Find the angle between the vectors (3, 1, 1) and (2, 0, 1). Use a calculator if necessary. (Round the answer to two decimal places. Express your answer in radians.)

Q: 1. For the function ƒ(x) = -x² + 4x + 1, (a) Calculate the average rate of change of the function at…

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Q: An aircraft (at Z) is spotted by two observers (at X and Y) who are L-1100 feet apart. As the…

A: The given image of the problem is: L=1100  feetA=50°B=35°

Q: 1. Verify that y = e²x — e-* −1 is a solution for y" - y' -2y = 2

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Q: (a) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values. (c)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Bill Casler bought a $6000, 9-month certificate of deposit (CD) that would earn 9.2% annual simple…

A: As per our guidelines we are supposed to answer only one question at a time. Solution of 1st subpart…

Q: A meteor follows a trajectory r(t) = (8,6,5) +t(7,6, -2) km with t in seconds, near the surface of…

A: A meteor follows a trajectory rt=8,6,5+t7,6,-2

Q: Use the graph of the function f shown to the right to find f(-4), f(-3), and f(-2). f(-4)= f(-3) =…

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Q: 10Let C be the curve defined by the parametric equations x = t^3 - 3t + 2 and y = 3t^2 -9. a.…

A: As per guidelines we support only Frist three part of the questions.kindly repost in next request.

Q: Evaluate the double integral (3.x - y) dA, where R is the region in the first quadrant enclosed by…

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Q: -1 Find f(x) for f(x) = 5 +6x. Enter the exact answer. Enclose numerators and denominators in…

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Q: As a hardworking student, plagued by too much homework, you spend all night doing math homework. By…

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Q: The equation of the line that goes through the point (5,9) and is perpendicular to the line 4x + 2y…

A: given line goes through the point (5,9) and perpendicular to line 4x+2y=2

Q: Simplify the following numbers and write them in standard form: a. (4√-16+2 (150) -2(-4+3 (205)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: In this problem, y = 1/(x² + c) is a one-parameter family of solutions of the first-order DE y' +…

A: We need to solve the given initial value problem and the interval in which it is valid.

Q: Evaluate the following integral S 4x cos (5x) dx=

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Q: (i) [² sin(x) sin (cos(x)) dx 0

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Q: Calculate the linear combination. (Give an exact answer.) X = y = 6(4j+2k) - 4(2i + 7k) = (x, y, z)…

A: The vector is given by 64j+2k-42i+7k = x, y, z To determine: The values of x, y, and z.

Q: Eliminate the parameter t to find a Cartesian equation in the form x = [x(t) 3t² ly(t) = 10 + 1t =…

A: x(t)=3t2.......(i) y(t)=-10+t......(ii)

Q: 4. Check to see if the equation is exact. If so, Solve and check: {Exact} (2e²x + 2xy) dx + (x² −…

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Q: A volume is described as follows: 1. the base is the region bounded by = y² + 14y-5 and x = y² - 26y…

A: Given: x = -y^2 + 14 y - 5 x = y^2 - 26 y + 177

Q: 3+3=? Please explain

A: To find the value of the following expression. 3+3=?

Q: Consider the following integral: a) Note: answers are to be entered to four significant figures. b)…

A: Finally, just sum up the above values and multiply by Δx/2 = 1/4 : = 1/4(10.76720 + 22.10994 +…

Q: Use the chain rule to find dw dt dw dt W = In (√x² + y² + z²), x = 9 sin(t), y = 8 cos(t), z = 5…

A: W=lnx2+y2+z2 x=9 sin(t) y=8 cos(t) z=5 tan(t)

Q: (a) Show that (b) Solve the equation -1 cos(2 tan ¹x): = (d) Find the general solution to cos 7x…

A: Note : As per our Guidelines , we can solve first part as your all parts not too small . Please…

Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: Ft=A·ert     Ft=19000·e0.094·t   A.  For t = 9 Ft=19000·e0.094·t=19000·  e0.094·  9=44275.83

Q: Evaluate the triple integrals ſſy dV, W = {(x,y,z):0≤x≤3,0≤y≤x,x=y≤z≤x+y}. W

A: Given data

Q: The daily demand function for x LED lights sold by a major retailer is p=722.5-0.25z dollars, and…

A: Given Demand Function  p = 722.5 - 0.25x  Given average cost function  C¯ = 250 + 2x Let profit…

Q: If f is a differentiable function with derivative 1-x x²+1 intervals is f concave up? f'(x) = 3 then…

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Q: A tumor is injected with 0.82 grams of Iodine-125. After 1 day, the amount of lodine-125 has…

A: Law of Decay is given as  P = P0e-kt where P is the amount after time t  P0 is the initial amount  k…

Q: Calculate the linear combination. 5(i +2j) - 3(2j+ k) + 7(2k − i) = (x, y, z) (Give your answers as…

A: To calculate the following linear combination. 5i+2j-32j+k+72k-i=x, y, z where,  x=?y=?z=?

Q: Find the value of c that makes the function continuous at x = 0. 8x - 4 sin 2x 7x³ C= f(x) = X #0 X…

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Q: Find c> 0 such that the area of the region enclosed by the parabolas y=x²-c² and y=c²-x² is 20. C=

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Q: Please circle the final answer. Specify each answer of each section to which question it is related.

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Q: Find the mass of the two-dimensional a density function of p(x)= x³-5x + 6. object. An oversized…

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Q: State the order of the given ordinary differential equation. t6y(5) - t4y" + 5y = 0 Determine…

A: To state the order of the given ordinary differential equation. t6y5-t4y''+5y=0 To determine whether…

Q: This problem is represented by the following system: 3x +9y+22=98 8z + 5y +32= 105 4z +10y+z=100…

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Q: (ii) (iii) Find the co-ordinates of the turning points of the following function: y = x³ - 6x² +5…

A: Given the equation, we need to find out the turning points of the curve and also where it has maxima…

Q: Given f(x, y) = 2x²y + 4xy³. Compute: 8² f əx² a²f მყ2

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Q: I have a few questions: How did you get from (sin2(x)+sin(x)+5sin(x)+5)/(sin2(x)-12) to…

A: Given:f(x)g(x)=sin2x + 6sinx + 5sin2x - 12   Basic information: 1. x2 + a+bx +ab =x+ax+b2.…

Q: For the angle 0, find the following. (a) tan (0) (b) cot(0) (c) sec(0) (d) csc(0) 37 (-12,-35) y 0

A: Figure

Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x, y) 2x +9y 5x – 2y

A: given function is f(x,y)=2x+9y5x-2y

Q: x^2 - xy + y^2 = 3, find y'' Step by step solutions.

A: Given: x2-xy+y2=3 To find y''.

Q: Evaluate the double integral circles x² + y² = 9 and x² = 9 and x² Answer: SSR y² -dA, where R is…

A: To evaluate the given double integral use the following substitution. x=rcosθ y=rsinθ x2+y2=r2

Q: Answer: f" (x)= 2x (x² In² (2)-2x In (2)+2) X³

A: f''(x) =[2x(x2ln2(2)-2xln(2)+2]/x3 Find the value of the function at x=2.

Q: Let r₁(t) = (-7, -6, -3) + t(0, 2, -3) and r₂(s) = (5, -10,-5) + s(3, 0, -2). Find the point of…

A: We want to find the point of intersection of the given two lines.

Q: Let T denote the Nth trapezoidal approximation to 0 x³ dx.

A: Integration of x3dx limit from 0 to 1  We have to find T3  .i.e 3rd trapezoidal approximation

Q: Without graphing or solving for the inverse equation, list the transformations of the inverse of…

A: y = - sin(x+1)+3

Q: Determine whether a given series converges or diverges.

A: Given: ∑n=1∞2n3-19n+1 We are required to find: Whether the given series converges or diverges.

Q: Suppose you want to find an equation for a curve that passes through the point (1, 2x3 2) and whose…

A: We have to solve the differential equation dydx=2x3y to get the equation of the curve.

Q: A man gets a job with a salary of 31800 dollars a year. He is promised a 2780 dollars raise each…

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