dy = 6x– 2x + 1 cos y + eY %D dx

Q: if r 1 4 3 -5 -4 -3 -2 -1 -1 2 4 5 -2 -3 -4 -5 Clear All Draw: Note: Be sure to include closed or o...

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Q: A spot light is on the ground 20 ft away from a wall and a 6 ft tall person is walking towards the w...

A: This question can be solved by applying the concept of rate of change of physical quantities.

Q: A. Determine the indicated derivative for each of the following functions. x3 cos y 1. Find fxzy for...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: local extrema, if the test applies. Otherwise, use the First Derivative Test. f(x)=x^4+8x^3+2 Enter...

A: Given query is to find local extrimas.

Q: 12. Let R be the region of the plane R= {(r, y) : # 2 0 and ²+ y? < 2}. Describe R using polar coord...

A: Here, the given region is: R=(x,y):x≥0 &amp; x2+y2≤2

Q: 1 Draw the region over which we are integrating, change the order of integration (that is, write thi...

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Q: Watch the video on integrating an inverse trig function using trig substitution e before answering t...

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Q: Write the formula for the derivative of the function. f(x) = 11x4 + 15x3 + 9

A: Given query is to find the derivative of the function.

Q: d'y dy and dx 2. Find by implicit differentiation. dx? 5xy? = 1

A: The given function,    5xy2=1

Q: |X - 2 if x 0 (a) lim f(x); (b) lim f(x); (c) lim f(x) X0 X0*

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Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

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Q: Use are length formula to find the Of the line segment y=l1-7x, OLx

A: solution:-y=11-7x,   0≤x≤5dydx=ddx11-7x=-7Arc length formulas=∫ab1+dydx2dx  

Q: Solve

A: We will find the graph corresponding to the Differential equation

Q: (x+1)dx 9. S x(x²+1)

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Q: Кр хр 3. Given the equation below, find –5xy² +2* = 3/y

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Q: 2. Set up only the integral(s) that will compute for the area shaded region. y =-4 y=r+2 y = 2r -

A: Explained below 

Q: Find the nth Maclaurin polynomial for the function. 2x 3 f(x) n = 4 x + 1 Pa(x) =

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Q: Use n= 6 and p = 0.75 to complete parts (a) through (d) below. .. (a) Construct a binomial probabili...

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Q: 1 Draw the region over which we are integrating, change the order of integration (that is, write thi...

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Q: solutions using Integrating Factors Found by Formulas y(y + 2x − 2)dx − 2(x + y)dy = 0

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Q: 2. Create one function containing the following characteristics: a. Removable discontinuity at x = 2...

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Q: The rate (in mg carbon/m/h) at which photosynthesis takes place for a species of phytoplankton is mo...

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Q: Sketch the region bounded by the graphs of the curves y = V+ 4, y= 4 – x, and r= 4. Then find the vo...

A: Given :    y = √x + 4     y = 4 - x     x = 4   Volume about x = 4

Q: az ) Use Implicit differentiation to find ax and for x2 – y2 +z? – 2z = 4 ду

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Q: 10. Seta x² dx A 2 е** + C с 1 + С B 3 e** + C D 1 + C 3.

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Q: The height (in meters) of a projectile shot vertically upward from a point 4 m above ground level wi...

A: We need to find velocity and height.

Q: 4. Find the slope of the line tangent to the graph of the equation -ey +y° = 7+ 2x at the point (0,2...

A: Given query is to find the slope of the tangent at given point.

Q: A person starts walking from home and walks: 5 miles East 5 miles Southeast 6 miles South 2 miles So...

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Q: (3+ х) lim 1— (3-х)1

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Q: Given f(x) = 2 /x + 2, find f'(x) using the limit definition of the derivative. f'(x)=

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Q: 9. Find all second order partial derivatives for the following functions: a) z = xe-2 + xIn(y) + y I...

A: f(x,y,z) = x cos(y+2z)∂f∂x = cos(y+2z) ddx(x)∂f∂x = cos(y+2z)∂2f∂x2=ddx[cos(y+2z)]∂2f∂x2 = 0 

Q: The function f (x) = – 2x3 + 33x? 168x + 9 has - one local minimum and one local maximum.

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Q: 7. Evaluate the integral r8-2x (x + y + 1)-2 dydr.

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Q: 15. Determine the general antiderivative of f(r) = %3D r4 + 10 a. In r – 10| +C b. 4ln |r* – 10| +C ...

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Q: What is the median of the set consisting of the first ten prime numbers?

A: We have to find the median of the set consisting of the first ten prime numbers.   Prime numbers are...

Q: Use substitution method to prove step-by-step that (PAQ)A(P = -(QAR))A(S = R) = -S.

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Q: Let f (x) = x³ + x². a) Find a point c satisfying the conclusion of the MVT for f(x) over the interv...

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Q: 2. S 1 dx | (2x + 1)3

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Q: Use the method of Frobenius to solve the given equations. a) 2x?y" – xy' + (x² + 1)y = 0 b) 2x?y" + ...

A: Since the solutions of the given equations are very lengthy in Frobenius Method , i gave the solutio...

Q: dæ What substitution could you make to solve the integral with Vx²+4x+8 a trig sub? x + 2 = 2 cos 0 ...

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Q: |X - 41 2) + 2 <0 IX + 31

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Q: 2.5. Give an example of a bounded function f and an increasing function a defined on [a, b] such tha...

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Q: Evaluate the following. 1. lim (2x – 11) x-4 x+4 2. lim x-2 l(x-1)(x+2),

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Q: A particle moves counterclockwise around the ellipse with equation 9x? + 16y² = 25. a) At what rate ...

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Q: A substance N1 decays with a half-life of 45 seconds to substance N2. N2 has a half-life of 5 minute...

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Q: Identify which type of infinite series the given series belongs to. Then, use it determine whether t...

A: To find the nature of this series, we have to simplify the term given. 

Q: Find the slope of the tangent line to the graph of the given function at the given value of x 1/2 3/...

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: 7. ex-4e-3 dx x- A 2 x + + С 2 + С et В х+2 е х + О D х - 2 е * + С

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Q: what is the directrix of this? (x-4)²=-24(y-2)

A: The given equation is  (x-4)2=-24(y-2)