Trapezoidal Rule. Use the Trapezoidal rule to approximate the integral 3e* dx with n = 4 subintervals, rounded to 4 decimal places.

Q: Choose the point which shows the correct location for the polar coordinate (2, 120°). 90° 512 WIN…

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Q: Flight of a Model Rocket The height (in feet) attained by a rocket t sec into flight is given by the…

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Q: Evaluate the iterated integral. T/2 r10 cos(0) r dr de

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Q: Solve the initial value problem: y" - 12y' + 36y = 0 ; y(0) = 2/3 , y'(0) = 0

A: We want to find solution of the given initial value problem.

Q: The one-to-one functions g and h are defined as follows. g= {(0, -3), (3, -9), (4, 3), (7, 2), (8,…

A: The objective of the question is evaluate the given function values.

Q: The range of the function f(x,y) =16-4x-9y is equal to. [0,1] [0, 16[ This option O This option [0.…

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Q: The marginal cost for a company to produce q items is given by MC(q) = 0.004q -0.7q + 635. The…

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Q: A firm's profit is determined by subtracting the cost of production from its revenues. Suppose we…

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Q: Use the definition of the Laplace transform to compute L[f(t)]. For each, state the domain of…

A: Solve the following

Q: Show that la 1 1 1 a 1 - (а + 3)(а - 1)3. - 1)³. %3D 1 1 a 1 1 1 a

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Q: If f(x) = csc(3x). then f' (x) = %3D o -3csc(3x)cot(3x) o -3csc2 (3x) o 3sec(3x)tan(3x) o 3tan? (3x)

A: Given: fx=csc3x To evaluate: f'(x)

Q: 2x 14x + 20X Limits. Evalute lim X-5 rounded to 4 decimal places x2 - 6x + 5 O 0.1333 O 1 O 0.5 O 2…

A: We can find the limit as below.

Q: 2х x-1 lim X-3 6- 2х

A: Solving the problem by finding the value of the limit.   NOTE :: As per our Expert guidelines we are…

Q: d'y If 4x2 + y = 40 then evaluate when = 3 and y = 2. (Answer accurate to two decimal places.)

A: Topic = Derivative

Q: Graph the constant profit lines for the objective P=5x+8y through (4,4) and also through (6,6). Use…

A: Please refer attached file for solution below

Q: Finding an Equation of a Function  Find an equation of the function f that has the given derivative…

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Q: Solve the following differential equations of (у-ху)dx + хdy %3D0

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Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° 2 45° I 4…

A: The point is -2,-3π4

Q: 37 Comvert the point (r, 6, 2) = (2, ,1) to Cartesian coordinates. Give answers either as…

A: Given, (r,theta,z)= (2, 3pi/4,1)

Q: APPLICATION: 1. A pigpen is to be enclosed using 640 m of fencing along three of its sides, the…

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Q: 4 dx X-X-2Ą

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Q: Let y = 4x. %3D Find the change in y, Ay when x = 5 and Ar = 0.4 Find the differential dy when x = 5…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use the properties of logarithms to expand log(xz). Each logarithm should involve only one variable…

A: log(xz6)We know that logab+logac=loga(bc)Therefore,log(xz6)=log(x)+log(z6)we know…

Q: If f(x) = -2x^3 + 5x^2 - 3x - 3,  Find an expression for the second derivative f"(x).  f"(x) =

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Q: Sales. Suppose a tricycle company projects sales to increase with the function f(x) = 4(x + 4)2…

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Q: Evaluate the following integrals: 1. So? 2. cos 2x dx

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y², (6,…

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Q: Evaluate the triple integral xy dV where E is the solid tetrahedon with vertices (0, 0,0), (6, 0,…

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Q: Choose the point which shows the correct location for the polar coordinate (1, ). 90° 2 WIN 135°…

A: Given query is to find the point of the coordinate.

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

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Q: Simplify arccot1. 4 no solution

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Q: Select the answer option that corresponds with polar coordinates (4, –120\degree). WIN 150° 45° 4 -7…

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Q: 4x2+y = 40 then evaluate when = 3 and y 2. dx? (Answer accurate to two decimal places.)

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Q: A rotating light is located 12 feet from a wall. The light completes one rotation every 5 seconds.…

A: Here we are given that the light is located 12 ft from the wall and completes rotation every 5…

Q: 10. (Section 4.4) Find the area of the region bounded by f(x) = x² + 3x + 1 and g(x) = 6x + 1.

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Q: Let å = (2,0, – 3) and b = (0, 1, 5). Find b x a.

A: Given query is to find indicated vector.

Q: Vx + 32 - 5 Limit. lim x--7 X + 7 O 0.1 O Does Not Exist (DNE or tco) O 10 O 1.4 O 5

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Q: "f(z) = -6x f'(3) = : %3D then =?. x+3 (Answer accurate to 2 decimal places.)

A: Topic  = Derivative

Q: Use the properties of logarithms to expand the following expression. 5 3 2 Each logarithm should…

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Q: O EXPONENTIAL AND LOGARITHMIC FUNCTIONS Table for an exponential function The function g is defined…

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Q: Find the solution to   x′=y y′=12x+4y   if x(0)=0 and y(0)=5.

A: we have to solve system of differential equations

Q: Suppose a person travels at a rate of 6 ft/hr toward the foot of a street lamp pole 61 ft high. The…

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Q: dy х-1 The general solution of the differential equation dx y # -2 is y+2' О а. y² – x² + 2x – 4y =…

A: Topic = Differenial equation Correct option = c

Q: Find the arc length over the domain 0<t<5 7t 1 10) x= V-7t – 2, y=- + | 4 2

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Q: 12) What is the value of A+B in the following ellipse? The points are foci. a) 30 B) 20 c) 15 d)…

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Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 1 is…

A: Given problem:- Find the volume of the solid that results when the region enclosed by y = √x, y = 0,…

Q: Sketch the region R of integration and switch the order of integration. IT rx, v) dx dy 3 У 2 3 3- 3…

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Q: Simplify cos[arctan( -). -12/13 5/13 12/13

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Q: The intermediate value theorem can be used to prove that the equation x^2+7x+6=0 has at least one…

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Q: Select the answer option that corresponds with polar coordinates (2, 90\degree). 90°2 WIN 135° 45°_…

A: Given query is to find point of the coordinate (2,90°)