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Q: 9x* - 6x - 36y + 37 = 0 (x, v) = ( | center y) = focus (x, y) = (smaller x-value or only focus) (x, ...

A: 9x2-6x-36y+37=0 On simplification, we get ⇒36y=9x2-6x+37⇒36y=9x2-23x+37⇒36y=9x2-23x+19+37-1⇒36y=9x-1...

Q: Find the derivative of the function y=23x+3x4.

A: Given:y=23x+ 3x4Derivative formula:ddxxn=n.xn-1

Q: Define g(3) in a way that extends g(x) = (x2 - 9)>(x - 3) to be continuous at x = 3.

A: gx=x2-9x-3

Q: Find local extrema and saddle points of the function f(x, y) = y^2 - 3y cos x , -1 ≤ x ≤ 7

A: Given: fx,y=y2-3ycosx,  -1≤x≤7

Q: dt Explain what is wrong with the following integral: |t| VE2 – 1

A: given  I=∫-111tt2-1dt from I  ft=1tt2-1domain of f(t) is t>1,t2-1>0therefore-1<t<1

Q: Let f be differentiable on an interval A. If f'(x) not equal to  0 on A,show that f is one-to-one on...

A: Given that, Let f be differentiable on an interval A. If f'(x) not equal to  0 on A. We have to show...

Q: Determine whether the equation defines y as a function of x : x + y = 25

A: Given equation is x+y=25   .....1

Q: Find the area of the region under the graph of f(x) = ln(x) from x = 3 to x = 11.

A: Given function : f(x) = ln(x) To find the area of the region from x=3 to x=11 To find the area of th...

Q: Please use disk method and sketch!

A: First of all we find the intersection point of the curves y=8-x2   and  y=2x , So 8-x2=2x ⇒  x2+2x-8...

Q: Integration review Evaluate the following integrals.

A: ∫secθ+cscθsecθ cscθ dθ=∫secθsecθ cscθ+cscθsecθ cscθ dθ=∫1cscθ+1secθ dθ=∫sinθ+cosθ dθ=-cosθ+sinθ+C

Q: please help me fast

A: di = dopamine initial dosage rate (mcg/kg/min)dm= dopamine maximum dosage rate (103mcg/kg/min) r    ...

Q: dy is let y = (sin æ)*tan z then dx %3D :Select one (sin æ)tan z [1+ sin² x ln(sin æ)] .a (sin æ)tan...

A: Given: y=sin xtan x To determine: dydx

Q: Evaluate the following integral

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Q: Hi,  Requesting some assistance in answering the question in the picture please. show calculation st...

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Q: Find the derivative of the function.

A: Given function is, F(x)=∫0e2xln(t+1)dt

Q: Evaluate the derivative of the following function. ƒ1x2= x sin-1 x

A: Given: fx=xsin-1x  we know that ddxu.v=vdudx+udvdx                                        ..1

Q: Sketch the region bounded by the curves, and visuallyestimate the location of the centroid. Then fin...

A: Given: y=2x,y=0,x=1

Q: The height of a ball t seconds after it is thrown upward from a height of 6 feet and with an initial...

A: Concept:   The calculus helps in understanding the changes between values that are related by a func...

Q: Answer the following questions: Information:                         x²+y²+4x+3=0 ~ CIRCLE          ...

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Q: Dot products and angles Compute the dot product of the vectors u and v, and find the angle between t...

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Q: Find the antiderivative

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Q: Area of a triangle Find the area of the triangle with vertices on the coordinate axes at the points ...

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Q: Find the derivatives of the functions s = cos4 (1 - 2t)

A: Given: st=cos41-2t we know that ddxxn=nxn-1                                                  ..1ddxc...

Q: A building that is 250 feet high casts a shadow 40 feet long.Find the angle of elevation, to the nea...

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Q: Solve as required : Given : Z = 3x?y³ – 4x*y? from the given, solve the followin d) e) Zxy f) Zoxy

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Q: Need help with question one

A: Given, y=xy=x2y=2

Q: Continuity of a piecewise function Let For what values of a is g continuous?

A: Given: gx=1-cosx2xif x≠0aif x=0 We know that a function is continuous at x=c if: limx→cfx=fc Therefo...

Q: Decomposing vectors For the following vectors u and v,express u as the sum u = p + n, where p is par...

A: the given vectors are: u=-2,2v=2,1 we have to decompose the vector u such that sum u=p+n where p is ...

Q: Convert the polar equation r sin (θ - π/4) = 2 to a rectangular equation. Then determine the graph’s...

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Q: Find f, f'(x) = 20x3 + (1)/(x), x > 0, f(1) = -3 f(x) =

A: Givenf'x = 20x3 + 1x, x > 0, f1 = −3

Q: Finding a constant Suppose x? 5x + 6 if x + 3 f1x2 = c х — 3 if x = 3. а Determine a value of the co...

A: Given- fx=x2-5x+6x-3  if x≠3      a           if  x=3 To find- the value of a for which limx→3fx=f3

Q: State true or false  -13 < -5

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Q: Give an example of obtaining the complete graph?

A: A graph is a complete graph if  each pair of graph vertices is connected by an edge. The complete gr...

Q: Use the matrices below to perform matrix multiplication. 5 10 4 6 В - C = -2 7 -10 0 12 8.

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Q: Determine whether the improper integral diverges or converges. Evaluate the integral if it converges...

A: Given, ∫51010xdx This is improper integral, So we can write it as, ∫51010xdx=limt→0∫t510xdx∫51010xdx...

Q: Find the derivative of f(x)=2/3x

A: Given is fx=23x. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating the given fu...

Q: Find the first derivative for y= etanx

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Q: When you multiply two powers of the same number, what should you do with the exponents? When you rai...

A: When we multiply two powers of the same number, we simply add up the exponents. For any two exponent...

Q: Find the first derivative for y = 5 cos x

A: Given,          y=5cosx

Q: Evaluate the integral.  integral  sec  6x  tan  x  dx

A: Given integral  sec  6x  tan  x  dx

Q: Find the limit

A: Given data: The expression for the given limit is a=limx→∞ex+x1/x. Substitute the given value of lim...

Q: Write a function in any form that would match the graph shown below.

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.