dP VPt. P(1) = 2 dt %3D

Q: y 3.0f (1, e) 2.5 2.아 y-e* 1.5 1.0 /y = xe² 0.5 -1.0 -0.5 0.5 1.0 1.5 2.0

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Q: The path of cannonball is given by y(t) =-16t +160t

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Q: Use implicit differentiation to find and 3yz? – x In(yz) = z. - dx dy

A: topic -  implicit differentiation 

Q: Evaluate f(x)=5x^4+5x^3+4x^2-2 using synthetic substition to find f(-3). Please show work.

A: Given, f(x)=5x4+5x3+4x2-2 To find f(-3)

Q: Cavalieri's Principle states that if a family of parallel planes gives equal cross-sectional areas f...

A: We will use the  Cavalieri's principa to find the volume of the required surface.

Q: 9. y' + xy = xy3 10. y' = y - xy³e-2x

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Q: ,A large cube of ice melts such that it maintains its shape. The surface area is decreasing at the r...

A: Solution is written in below steps.

Q: Find the linearization L(x) of the function at a. 3 f(x) = Vx, a = 64 %3D L(x) =

A: We can find the linearization as below.

Q: Suppose an object in circular orbit stops in a 3 The terminal point is 7 position where sin(0) locat...

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Q: Use the properties of logarithms to expand the following expression. log 00 Each logarithm should in...

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Q: The particular solution of the differential equation y" – 6y' + 5y = -9e2* is O 2e^2x Зе^2x e^x

A: y"-6y'+5y=-9e2xf(D)=D2-6D+5since f(D)y=Q ; Q =keaxhence k=-9 , a=2particular integral isgiven by :yp...

Q: Solve y' = 12xy 2х, у(0) — 15 -

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Q: a) parent: y transformation: y = 2(-x + 4)5 – 1

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

Q: For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the gi...

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Q: he following 6 integrals. (b) dr J2 +1 (d) dx (f) |arcsin z da

A: We have to calculate the given integrals using properties of integration

Q: dy using the chain rule in formula (1). State your answer Compute in terms of x only. 37. y = u2, u ...

A: As you have asked for the solutions of  question 37 and 39 only, so I am solving those only. Thank y...

Q: Given two nonnegative numbers a and b such that a+b=4, what is the difference between the maximum an...

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Q: Write True if the given derivative of the function is correct. If it is false, write the correct der...

A: Dear student, Please verify and check that my answer matches with the answer given in your question....

Q: Consider the area of the region bounded by the curves y = 2x - 3x – 9x and y = x - 2x2 - 3x. If A, s...

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Q: Solve for the dimensions of a rectangle whose perimeter is 300 m with a maximum area. Let x and y be...

A: Area of rectangle = length* breadth  

Q: Find the derivative of the function. (e) = (3t + 18)2/3 f "(e) =

A: Given f(t) = 3t+1823f'(t) = d3t+1823dtwktdf(t)ndt = n·f(t)n-1·f'(t)

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values ...

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Q: evaluate f(x)=-4x^4-4x^3-3x^2+1 to find f(-5), using synthetic division with table work. Thanks

A: Given query is to find the value of the function usinge synthetic division.

Q: Find all local extreme values of the given function and identify each as a local maximum, local mini...

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Q: *The Chain Rule of Differentiation A. Directions. Decompose the following functions and complete the...

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Q: 3x Consider the integral dx: x2 + 4x + 8 This can be transformed into a basic integral by letting an...

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Q: Determine the equation of the parabola whose graph is given below. Write the equation in general for...

A: Solving the problem by finding the equation of the parabola.

Q: *The Chain Rule of Differentiation A. Directions. Decompose the following functions and complete the...

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Q: If the given values in a right triangle are cos A = - and a = 2, find the hypotenuse 1 A. 2 B. 2/2 c...

A: We have given in right triangle CosA=13 and a=2 we need to find the hypotenuse c.

Q: Find the root/s using 1) Secant Method and 2) Regula-falsi Method a. e-* - 3logx = 0 b. f(x) = e-*(x...

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Q: 6. Find the domain of the following functions (where defined) a). f(x,y) = square root x+y+1/x^2 - ...

A: We can solve as follows

Q: What is the equation of the line tangent to the hyperbola = 1 at the point (V2a, b)? y = -a+b 26 V26...

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Q: Let A = (0,0,0), B= (1,0,2), C = (2,1,1). Which of the following lines is perpendicular to the plane...

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Q: Need

A: We have to calculate the given indefinite  integral using the property of integral

Q: 4+7 sinn Σ 5/4 +7 cosn n=1 2n

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Q: Differentiate the functions

A: As per our guidelines we are supposed to answer only one question i.e. the question no 17. For the s...

Q: Find the inverse function of f informally. f(x) = x - 2 f-1(x) = Verify that f(f -1(x)) = x and f -1...

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Q: A sales team estimates that the number of hew phones it will sell is a function of the orice that it...

A: Follow the procedure given below.

Q: Find the volume of the solid obtained by rotating the region bounded by y 2+ sin x and y O from x = ...

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Q: 1 ye 15 X +3 (2)

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Q: Exponential Model. In an introductory biology lab at Brock University, students observe a certain ba...

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Q: VIII. Explique las transformaciones y realice un boceto (un trazado aproximado): 1. f(x) = x? +3 2. ...

A: 1. fx=x2+32. gx=x3-43. kx=x+22 Note:       Multiple subparts are given, we are answer with only thre...

Q: The distance (in km) of an airplane departing from Toronto Pearson Airport t seconds into flight is ...

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Q: Given the curve p(x)=x2+8, find the point on p(x) is closest to the point (3,8). Enter your answer a...

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Q: VI. Halla el Dominio y Rango de las siguientes funciones: 1. f(x) = 5x - 7 2. g(x) = x2 + 4 3. h(x) ...

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Q: 7. How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5 and 6 if the digi...

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Q: A college dormitory houses 100 students, each of whom is susceptible to a certain virus infection. A...

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Q: Find the coordinates of the points where the gradient is zero on the curve y=x+1/x. Establish whethe...

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Q: Solve the triangle for which ZA = 30\degree, ZB = 45\degree, and a = 20. Round to the nearest whole ...

A: We use law of sine to find the value of b. Follow 2nd step .

Q: If dx =16, what is the value of a ? a Round your answer to two decimals. Write 'Diverges' if the int...

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