Find parametric and symmetric equations for the line satisfying the given conditions. Through the points (-1, 2, 1) and (5, 1, -1).

Q: Find the vector component of v = 2i – j+ 3k along b = i + 4j + 8k and the vector component of v…

A: Vector

Q: b) How many bit (or binary) sequences are there of length six with a 1 as the first digit?

A: A bit string is list if 0s and 1s For each of our 6 bits we have 2 choices 0 and 1

Q: A driver accelerates when the car is traveling at a speed of 30 miles per hour (i.e., 44 feet per…

A: This question can be solved by applying the equation of motion.

Q: Find a1 and r for a geometric sequence {a, from the given information. 41 az = 123 and a,= 9 a1 r=

A: The given terms of the geometric sequence,a3=123 and a6=-419

Q: MyCalStateLA x Activity 10.6 x O Exploring Dir x+ Ohttps://calstatela.instruct... Let f(x, y, z) at…

A: Given query is to find direction derivative.

Q: Write the first five terms of a geometric sequence a} based on the given information about the…

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Q: Solve the differential equation. dP 3 Р(4) — 20 dx Using sqrt{t} for Vt. P(t)= 6sqrt{t} +8 O P(t)=…

A: Given query is to solve the differential equation.

Q: You will create an estimate in order to assist your boss in gaining the job! The equation that is…

A: As per bartleby guidelines we are supposed to answer only 3 subparts of a question. This question…

Q: th Write a formula for the n"" term of the geometric sequence. 5, 10, 20, 40, ...

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Q: 3:30 A3. If y = e2x+5 then y' = %3D LA) 2e2x+5 (b) e2x+5 (c) 5e2x+5 (d) e2

A: Given query is to find the derivative of the expression.

Q: At what point(s) on the curve x = 3t2+1, y= t3 -1 does the tangent line have slope?

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Q: The graph of the velocity function v = v(t) is given below. Determine the distance trav- eled during…

A: Distance traveled is given by area under the velocity - time graph. So, basically we have to find…

Q: Question Find the absolute maximum and absolute minimum of the function f(x) = over the interval[-4,…

A: Use critical point to evaluate the absolute maxima and minima .

Q: Let g be a function that is defined for all x, x# 2, such that g(3)% = 4 and the derivative of g is…

A: Solved below

Q: f(x, y) = 2y – 6ry - x 2.

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Q: For numbers 4-10, answer the following questions for the piecewise defined function f(t). t2 t+6 for…

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Q: Question Find the critical points of the function 2 + 32x2. 5/2 f(x) =

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Q: Use the Comparison Test to determine if the series converges or diverges. Sn+ 6n n-1 diverges O…

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Q: r = 3 cos 0

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Q: 37 11 Let z < 1 < and sin (1) = -. Use a double-angle formula to find sin (21). 12 (Give an exact…

A: We have to find the given trigonometric quantity.

Q: 2+1 3+x+1 The horizontal asymptote(s) of /) = is/are a x-1/3 b y1/3 C X1/3 and -1/3 d y1/3 and y 1/3

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Q: dy Differentiate implicitly to find dx 8x? + 9xy + 7y + 17y -8 = 0 dy %3D dx

A: Given query is to find the derivative of the expression.

Q: dy A9. If xy- cos x = 1, then dx シーsinx ソ+cosx -y+cos x y+sin x (b) (d)

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Q: Compute the length of the curve r(t) = (41² + 1, 81² - 5,1) over the interval 0 < t < 2. (Use…

A: To find the length of the parametric curve  r(t)=4t2+1,8t2-5,t3 over the interval 0≤t≤2. Here, let…

Q: Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) Vf(4, 2) =

A: Topic = Functions

Q: 2. Find the volume oF solid obt ained by revolving the region bounded by the about the x- axis the…

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Q: a) How many 3-digit positive integers are there with odd digits?

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Q: The equation 0-10x+5= 0 does not have a root in (0, 1) Select one True False

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Q: 59. Let f(x, y) = x². %3D (A) Explain why the cross sections of the surface z = f(x, y) produced by…

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Q: 7. Х Arcsec (2х) dx 3 (4x2 – 1)7

A: The objective of the question is evaluate the indefinite integral.

Q: Use the integral test to determine whet 2n n2 + 4 n=1 O converges O diverges

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Q: dx dy 2 Select one: True False

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Q: Write the first five terms of the geometric sequence a, based on the given information about the…

A: Given query is to find the first 5 terms of the sequence.

Q: Find parametric equations of the line through (–3, 0, 3) that is parallel to 5i – 8j+ k. x(t) y(t)…

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Q: Find a plane through the points (-5,-1,5), (2,4,7), (7,5,-6)

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Q: Determine if the following statement is true or false. The points P1(14, 8, 9), P2(7, 4, 0), P3(0, –…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: Jse Lagrange multipliers to find the minimum distance from the curve or surface to the indicated…

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Q: 4- 2- 2 3. To find the blue shaded area above, we would calculate: f(z)dz = area Where:

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Q: 2. Evaluate the following limits. x²-6x+9 b. lim X-3 x-3

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Q: Let a = ci +jand b 7i + 56j. Find c so that a and b are orthogonal. %3D %D C =

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) x²…

A: The given curves are y1=x2+2x+5  &amp;  y2=2x+15

Q: For what value of k does the equation kx2 -4x + k = 0 has two equal real roots?

A: Given, kx²-4x+k=0 a=k b=-4 c=k

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

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Q: Solve the Bernoulli equation. -6 5xy' +y = y°, x>0

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Q: Find the gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) Vf(4, 2) = %3D

A: To find the gradient of the function at the given point.fx, y=5x+2y2+4, 4, 2∇f4, 2=?

Q: Find the demand function q = D(x), given the following elasticity conditions. E(x) = q = 205 when x=…

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Q: 197 Find the sine and cosine of - 12 197 Note that 12 Use sum or difference formulas involving…

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Q: Qi Find the adjointof A 2. A= 2

A: