to Bartleby policy i can solve only the first question with its 3 subparts.     The cost…

Q: f(x) = 5 + 54x − 2x³, [0,4]

A: According to question,Given Function,fx = 5+54x-2x3,In interval 0, 4

Q: (c) Use the Chain Rule to compute af s^3t^9 + 3s^3 t^12 + 2st Əs In (c) express your answer in terms…

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Q: 5. The graph below shows the function h(x) over the interval 7≤x≤7. At which x-values is h(x)…

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Q: Find the distance from the point to the line. (-2,2,-4); x = 2+2t, y=3-t, z=-1-3t The distance is…

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Q: Q10 Consider the piecewise function below. x ≤ 0 f(x) = x² 3, - 19 - X X " Definition: lim f(x)…

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Q: Find the linear approximation of the f(x, y) = Answer: f(x, y) ~ X x + y at the point (1,6).

A: To find the linear approximation of the function f(x, y) = x/(x + y) at the point (1, 6), we need to…

Q: Determine whether the lines and intersect. If so, find the point of intersection. r₁(t) = (0, 1, 1)…

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Q: 2π A sector of a circle has a diameter of 8 feet and an angle of Round your answer to four decimal…

A: We have, θ = 2π/3  Diameter (2r) = 8 r = 8/2 = 4