(a) Estimate the area under the graph of the function f(x) = from x = 0 to x = 4 using a Riemann sum with 1 x+4 10 subintervals and right endpoints. n = Round your answer to four decimal places. area = Number

Q: If f(x) = - 3/2 and g(x) x + 2 2x² 3 6x + x² 3 6x + 1 1 2x + x² x + 6 2x² = X + 1, find (-1)(x) (x)…

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Q: 1. Let =(3,-1) and W = (1,2). a) Sketch the vectors v, w, vw, and 3v + w b) Find a unit vector in…

A: Unit vector we find by taking the resultant of vector.

Q: Find the domain of Domain: ·∞, 3 Write your answer in interval notation. interval notation. - 28 1)…

A: Find the domain of function

Q: For the given function, find (a) the equation of the secant line through the points where x has the…

A: y=f(x)=x2+xat x=1 , x=4 (a)  equation of secant line is y=mx+c,  where m is slope

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Question 6 The region R in the first quadrant of the xy-plane is bounded by the curves a = 4 + y², x…

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Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

A: according to bartleby guide line we do only first part of multiple. there for please re-post other…

Q: The region R in the first quadrant of the xy-plane is bounded by the curves y = -6 sin(x), x = π, x…

A: The given region is: y=-6sin x,       x=π,    x=2π  and  y=0

Q: f(x) = e² - 2x ex

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Q: (d) (e) (f) [ ₁² V. [ (sec²(x) — csc²(4x)) da. x² √x³+3 dx ** π/4 sin(4x) dx.

A: Detailed solutions is given below.

Q: Find T, N, and k for the space curve r(t) = (7e'cos t)i + (7e'sin t)j + 4k.

A: Given data:  r(t)=(7et cost) i +(7et sin t) j+4k

Q: Find the cosine of the angle between the normal vectors to the planes x+y+ 2z = 3 and 2x -y + 2z = 5

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Q: The region in the graph shown is to be revolved about the x-axis to generate a solid. Which of the…

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Q: ○a=3 O 10. Select the value of such that alog(x) is equivalent to log₂ (x). a=9 a = 1 3 Oa= √3

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Q: Let the function f be defined as follows. x² x - 20 x = 5, 10, x = 5 Which of the following…

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Q: 4. Which line passes through the origin? O A y=3 OB y=x-3 O cy=-3r ODY 2r 1

A: standard form of line is y=mx+cwhere m is slope of line

Q: (a) (b) (c) xex [ae-1 da dx. [ (3 - 2x(1 - 3x)) dx. / (√2-√₂) dr.

A: To evaluate each of the following integrals. (a) ∫xex-1x dx (b) ∫3-2x1-3x dx (c) ∫x5-1x5 dx

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

A: given point is (7,3,1)and perpendicular to  4x-4y+4z=7we know parametric equation of a line…

Q: A circle has the graph shown with the indicated center. 6+ 5 4 32 2 H -6-5-4-3-21 -2 -3 15 -6 + 2 4…

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Q: Use the piecewise defined function shown below to answer the question. 18 (x+2)² g(x) = K - (x+4)² O…

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Q: 1) Suppose velocity, v(t), of an object at time t is given by this piecewise defined graph. Assume…

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Q: Use a graph of f or some other method to determine what, if any, value to assign to f(a) to make f…

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Q: For the function, find the partials fx(x, y) and f(x, y) = (9x² + 3xy + 6)4 (a) f(x, y) (b) f(x, y)…

A: Givenf(x,y)=(9x2+3xy+6)4   We are required to finda. fx(x,y)b. fy(x,y) The following formulas has…

Q: Step 1 of 4: Find lim_ f(x). x--3- 10 10 5 -5 -10 y Enable Zoom/Pan 00 5 Tơ X

A: To find limx→-3- fx.

Q: Graph the feasible region for the following system of inequalities. Tell whether the region is…

A: red one represents x+4y ≤12   whereas violet one represents 4x+5y≥20   region is UNBOUNDED

Q: Given limx→6 f(x) = 8 and limx→6 9(x) = 5, evaluate If the limit does not exist enter DNE. Limit = 0…

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Q: Use the graph of f in the figure to do the following. a. Find the values of x in the interval (0,5)…

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Q: Pls help with these

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Q: the parametric equation of the line through the point (1,-1,5) and perpendicular to the plane…

A: To find the parametric equation

Q: 25. All solutions are asymptotic to the line y = 3-t as t → ∞.

A: (25) Given that , y=3-t Construct a first order liner differential equation whose solution have the…

Q: Consider the function m(x) and its graph. 2x + 36 √x-5 m(x) = How many solutions does m(x) = 0 have?…

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Q: (a) Estimate the area under the graph of the function f(x) 1 x+4 n = 10 subintervals and right…

A: Given function is f(x)=1x+4 from x=0 to x=4Then ⇒To find the area under the curve f(x) from x=a to…

Q: te the following: 2x dx x - 4 dx

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Q: Match the graph with its corresponding function. +++ -10 -5 ņ O g(x) = (x - 3)2 O g(x)=x²-3 O g(x) =…

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Q: Evaluate the integral. 216 1 x(x + 6)³ (Use symbolic notation and fractions where needed. Use C for…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) first, we need to find…

Q: Solve x3 + 3x2 - 4x=0. Enter the values below. Smallest value: x= Middlex value: x= Largest x value:…

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Q: (b) Find the limits as x approaches 4 from the left and from the right. lim f(x) = X-47 lim f(x) =…

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Q: 98 x = 62° 29° NOTE: The triangle is NOT drawn to scale. Answer the following: Round your answer to…

A: We are required to find the value of x

Q: For what value of b is this piecewise function continuous? 8x +3, x < −6 7x+b, x ≥ −6 f(x) =

A: Please see the below answer.

Q: Find the area of the sector of a circle with radius 4 centimeters formed by a central angle of π/4…

A: Given query is to find the area of the sector.

Q: The unit tangent vector to the curve r(t) = ⟨2 cos t, 1 + t, 1 − 2 sin t⟩ at t = π/2 is

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Q: 1 b Given: (x is number of items) Demand function: d(x) = 370.3-0.4x² Supply function: s(x) = 0.3x²…

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Q: The graph of a function is given. Determine the average rate of change of the function between the…

A: Given query is to find average rate of change.

Q: 4. Find the cosine of the angle between the normal vectors to the planes x+y+ 2z = 3 and 2x -y + 2z…

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Q: A mad scientist has recently uncovered the process for making flubber. The cost of producing F grams…

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Q: Complete the following probability distribution table and then calculate the stated probabilities.…

A: Please see the below picture for detailed solution.

Q: State the derivative. Do not simplify. f(x) = - x² +3 X

A: INTRODUCTION A derivative of a function is a measure of the rate of change of the function with…

Q: If a ball is thrown straight up into the air with an initial velocity of 40 ft/s, its height in feet…

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Q: Find the limit. (If the limit is infinite, enter '∞o' or '-co', as appropriate. If the limit does…

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Q: ← Suppose the position of an object moving in a straight line is given by s(t) = 1² -1² + 6. Find…

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