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Q: Suppose that postal requirements specify that parcels must have length plus girth at most 72 inches....

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Q: 3. A bowl of newly cooked porridge has a temperature of 75°C and is placed in a room that has a temp...

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Q: (xy + 1)dy + y(y + 4x -2)dx = 0

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Q: Find all points (x.y) where f(x,y) may have a maximum or minimum. f(x.y) = - 3x + 5xy-2y +x+y What a...

A: critical points

Q: find the laplace transform

A: The given function is: e3t+1sin 4tWe need to find the laplace transform of the function:Le3t+1sin 4t

Q: Find the amplitude, period, and phase shift of the function. Graph the function. Be sure to label ke...

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Q: 23) Fnd yp of yll-ly'+hy=48+2tesin2t (Oo not evaluate cefficients)

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Q: Find y' for y = (2(x^2+1))/(x(sqrtx+1)) using logarithmic differentiation

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Q: The volume of a cube is increasing at a rate of 10 cm/min. How fast is the surface area increasing w...

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Q: Determine any critical points, point of inflection and trace the curve. 2. y = x°(2– x²)

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Q: Jo Jo Jo 5. Use spherical Coordinates to evaluate Av16 -r² 00O00

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Q: Evaluate the integral. In(x+ 4) d.x -3 NOTE: Enter the exact answer in expanded form.

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Q: What is the y-intercept of y= csc x

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Q: What is the approximate error in the volume and surface area of a cube of edge 5cm if an error of 0....

A: Error in volume and surface area

Q: POSSIBLE POINTS: 3 Find the x- and y-intercepts of the graph of the function. f(z) - z + 12z+ 32 y-i...

A: Polynomial function is given  Find out x and y intercept

Q: Jse the areas shown in the figure below to find the following. y = f(x) Area =0.8 Area =1.5 a c d Ar...

A: To find the definite integrals using the areas shown in figure.

Q: 7d/2 ptan x secx y° cos" xdydx

A: According to question, Let I = ∫0π2∫0tan x sec x y3 cos10x dy dx

Q: Differentiate the function. y = (2x* - -x+1) (-x* +3) y' = D

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the exac...

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Q: If the position function of a moving object is given by: r(t)= 5sin(nt) V+3,el-t> Find The speed at ...

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Q: Solve using increment method: 1. y= 3+4x-x2 2. y= (x2-2)2 3. y= 1/x2 4. y= x4-2x3

A: Here is the solution

Q: Find all the critical points of the function 1 3 f(x,y) = x° -6y-7x+18y-3 What are the critical poin...

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Q: Use synthetic division to divide x° + 8x+21x + 25 by x + 3 Give your answer in the form remainder qu...

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Q: 5. (xy + 1)dy + yly + 4x -2)dx = O

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Q: 5. Find the Laplace transform of : f(t)= 5 cos? 2t.

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Q: a. f(t) = f - f + 5t + 2 b. f(t) = -2cos 6t + 5sin 6t c. + 2e-4t f (t) = 3e - 4e2t.

A: As we know that, The property of Laplace transform; La·ft+b·gt=a·Lft+b·Lgt ; where ''a'' and ''b'' i...

Q: If aj = 6, and an = an-1- 6, list the next five terms of an, starting with n = 2 {a2, a3, a4, a5, as...

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Q: Let X be a scalar random sample from the following density fG) = 02 2(0-у) for 0 < y <0 a. Determine...

A: We need to provide pivot.

Q: -1 = COS os(5x), find f'(x). Use exact values. Submit Question MacBo

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Q: Evaluate the definite integral two ways: first by a u-substitution in the definite integral and then...

A: We need to evaluate the given integral, this can be done as follows:

Q: Find the possible values of x, y, z at which f(x.yz) = 6x +3y +z-2x-2y-2z assumes its minimum value....

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

Q: 2. In the figure above, f', the derivative of function f, is shown. f is a twice differentiable func...

A: We need to find properties of f from f' graph.

Q: 433" = 3. 33-1 da O True O False

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Q: Using differentials find the approximate value of V 9.22.

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Q: Find the 4 - x' -x²(4 – x²) = 2 i5 (4 - x*) + C 3 x²(4 – x²) 5 3 15

A: Please see the solutions below.

Q: A solution is passing through a conical filter 24 in deep and 16 in across the top, into a cylindric...

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Q: Find f(x) + 2g(x)]dx if / F)]dx 5 and / [g(x)]dx = - 3. %3D -1 -1 -1 1)

A: Given that: ∫-12[f(x)]dx=5∫-12[g(x)]dx=-3

Q: 3. Find the sum of the first 42 terms in this sequence: 6, –1, –8, –15, –22.... a. What is the first...

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Q: Find the integral: J sec x tan x + cos x dx

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Q: 2. Given || cos x dA , where R is the region in the first quadrant enclosed by y=x' and R y=x. Evalu...

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Q: FInd the implicity differentiate x^2- 4xy + y^2= 4

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Q: (4x + x) V4x² + 1dx + x) V4x + 1dx

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Q: Given: g(x) = (2x + 4) (x – 6) (a) Find the critical numbers of g. (b) For what values of x is g inc...

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Q: Find the interval and radius of convergence of the series whose nth term is (3n )! ( 2n – 2 )! (6x -...

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Q: Find the limit (Please leave the answers in exact form) Use L'Hospital Rule, but please make sure to...

A: Given: limx→0sin4xxcosx

Q: Solve the differential equation using Laplace transform of y" − 4y′ + 4y = 4 cos 2t ; when y(0) = 2 ...

A: Solve given differential equation by using Laplace transform. y" - 4y' +4y = 4cos2t when y(0)=2 and ...

Q: FT- CUBE 12.7 in. Find the volume and total surface area of the cube in the figure inscribed in a cy...

A: Given:-   To find:- Find the volume and total surface area of the cube in the figure inscribed in a...

Q: d²y sin x?y = g, find where g – Earth's gravitational acceleration dx?

A: 2) The given equation is: sin(x2y)=g...(1) where g is the Earth's gravitational acceleration which i...

Q: Use synthetic division to divide x° + 6x+ 10x + 13 by x +1 Give your answer in the form remainder qu...

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Q: The function A(t) gives the balance in a savings account after t years with interest compounded cont...

A: Steps to obtain value of 't'. 1. Take approximate value of 225 on ordinate. 2. Draw horizontal line ...