E. Find the cartesian equation of the following: 2. r2 cos(20) = 4 %3D

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A:

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Q: Find the equation of the family of orthogonal trajectories of the system of parabolas y? = 2x + C. y...

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Q: Divide the numerator and the denominator by the highest power of x in the denominator and proceed fr...

A: Firstly , we can divide denominator and numerator by the highest power of 'x' and then find limit.

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A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: Fx=fx9 ; Gx=fx9a8=12...

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Q: 1-2) Use the 4 step process or the increment method to get the derivatives of the following function...

A: 1) y=4x2+3x2) y=2x-13) y=4x4+2x3-3x2+7x-15

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Q: Consider the graph of the function f(x) shown below. y -5 -5 5

A: Given that: Graph of f(x)

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Q: write the slope-intercept forms of the equations of the lines through the given points •parallel to ...

A: Given: (a) Point:(-1,0);Line:y=-3(b) Point:(2,5);Line:x=4 

Q: Find the derivative of:-6 sin(- 2x*). Hint: sin (x) [sin(x))*...so .so use the chain rule (twice!).

A: We will find the derivative of the given function.Below find the solution in the image.

Q: y = C1 + C2 cos x + C3 sin x, (-∞, ∞); y"' + y' = 0, y(n) = 0, y'(m) = 7, y"(n) = -1

A:

Q: 15 2 3 4 5 6 -2 -3 -4 The graph above is a transformation of the function x? Write an equation for t...

A: Let f(x) =ax2 +bx+c and passing points are               (-2, 2), (-1, 4), (-3, 4)  and find values ...

Q: Given f(x) = 250 e 0.04x solve f'(x) = 100. %3D X = (Round answer to nearest tenth.)

A: Given that: f(x)=250e0.04x

Q: Consider the function f(x) = Complete the table below and sketch its graph. x 2 |-1 |-0.5 -0.1 F(x) ...

A: Given Data: fx=x+1x2+x

Q: 24 - dx /3- 4x (х + 1) 3.

A: Given that:                        

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A: Given  sequence xn is bounded  we want  to show that  limn→∞xnn=0

Q: The equation of the plane through the point (2, 5, 7) that is parallel to the line 7(t) = 3î + 2 – 2...

A: Explained below 

Q: 3. Given r(t) = 12ti + 5cos t j + 5 sin t k , find the unit binormal vector and torsion.

A: Given that: r(t)=12ti+5cost.j+5sint.k

Q: Use the Simpson's Rule to approximate the given integral with n = 8. (Find S8.) Round your answers t...

A: Given,∫0211+x6dxHere n=8, therefore h=b-anh=2-08h=14 Now we create table  x 0 1/4 1/2 3/4 1 5/4 3...

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A: Given that : h(x) = f(x).g(x) and h(x) = f(x)/g(x) and h(x) = f(g(x)) To find : h'(2)

Q: A cup of hot coffee is placed in a cold room.  The temperature (in degrees Fahrenheit) of the coffee...

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Q: Find (without using a calculator) the absolute extreme values of the function on the given interval....

A: Absolute minimum = lowest value of the given function within the domain.   Absolute maximum = highes...

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: das sdas :: consider the curve satisfying yll =6x and is tangent to the line y=5-3x at x=1. what is ...

A: Given that: Curve y''=6x and tangent to the line y=5-3x at x=1

Q: Consider the graph a function f along with its inverse fI, The slope of the tangent line to the (1.)...

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Q: 1- y = vx – 1 dy 2- y = prove that (sin x) dx = cOs x

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Q: Find the area R -region bounded by the curve y=1/x^2 and the lines y=x and y=x/8.

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Q: Two ships leave the same port at noon. Ship A sails north at 17 mph, and ship B sails east at 10 mph...

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Q: The solution of the differential equation     D3(D−2)5(D2+3D+4)(D2+5D+1)3y=0 contains how many arbit...

A: use the roots of homogeneous differential equation.

Q: Consider the following equation of a circle. (x- 8) + Step 3 of 3: Find three points that lie on the...

A: The given equation of the circle is: (x - 8)² + (y + 6/5)² = 25/9   

Q: WCLN PCMath 12 - Rev. 2019 o 10 Lesson 2- Solving Trigonometric Equations for Exact Values r olaluot...

A: Given:- (tan(θ) +1) (√2sin(θ) +1) (2cos(θ) -1) =0 To find:- Solve the given problem interval [0, 2π]...

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Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: The given integral is: F(θ)=∫cos3(θ)+sin(2θ)-3cos(θ)sin3(θ)+3cos2(θ)+2sin(θ)-3dθ

Q: с) dx + 8 (x) dx A) True B) False

A: We have to solve TRUE/FALSE

Q: Calculate the Taylor polynomials T, and T3 centered at x = a for the function f(x) = 19 1n(x + 1), a...

A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=0+ddx...

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A: Given:     y = e4x      z = e5x   

Q: 11) lim -3sin (x)= X→ +∞ A) 0 B) +o C) DNE D) 1 12) Use SPECIAL LIMITS and SQUEEZING THEOREM to find...

A: We expert are following guidelines.We are supposed to do first question. Kindly repost the second qu...

Q: Solve the separable equation using the integral factor  Sinx dx + ydy = 0, when x=0, y=1

A: Topic:- application of integration

Q: It is DC if not. 1. Answer C. a. lim f(x) X-2 b. lim f(x)

A: Given that: 2. Graph of f(x)

Q: If g(x) = 3x2- 4x +5 ; G(x)=x3 – 2x2+ 5x , then G is the anitiderivative of f . A) True B) False

A: Let's find. 

Q: C. Find the slope and the equation of the tangent line to the curve 1) у 3 2x? - Зх + 1 at (-1,6) 2....

A: Given that: 1. y=2x2-3x+1      at (-1, 6)2. y=x2+x+1           at (-2, 3)3. y=3x2-x+1      at (1, 3)...

Q: 6. x+1 f(x)= x?ーx-2 !! 8. f(x) オー1 10. sa) = {*, **1 s(x) = 0, %3D X=1

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Q: baseball team plays in a stadium that holds 56,000 spectators. With the ticket price at $10, the ave...

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Q: The function f(x, y) = sin(/3x² + 3y²) corresponds to plot [ Select ]

A: Find your answer below 

Q: I. Find the limits of the ff by applying the limit theorems. 6. lim vx² + 5x + 2 1. lim 2021 x→12 x→...

A: 1. limx ~12 2021, function f(x) = 2021 is independent of x limit is 2021   2.  limx~7 4x - 3 putting...

Q: ' (x5–x³– 6x) dx is the same as x²+2 A |(13- 3)dx |(+3)dx В 4x dx x²+2 D x³+x- 8x dx x²+2 E .3 x'+x-

A: Solution: ∫x5-x3-6xdxx2+2  

Q: Reduce the equation to standard form, classify the surface and sketch it    4y2 + z2 - x - 16y - 4z ...

A: Given: 4y2 + z2 - x - 16y - 4z + 20 = 0

Q: B. IDENTIFICATION, Determine if each function is continuous. If the function is not continuous, find...

A: Infinite discontinuity is  a type of discontinuity where one sided or both sided limit go towards in...