dy Given the equation below, find 20z + 4x®y+ v 15 dy

Q: Con sider the funtion fex)=1 X+3 alt A) using a limit, Sh ow that Part B) Fid the eauation of the

A: Here, the given function is: f(x)=1x+3

Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(3) when the deri...

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Q: Given that Y = 3wt- 7wt Jo

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Q: 3. f (x) = V1+ v1 – x 4. у %3

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Q: Which of the following equations has amplitude = -2, period = 4, phase shift = - I? %3D y = -2cos8(x...

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Q: 2 Using the definition of derivative, prove the following: (a) f'(x) = x if f(x) = x %3D

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Q: Consider the given system. 2x + y == 0 Graph the inequalities on your graphing calculator, and fin...

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Q: A cardioid is a heart like shape that you learnt in Math 140 when learning to plot using polar co-or...

A: This question is based on finding equation of tangent line at a point on a given curve.

Q: A culture of yeast grows at a rate proportional to its size. If the initial population is 2000 cells...

A: Here, the initial population given is 2000, and its doubles after 2 hours.

Q: COSX (25) Find the area between the curve y= and x-axis and x 1/2, x 1/6 sin x

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Q: 3.) y tanʼxdx +ln* ydy = 0 dy_ (y?+4) Inx In (y?+4)Y 5) dx

A: y tan2x  dx + ln4y dy = 0∫-tan2x  dx =∫ ln4yy dy∫(1 - sec2x) dx  = ∫ t4 dt   (where, t = ln y)Hence,...

Q: Find the slope of the function's graph at the given point. 8 Function: 9(z) %3D Point of g is at (2,...

A: Slope of the tangent is obtained by dy/dx

Q: Find the derivative. 1. y = Vx2 – 5 2. y = (2x? – 1)3(3x² + 1)3 (3x²-7)* (3x²+5)4 %3D

A: Since you have posted multiple questions I can do first three question as per our company guidelines...

Q: 6. Evaluate the following integral: [sin 8x cos 5x dx

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Q: sin r lim ,3 81.

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Q: is an angle in standard position with T(-20, -21) on its terminal ray. Find sece O -29/21 -29/20 29/...

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate the integral. 2Vy dy Vy e dy =

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Q: Match the following items. On the unit circle with its center at (0, 0), an arc with central point P...

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Q: Find the equation for the plane through the points Po(1,5,5), Qo(- 1, – 5, – 5), and Ro (2,0, – 4).

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: 1. Solve the system by using A-1, the inverse of the coefficient matrix: x-3y+z =1 2х - у+ 2z %3D2 x...

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Q: ) Suppose that {am}n20 diverges and {bn}n20 converges. Then the sequence {am · bn}n20 diverges. 7. I...

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Q: Provide a diagram where limx→a f(x) exists, f(a) is not defined and f(x) is not continuous at a. Wha...

A: A function f(x) has properties,limx→af(x) exits, f(a) is not definedfx is not continuous at x=a cont...

Q: The total cost (in dollars) of producing x coffee machines is C(x) = 2200 + 30x – 0.1x?. the exact c...

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Q: a. Graph the following system of equations. y = -3x y = x + 4 b. What does the graph show to be the ...

A: We have to Graph given system of equations after that we have to find its solutions.

Q: Find dy/dx: (a). y = cos 8x + sin r2, (b). y = Vcos 8x + sin x². %3D

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Q: Based on a study of population projections for 2000 to 2050, the projected population of a group of ...

A: Expression for average rate of change of any function f(x) where, a ≤ x ≤ b. is:   = f(b) - f(a)b-a

Q: Graph the linear function f(x) = - 4x. Identify if it is a constant function. Give the domain and ra...

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Q: The base of a solid is the segment of the parabola y²=12x cut off by the latus rectum. A section of ...

A: The base of a solid is the segment of the parabola y²=12x cut off by the latus rectum. A section of ...

Q: - y=-2x + 2 6. у%3D-2х -2

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Q: Let f(x, y) = x* + y* – 4xy. (a) Find all critical points of f. (b) For each critical point of f, us...

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Q: Lesson 7 CL Activity # 1 #4 4. S(x) = (2x-6)* 4. f(x) =- (x+3) (2х-6)

A: We are asked to find the second deritives.

Q: (+++)" В. y C. y = 2x/x² + I

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Q: Choose the correct graph of F(x) = 2 sin(2x + T): 2 1 十4 -1 -2

A: Given query is to find the graph for the sine function.

Q: 84. A man is on a wharf 4 m above the water surface. He pulls in a rope to which is attached a coat ...

A: Given that: Height of wharf above water surface, h=4mRate of pulling=2m/sec

Q: Given the geometric sequence: 25, 6.25, 1.5625, . .. Find an explicit formula for an- 25 n-1 an Find...

A: We know for a geometric sequence with first term a0 and common ratio r, the nth term an is given by,...

Q: A wheel turns 1,800 revolutions per minute. How fast does it turn in radians per second? Type pi for...

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Q: Now recall the general version of the power rule, where n is any real number. d = nx" – 1 dx Applyin...

A: Basic derivative problem

Q: 7. Let f(x, y) = In(x)+2 ln(y) – x – 4y. Find the critical point of f and determine if it is a local...

A: Let's find. 

Q: 10. Bonus: Let y = Va + Vx + Vx+ ... to infinity. What is the expression for y'? (Hint: Try to find ...

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Q: A new car was purchased at a cost of $25,000. The car depreciates approximately 15% of its value eac...

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Q: coS X =dx sin? x

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Q: Identify the quadric surface each of the following equations represent and sketch its graph.

A: Given that: 4x2-y2-25z=100

Q: If ut and and u Uk are convergent series, then (uk + vx) and -) are convergent series and the sums o...

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Q: Given the geometric sequence: 25, 6.25, 1.5625, ... Find an explicit formula for an. an = Find as = ...

A: The given geometric sequence is: 25,  6.25,  1.5625,  ....

Q: Write the function in the form f(x) = (x - k)q(x) + r for the given value of k. %3D f(x) = -4x3 + 6x...

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Q: Find the 11th term of the geometric sequence with az = -125/2 and a10 = -9765625/256 a11 =

A: Given that: Terms of the geometric sequence are:      a3=-1252 and a10=-9765625256

Q: Disney+ Use the matrices below to perform matrix multiplication. 4 -5 11 4 6 5 B = D = 9. 1 %3D -9 0...

A: Please refer to the image below

Q: |(2 + v=)'dz x) dx

A: integration is:-

Q: Find the inverse function of F F(x)=x-6/x+6

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Q: Find the curvature κ of r(t) = at t = 0. Simplify your answer

A: use curvature formula for vector valued function.