Estimate I = S 5 ⚫32 I ≈ (3x+6x2)dx using midpoints and n = 3 subintervals.

Q: Find two unit vectors orthogonal to both u = (4, −1, −3) and v = (0, 4, 1). Give exact values (no…

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Q: 33 Use Simpson's Rule and all the data in the following table to estimate the value of the integral…

A: 358​Explanation:If you have any questions let me know in comment box thankyou for your question.

Q: Solve problem 4

A: Solution Explanation:Step 1: Step 2: Step 3: Step 4:

Q: (c) u = 2 x = a²ß, y = 32, t = √²α; u when a = -1, 3 = 2, y = 1 მ მ3 მ ди ди ди

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Q: Find f'(x). 15 f(x)=(3-4x) 15 f'(x)= ☐

A: We have to find the derivative of the function

Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:<56,-23,-37>Explanation:

Q: Question 27 (1 point) Use a calculator to solve the equation on the interval 0s 0 <2π. Round the…

A: The objective of this question is to find the values of θ in the interval 0

Q: I da, trigonometric substitution √16-2

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Q: Consider the function f(x) = 3 cos x 8 sin x. Let F(x) be the antiderivative of f(x) with F(0) = 8.…

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Q: Water is leaking out of an inverted conical tank at a rate of 12,500 cm³/min at the same time that…

A: The volume of the cone is:Where r is the radius and h is the height of the cone.The Power Rule:

Q: #7 Given f(x,y) = x³y-xy-2x. find and classify (min, maxer saddle) all critical points.

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Q: Problem #6: Find the inverse Laplace transform of the following expression. 4s +3 ²-145+113

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Q: Two towns A and B are 5 km and 7 km, respectively, from a railroad line. The points C and D nearest…

A: Ans : Station  s is located 2.5km away from point c.Explanation:

Q: #9, Again, f(x,y) = x² + y² = xy-3x Find the absolute minimum and absolute maximum of fon the region…

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Q: 4) Evaluate the integrals (show all your work) a) dx x7-x 2 dx b) So√√√x-11 0

A: To evaluate the following integrals.

Q: find the equation of the line tangent to g(x)=x^2+x at (2,6).

A: Find the equation of tangent to  at

Q: 3 3 Consider the function f(x) = 23 x7 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then…

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Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c.…

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Q: The acceleration of an object (in m/s²) is given by the function a(t) = 8 sin(t). The initial…

A: Proper solution with step by step is provided below:Explanation:Step 1: Step 2:

Q: A mass weighing 2 pounds stretches a spring 6 inches. At time t=0, the mass is released from rest 8…

A: Final answer(a). d2y/dt2=−ky(refer to equation 4 in step 3).(b). Initial conditions at t = 0 y(t) =…

Q: Find the maximum and minimum values of f(x, y) = 6x + y on the ellipse x² + 25y² = 1

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Q: Find the area of one petal of r = 9cos30

A: r=9cos⁡3θFor the area of one petalr=0cos⁡(3θ)=03θ=−π2,π2θ=−π6,π6−π6≤θ≤π6

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 400 1,200 3,600 f(x) =

A: The required model isf(x)=400(3)xExplanation:Step 1:Given table is The model takes the form…

Q: Find the graph given the following table. X f'(x) a b C 104

A: Option BExplanation:f'(x) means derivative of a function f(x) at a point with respect to x.…

Q: The shaded region shown below is bounded by the functions f, of, x, equals, minus, x, squared,…

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Q: 1. (10 pts) Use the following graph of y = f(a) to answer each part: 1 -2.1 Y a (a) Determine the…

A: Answer of every question is given below.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 72 3.(2.4) (1) Let c(t) = (sect, tant), — — < t < be a path. Find an xy-equation of this path. (2)…

A: Given that (1) Let  be a path. (2) Let  be a path.

Q: 1 Ex 1. Does the extreme value theorem guarantee the existence of an absolute maximum or minimum for…

A: Given function We have to verify the extreme value theorem on the interval .

Q: Problem #9: (a) Given the initial value problem y3y 10 sint, y(0) = 9, find the Laplace transform of…

A: Answer Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Solve y''+3y' = 6-2e3x by undetermined coefficients.

A: The general solution to the differential equation y′′+3y′=6−2e3x by the method of undetermined…

Q: If secant alpha equals StartFraction 17 Over 8 EndFractionsecα=178​, 00less than&lt;alphaαless…

A: The objective of this question is to find the exact values of sin(α/2), cos(α/2), and tan(α/2) given…

Q: how would you solve this? This is a non-graded practice. The correct answer is E I just don’t know…

A: Detailed answers show blown Explanation:The area under the velocity curve represents the distance…

Q: The value of the following integral is positive (a) True. (b) False. LL x√√x²+ y²dydx.

A: To determine whether the following statement is true or false.The value of the following integral is…

Q: Find the length of the curve over the given interval. y = 10+10sinė, 0 ≤0≤2π Select one: ○ a. 20 O…

A: follow the solution part.Explanation:

Q: Find the critical number(s), relative maximum, relative minimum, absolute maximum, absolute minimum…

A: The given function  ,

Q: Find the derivative. dy dx : if y(x) =√x2 + 8

A: The objective of the question is to find the derivative of the function y(x) = sqrt(x^2 + 8) with…

Q: Assignment 10: Problem 7

A: 12Explanation:To find the minimum value of the function f(x, y) = x² + y² subject to the constraint…

Q: Find the area of the common interior of the polar equations = 2(1 + sine) and 7 = 2(1 - sine) by…

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Q: The market research department of the Better Baby Buggy Co. predicts that the demand equation for…

A: the price at which the company should sell the buggies to maximize revenue is $110.the largest…

Q: 7. Let F(x, y) = 2x²yi + 3xyj, and C be the boundary of the square with corner points (±1, +1),…

A: The flux of F around the region C after calculation comes out to be zero using the Green's…

Q: Find the linear approximation L(x) of the function (x) V1 + x at a = 0. L(x)= Use it to approximate…

A: given function

Q: Air containing 0.06% carbon dioxide is pumped into a room whose volume is 6,000 ft3. The air is…

A: Air containing 0.06% carbon dioxide is pumped into a room whose volume is 6,000 ft3.The air is…

Q: Can you answer number 2,5,6,7 using integration by parts. Thank you.

A: Answer No. (2): To evaluate the following integral by using integration by parts.Note: Since you…

Q: Find the critical numbers of the function f(x)=-12x to the fifth power  - 75x to the fourth power +…

A: The objective of this question is to find the critical numbers of the given function and classify…

Q: Find the surface area of the solid of revolution obtained by rotating the curve from x = 2 to 4…

A: The given curve equation is The surface area of the revolution of the curve  about the x-axis over…

Q: Example 4: w=x²y+y+xz_x= cos(0) y=sin(0) z=0² dw Find dt

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Problem #8: Let y(t) be the solution to the following initial value problem. y"-14y+45y=18e6t, y(0)…

A: The solution is attached as a picture below. Explanation:

Q: Use the figure to find the exact value of the following trigonometric function. sin (20) sin (20)…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e⁹x + e-x (a) Find the…

A: Given: To Find: (a) To find the intervals on which f is increasing and decreasing.(b) To find the…

Q: y = = Find the equation of the curve that passes through the point (2, 2) if its slope is given by…

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