In Exercises 5-24, compute the derivative. h(t) = 9 csc t +t cott

Q: Which of the following is the particular solution to the DE y(9x – 2y)dx – x(6x – y)dy = 0; y(1) = 1...

A: Given differential equation is y9x-2ydx-x6x-ydy=0 and y1=1 Given differential can be written as: y9x...

Q: Find the derivative of y = 8x® + 5ª + 21. dy dx ||

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Q: A particle moves in a straight line according to the law equation of motion s = t2 – 20t + 20  where...

A: s = t2 – 20t + 20dsdt represents velocity of the particle hence when particle stop velocity will be ...

Q: #22 Convergent? Why?

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Q: Evaluate the integral.

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Q: List the first five terms of the sequence. (-1)" - 1 an Te %3! 1. 2.

A: Since you have asked question with multiple sub-parts in a single request, we would be answering onl...

Q: Systems of Nonlinear Equations Solve the system and graph the curves. x2 + 3x − y + 2 = 0y − 5x = 1

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Q: Evaluate the integral. "a/3 6 sin(0) + 6 sin(0) tan2(0) do sec?(0)

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Q: Solve the indefinite integral, with steps

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Q: Complete the square to write the equation of the sphere in standard form. Find the center and radius...

A: 9x2 + 9y2 + 9z2 − 6x + 18y + 1 = 0

Q: Find a function f whose graph is a parabola with the given vertex and that passes through the given ...

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Q: Find a power series representation centered at 0 for the given function using known power series. 1 ...

A: By geometric power series ∑k=0∞tk=11-t   Represent  f(x) as power series using the the above  f(x)=1...

Q: Find the dimensions of a rectangle with a perimeter of 200 feet that has the maximum area. Introduc...

A: Given Find the dimension  of rectangle wutg a perimeterr  of 200 ft  and has maximum area

Q: Consider the following function. y = -3.5 cosx + 4) (a) Using pencil and paper, not a graphing utili...

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts. Plea...

Q: Find an equation of the tangent line to the graph of the function f (x) = (2x – 1) In x when x = 1

A: Given function is f(x)=(2x-1)ln(x) Slope of the graph of f(x) at any point is given by, m=f'(x)  

Q: Find dy/dx  (a) x= 6 sin 24t + 154 and y = 6 cos 24t + 15 (use parametric differentiation) (b) x5y8+...

A:   To Find dydx (a) x= 6 sin 24t + 154 and y = 6 cos 24t + 15 (use parametric differentiation)  (b) x...

Q: Section 12.8 - Maximum/Minimum Problems

A: answer and explanation is given below

Q: Section 12.8 - Maximum/Minimum Problems

A: differentiate f(x,y)=(4x-1)2+(2y+4)2+1 partially with respect to x and y to obtain the values of fx ...

Q: Find a formula for the exponential function passing through the points (-1, 4/3) and (1, 12).

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Q: For the parametric equations: x(t) = t^2 and y(t) = ln t (a) find a Cartesian equation  (b) sketch t...

A: Given thatx(t)=t2 and y(t)=lntFrom y(t)=ln(t) we get t=eyThen we plug it in x=t2So, x=ey2or, x=e2y

Q: Suppose that AABC is a right triangle with 2C = 90°. If AC = BC = 8, compute the following. (Enter y...

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Q: The demand for monorail service in the three districts of Utarek on Mars can be approximated by q = ...

A: Given that: The demand for monorail service in the three districts of Utarek on Mars can be approxim...

Q: Find the volume of the solid region bounded by the cylinder z = y², the ry-plane and the planes I = ...

A: The solid region bounded by the cylinder z=y2, the xy-plane and the planes x=0,x=1,y=-1,y=1. We have...

Q: Evaluate the limit, using L’Hôpital’s Rule if necessary

A: Given- limx→∞xx2+1 To find- The value of the limit. Concept used- The above limit expression can be ...

Q: Find the largest volume of a rectangular box inscribed in a cone of base radius r and the height h.

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Q: Determine whether f(x) = x4 - 2x2 + 1 is even, odd, or neither. Describe the symmetry, if any, for t...

A: For a function of the form y=fx, If f-x=fx, then fx is called an Even Function. If f-x=-fx, then fx...

Q: Find the equation of the tangent line to the graph of x2y2+4xy = 0 at the point (-4, 1).

A: Given: x2y2+4xy=0  at point -4,1

Q: Find the Maclaurin Series  1) f(x)=e-x^2 2) g(x)=cos2x 3) h(x)=ln(1+4x) Show work please, thank you

A: since you have asked multiple question, so we will be answering only first question.

Q: aluate the integral. Зл/2 3|sin(x)| dx

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Q: Let f (x) = x1/2 for 0 ≤ x ≤ 1.Find Lf (P) and Uf (P) (to the nearest thousandth) for f and the part...

A: Given: fx=xa=0b=1n=9 The value of LfPis calculated as,

Q: If cos t = - 40 and if the terminal point determined by t is in Quadrant III, find tant cot t + csc ...

A: in third quadrant csc t is negativelet us calculate csc tby Pythagoras theorem in a triangle isH2=B2...

Q: Find the general solution for the first order differential equation: dy/dt = 10 – 25ya. Using a vari...

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Q: Show that the tangent lines to the curve y = (π sin x)/x at x = π and x = -π intersect at right angl...

A: The equation of the curve is y=πsinxx

Q: The graph of a cotangent function is given. Select the equation for the graph from the following opt...

A: We have given graph of cotangent function. We have to find equation for the given graph.

Q: 4. Consider a plane P that contains the points A(2, 0, 3), B(1,5, 2), and C(0,7, 1). (a) Write the e...

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Q: Activity 1. Determine the volume formed by revolving the semi-parabolic area shown about the: а.) х ...

A: Given that, The centroid of the parabolic region is x¯,y¯=38a, 25h. The area of the parabolic region...

Q: /6² – æ²dx

A: ∫-6662-x2dx The function inside the integral is even function then use the formula for definite inte...

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few t...

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Q: In the given problem, if the height function were given byh(t) = (4.2 - 0.14t)2, at what time would ...

A: Given: The height function was given by h(t) = (4.2 - 0.14t)2.  

Q: Use the formula an = a13n-1 to find the seventh term of the sequence 11, 33, 99, 297, . . . .

A: Given: 11,33,99,297,...

Q: The y-intersection of the equation y (z - 1) + 1 is 5

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Q: Consider the function f(x)=3−5x^2, −4 ≤ x ≤ 1   The absolute maximum value is __________________and ...

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