Create Representations to Communicate Math find the total surface area of each prism. 1. 2. 6 f 29 cm 6.5 cm L 19 cm 6 ft 6 ft

Q: Solve the differential equation dy 1 dx Зу3 By the method of separating the variables

A: To solve the given differential equation.

Q: Find the Area bounded by: x = -y2 and x =y-2 %3D

A: This question can be solved using the concept of area bounded by two curves.

Q: Match the function with one of the graphs below using horizontal asymptotes as an aid. Am 0.5 0.5

A: This question is based on graphing a function using horizontal asymptote.

Q: Using the Optimization in Derivatives, solve the following problem: A 150-room hotel in Reno will…

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Q: Solve the given differential equation by undetermined coefficients. y'' − 12y' + 36y = 24x + 2…

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Q: Find the area of the region enclosed by the inner loop of the curve. r = 2 + 4 sin ?

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Q: Find all solutions in [0, 2π): 2 sin (x) - sin (2x) = 0: 4.8 00, π R/+ 4

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Q: roblem 5. A cup of coffee has temperature of 200 degrees Fahrenheit and is placed in a room that has…

A: Topic:- Newton law of cooling

Q: Let C₁ be the curve with parametric equations I= cost, y = sint -t, where t € [0, 1]. (a) Find the…

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Q: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 =

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Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Given the query is to find the point of diminishing returns.

Q: Find the exact length of the curve. y2 = 64(x + 1)3,   0 ≤ x ≤ 1,  y > 0

A: Given,             y2=64x+13 , 0≤x≤1 , y>0To find : Find the exact length of the curve.

Q: A person's weight increases with height through approximately the end of the teenage years. Dan's…

A: In this question ,we can find Dan's weight .

Q: 5x-10 Find the area under the curve of f(x)=- 05 O-10In 2 O 5-10lm 2 0-5 from 1 to 2.

A: Solve the given

Q: A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with…

A: Given problem:- A cardboard box manufacturer wishes to make open boxes from rectangular pieces of…

Q: Gasoline is pouring into a vertical cylindrical tank of radius 5 feet. When the depth of the…

A: Volume of cylinder(V)=πr2hSubstitute r=5V=π52hV=25πhDifferentiate w.r.t 't'

Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 3 1 = lim t+oo 8t² +9' 5t, (?, ?)

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Q: Let f(x) = 2x³-7x² + 4x. a. On what interval(s) is f'(x) > 0? b. On what interval(s) is f(x)…

A: Given problem:- Let f(x) = 2x3 - 7x2 + 4x .   a. On what interval(s) is f'(x) > 0?   b. On what…

Q: 5. A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second…

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Q: n=5   Use taylor series to approxim. from the interval of: 0-1.5   e^(x^2)dx   Round to 4…

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Q: dr

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Q: Perform the indicated operation if possible. If not possible, enter "DNE": -9 5 5 2 0 5 -2 -5-9 -7 4…

A: We have to perform the given operation.

Q: Find the sum 11-"+2.6"+1. (Hint: Use Geometric Series)

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Q: Select the conic section represented by the equation. 4x 2 + 3 y 2 - 2 = 0 parabola point ellipse…

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Q: ield F = (A, B, C) such that A = 2zx, B = 3z + 2y, 0,0,0) = 1 and C is independent of

A: We have to find the following conditions according to the given information

Q: x2 – 3x – 2 - if x 4 f(x) = /2x + 1

A: To find which discontinuity is at x=4.

Q: 6. The partial graph of g(x) is shown below. (x)8 76 5-4-3-2 -1 23 4 5 -2 |-6 and the point A' (-1,…

A: The partial graph of g(x) is given.  It is also given that, g(x)=-2f14x-6 and the point A'(-1 , 4)…

Q: Find the minimum value of f (x,y,z) = 2x² + y² + 3z² subject to the constraint 2x - 3y - 4z = 49

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Q: Question 1 of 8 - /5 View Policies Current Attempt in Progress Find the arc length of the parametric…

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Q: 1 lim (x² –1)sin x+1

A: To find out the limit.

Q: 1. In any polyphase system, the value of the angular interval between each phase is 120 degrees Must…

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Q: Solve the following: 1. Create a table, a verbal description, and a piecewise function to represent…

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Q: 16. بين ما اذا كانت تقع النقطة N على المستقيم AB ام خارجه N=( 2,1.5,3 ), B ( 0,1,2), A ( 4,2,4)…

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Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

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Q: f(x) = -x² + +9 square units

A: Given the query is to the area bounded by the curve.

Q: Evaluate y' of the given functions y = /3x + 4)(x + 3)

A: We can find the derivative as below.

Q: Without eliminating the parameter t, find a Cartesian equation for the lin curve C, defined by the…

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Q: 4.0 mR/h = A. 0.004 R/h B. 0.04 R/h C. 400 R/h D. 4000 R/h

A: Problem statement is not given so considering unit conversion by given options.

Q: Find dy/dx: 1. у %3D Vu du

A: Given: y=∫0t4udu

Q: Use Newton's method to approximate a root of the equation z + c + 3 - 0 as follows. Let I, = -1 be…

A: Let's find.

Q: Find the eccentricity of 8x 2 + 6y 2 - 32x + 24y + 8 = 0. 2 1/2 2√7

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Q: lim * 0 sin5x'

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Q: Find an equation of the tangent line to the graph of the function at the given poin y = x²ex - 2xex…

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Q: 1. Find the first partial derivative of z with respect to x if x'y+ y°z+ z'x = 11.

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Q: Consider the vectors. (-6, 2), (8, 1) (a) Find the dot product of the two vectors. -46 (b) Find the…

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Q: Find the Taylor series for f (x) centered at the given value of a. f (x) = cosh x , a = 1.

A: The Taylor series for f(x) centered at a is given by f(x) = f(a) + f'(a)1!x-a + f''(a)2!x-a2 +…

Q: Solve the linear differential equation dy 2y x2 - dx 1+x2 x2 y = x² tan-1(x) + c y = + c 1+x2 Option…

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Q: Which of the following are vertical asymptotes of the function f(x) = 5x(x-2)(x+4)² (x²-4) (x²-16)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use the properties to evaluate the integrals. S (1+) du 1.

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Q: Solve the linear differential equation dy 2y x2 dx 1+x2 x2 y = x? tan-1(x) + c y 1+ x2 =1+x² +…

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