Determine the dot product uv, if |||| = 9 and |||| = the angle between the two ㅠ vectors is = 3 Select one: 02 13 11/123 O 3

Q: 1- Let n and r be positive integers such that r≤n. Then (a) Pn=nx pn-1 (c) P = pn n-1 (b) P = P-1…

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Q: Consider the following equations. 124 O Sketch the region bounded by the graphs of the equations. y…

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Q: 5.2 Consider the curve that passes through the point (0,10) and is such that the slope of the…

A: We have to find the curve that satisfies the given conditions of the problem.

Q: Evaluate the given integral by changing to polar coordinates. sin(x² + y²) da, where R is the region…

A: Given that,

Q: Solve the following differential equations |y" + 21y+8x = y" + 5y'+e²x

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Q: Use the quotient rule to evaluate h'(a) for the given function h(x) and a. 7x 9 - 2x Provide your…

A: A detailed solution is given below.

Q: [" In(y+z) e dxdzdy = [Show your solution.]

A: Given that,

Q: Find the absolute extremum within the specified domain. 21) Minimum of f(x)=(x2+4)2/3; [-2,2]

A: According to our policies we are allowed to solve one question at a time. Kindly repost other…

Q: A manufacture has been selling 1600 television sets a week at $540 each. A market survey indicates…

A: (a) Here x is the number of television sets sold per week and p(x) is the corresponding price in…

Q: Assume that the random variable X is normally distributed, with mean μ = 70 and standard deviation…

A: To find the probablity P(X>a)  then we have to convert the expression into  Z-score value of the…

Q: R is the region bounded above by the function f(x) = −2x+1 and below by the function g(x) = 2x/3 − 8…

A: Area bounded by two functions f(x) and g(x) over the interval [a, b] can be determined as…

Q: Question 3. The parametrization of a curve C is given by r(t) (a) Find r' (π/6). = (sin(t), cos(t),…

A: To find parametric equations of the tangent line to the given curve.

Q: 11.Sketch the graph of the region D and evaluate the double integral y dA, D = {(x,y)| 0≤ x ≤ ¹,0 ≤…

A: The region D is bounded by the below curves:x=0 to x=1; y=0 to y=x3.

Q: II. Trigonometric Substitution. Evaluate the following integrals using trigonometric substitution.…

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Q: The base of a three-dimensional figure is bound by the line y = x + 4 on the interval [-3, 1].…

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Q: 1. Find the area bounded by r = cos 0 for -π/2 ≤0 ≤π/2. 2. Find the length of the r(t)= , 1 ≤ t ≤ 5…

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Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

A: Given that, A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another…

Q: If we know that g is a derivable function such that g'(81) = 6 and f is a function given by f(x) =…

A: Given :f(x)=gx4g'(81)=6

Q: Find f if f"(t) = 2e¹ + 3 sin(t), f(0) = −4, ƒ(ñ) = 9. f(t) = 2e^t-3sint-6

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Q: ..suspended a mass of 10 kg from a ceiling by two cords that make angles of 30° and 45° to the…

A: This question can be solved using the concept of component form of vectors.

Q: If it exists, find Answer: x³ - ze²y lim (x,y,z) (-1,0,4) 6x + 2y3z' Write DNE, if the limit does…

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Q: u - If ü = 43 - 2k and = 2 - 3 + 7k, find 3u - 27.

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Q: 7. Integral cos x dx sin x

A: This question is related to integration, we will solve it using given information.

Q: 8. Find the vector equation of the line that passes through P(-3,5) and is parallel to the line 3x -…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Question The graph of f(x) = -2x³+x-3 is shown below. Use the tools to graph the line tangent to…

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Q: Q4\A: Find area of zone bounded by curves y = x² y = 2x+8

A: area bounded by curve  y = x2  y = 2x +8  step 1  find the intersecting point of curves step 2  find…

Q: Solve the given differential equation. 16x2y" + 16xy' - y = 0 C₁ cos(In(x)). + C₂sin (In(x)) 4 4…

A: here we have to solve differential equation.

Q: Evaluate each integral. √x+Yy dz Jx - "X rx + y 0 Jx-y y dz dy Now evaluate J = = y dV, where E =…

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Q: Select the number line that shows that two opposite numbers have a sum of 0. A. OB. C. D. 4 -8 -7 -6…

A: We have to solve above question Two opposite number have a sum of 0

Q: car traveling at 45 ft/sec decelerates at a constant 7 feet per second per second. How many feet…

A: Given initial velocity (u)=45 ft/secFinal velocity, as brakes are applied (V)=0Acceleration=-7…

Q: 16. Integral Ydy 6y2-1

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Q: For the function f(x) = 2x2 - 5x a) Find f'(x) from FIRST PRINCIPLES b) Use your result from a) to…

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Q: 1 3x (2x + = + ₁). x+1 Find k'(x) if k(x) = 3x (2x + Provide your answer below: k'(x) =

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y=x²-In(x),…

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Q: for (#)(x). 100. Find the restrictions in the domain, if any, for then select all answers that are…

A: It is given that: h(x)=x2-5x-24,j(x)=5x+15

Q: Consider the integral 11 [™ (22² + 2x + 1) da (a) Find the Riemann sum for this integral using right…

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Q: Assume x and y are functions of t. Evaluate dy/dt. 12) x3+y3=9;- dx dt 13) xy + x = 12; dx dt = 4, x…

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Q: Two matrices A and B are multiplied to get AB if O both are rectangular both have same order number…

A: If A and B are two matrix then matrix AB is defined only when  (A) A and B are of same order (B) The…

Q: Let k(x)=f(x)g(x)h(x). If f(−2)=−5,f′(−2)=9,g(−2)=−7,g′(−2)=8,h(−2)=3, and h′(−2)=−10 what is…

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Q: You are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by…

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Q: Refer to the functions r and p. Find the function (p-r) (x) and write the domain in interval…

A: As per the guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: An object is dropped from 260 ft. above the surface of the moon with an initial velocity of 0…

A: Let's solve for time taken the object to hit the surface of the moon.

Q: Find the area of the region bounded by y = 6-x-x² and the x-axis 125 6 (a) A = square units 6 (b) A=…

A: The given curves are; y=6-x-x2 and x-axis or y=0.   Now find the x-intercept of the the curve…

Q: Use the formula for the area of a trapezoid to evaluate √₂² (2x- 2 (2x + 3) dx.

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Q: Evaluate x/12 0 14√/1- cos 12x dx.

A: Given, ∫0π4141-cos12xdx

Q: 2. Integral A e3A dA

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Q: Use the properties of the derivative to find r(t) = 3/i+6f³j+31³k u(t)=2i+2r²j-3t³k [r(t) - u(t)]…

A: This question is related to derivative, we will solve it using given information.

Q: Find the derivative of the following function. Factor fully and simplify your answer so no negative…

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Q: A bus has 8 vacant seats in the first rose. If three additional passengers enter the bus in how many…

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Q: 10. Find r(t) if = (4t3+ 4t)i + 6tj + 3t²k, r(0) =i+j.

A: We have to find out r