Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate method, beginning with the general solution. y(0) = 2 (y-2x)y' = 3y - 6x + 1,

Q: = - - 6q² + 700q, where R(q) is in dollars and q Suppose a product's revenue function is given by…

A: The revenue function is given by , R(q) = -6q2+700q

Q: test if (AB) =B¹A¹ A = 4 0 L3 1 2, B = 5. 4 -3 14 02

A: We  can check the matrix as below

Q: . y = 3Arcsin (2x³) -- Arccos(2x³)

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Q: A region is bounded by the y=x² and y=6x-x2, Which of the following integrals would approximate the…

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Q: log x² loga +log(xy)² +loga (*)-( log x loga xy • a, x and y are real numbers that are greater than…

A: Given that logaaxy+logaxy2+logaxy-2logxloga-alogax2Solution :logaaxy+logaxy2+logaxy-2logax-x2logaa…

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: The current population of a small town is 3947 people. It is believed that town's population is…

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Q: A 60-m climbing rope is hanging over the side of a tall cliff. How much work is performed in pulling…

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Q: A tank in the shape of a right circular cone is full of water. If the height of the tank is 10 feet…

A: answer is in next step .please give a like !!!

Q: A region in the first quadrant is bounded by the curve >= 1+ sin²x, the coordinate axes and the line…

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Q: 1 2 3 4 5 ements below that you agree with. be checking more than one box. No partial credit.…

A: Topic:- calculus

Q: and A solid is generated by rotating a plane region that is bounded by the curves y = 2² = y about…

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Q: Find the area bounded by y=-x²+1, y = −2x+2, x=-2, and y=2. A 16/3 B 5 None of these D) 4/3 E) 1/3

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Q: What is the mass in both (a) slugs and (b) kilograms of a 4390-lb car? Answers: (a) m = slugs (b) m…

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Q: Given f(x,y)=x-exy, evaluate fy(3,0). 06 O 27 O 9 O 13

A: topic- partial differentiation

Q: Which of the following is commutative with respect to addition? 8x3−y6=… Complete the following…

A: Which of the following is commutative with respect to addition? 8x3−y6=… Complete the following…

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: Topic = Derivative

Q: (c) Express the number 1.234567 as a fraction (in its simplest form) using the sum of a geometric…

A: Ans=45679/37000 For detail...go through the solution.....I have solved step by step in detail

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: We have to find the rate of change of angle.

Q: 14) lim

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Q: 11. Suppose a population grows according to a logistic model with initial population 300 and…

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Q: A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution…

A: We are given that in a 200 gallon tank , intially there was 100 gallon of water which contains 20…

Q: 2. Evaluate the integral. Do not use hyperbolic functions as the final answer. 1 =dx 2 √3x² - 4…

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Q: Evaluate Jx/2 6 sin x (cos x + 1)³ dx

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Q: Find a formula for the distance from the point P(x, y, z) to the (a) xy-plane (b) yz-plane (c)…

A: Distance between two points x1, y1, z1 and x2, y2, z2 is given by x2-x12+y2-y12+z2-z12.

Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: We can solve the given question as below.

Q: Find all points on the graph of f(x) = 9x² - 5x+5 where the slope of the tangent line is 0. The…

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Q: What integration technique can be used to integrate: A Trigonometric Substitution B Integration…

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Q: (e) 2a7/2.a¹/2 a-1 (f) √₂√b a 5 √ab

A: As we know the Rules of Exponent or Laws of Exponents . 1). ax·ay=ax+y 2). ax÷ay=ax-y 3). axy=axy…

Q: 2. Given the following logarithmic expression: log, 1+ 2log 5 + log₂ 2 +log, c-log, 100 Which of the…

A: Given: logc1+2logc5+logc2+logcc-12logc100

Q: 3. The angle between vectors A = 91-j+5k and B=(-2,7,1) is... ***** 16- 12 4. 2) shor mis

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

Q: Rewrite the Cartesian equation y = r(0) = = Enter theta for 0 if needed. 2x² as a polar equation.

A: In this question, we need to convert the given cartesian equation to polar equation.

Q: dy Q1: Find the for the following functions: dx 1- y = e(x+ln 5x) 2- y cosh-¹ sin 2x -1 3- y = asinh…

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Q: Evaluate the integral. Do not use hyperbolic functions as the final answer. 1 -dx 2 √√3x²-4

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Q: Q2: Evaluate the following integrate: 2- S(2 + 5x) es dx

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Q: Q1: Find the third Maclaurin polynomial to f(x) = sinx

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Q: For the given function f(x,y)=x²y³+3x³y, find a flay

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Q: Evaluate the integral S (2x − 8)dx - x² - 6x + 18

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Q: What integration technique can be used to integrate: Integration Formulas Trigonometric Substitution…

A: Solution is here

Q: Question 5 What is the amount of work done on a spring when it is compressed from its natural length…

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Q: can you provide another clearer solution please

A: Explanation of the answer is as follows

Q: Find the general solution of the differential equation: y' - 5y = te-2t Use lower case c for the…

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Q: 3 Safin designed and launched an app. One week after he launched the app, it had 8 400 users. Four…

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Q: In the expression n (7) x²3² +3 z" •n is a real number • x, y and z are real numbers greater than 0…

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Q: Use Laws of Exponents to rewrite and simplify each expression. (b) (2x-2)-³x-3 x3.xn xn+1 (c)

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Q: The graph C' of the equation y = gives the course taken by an oil tanker after leaving port, which…

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Q: Assume that y is a differentiable function of r such that y² = x² + 4x sec y. Find y' by implicit…

A: implicit differentiation

Q: Given: ·S- takes the form 20 A 3 8x+1 dx. If we let the substitution =√√4x-5, the final answer 4x-3…

A: Integration

Q: test if (AB)¹ = B¹A¹ A = 4 1 0 2 L3 5. B = 14 0 2 - -3 1

A: To test if ABt=BtAt.A=410235, B=14-3021

Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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