Find derivatives for the functions in Exercises 1–4. Assume a, b, c, and k are constants.

Q: Topic. Equations of Conic Sections  Systems of Non-linear Equations Solve eeach problem systematical...

A: Given equation is, 2mx2-16mx+my2+7y2=2m2-18m Which can be written as, x2-8x+m+72my2=m-9⇒x2-8x+16+m+7...

Q: Use the appropriate formula to express the product sin 8x sin 4x as a sum or difference.

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Q: 22. DETAILS SCALCET8 5.2.520.ХP. Express the limit as a definite integral on the given interval. 8x;...

A: Given expression is, limn→∞∑i=1n8xi*+xi*2∆x, 3,8

Q: Why are the trigonometric functions sometimes called circular functions?

A: Trigonometric functions are called circular functions because function values can be expressed in te...

Q: Find the length of the curve. 2ti + e*j + e-tk, 0 <ts 8

A: Consider the curve:rt=2ti+etj+e−tkrt=2t,et,e−t0≤t≤8 Find the length of curve: L=∫abr'tdtrt=∫abr'tdtr...

Q: Use a system of linear equations to solve:A hotel has 200 rooms. Those with kitchen facilities rent ...

A: Total rooms=200 Total revenue=$17000

Q: a. Find the open intervals on which the function is increasing and those on which it is decreasing. ...

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Q: Cosxdx+(1+2 /y) sinxdy =0

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Q: 99-100 - Inverse Functions from a Graph A graph of a func- tion f is given. Does f have an inverse? ...

A: Since you have posted multiple questions, we will answer the first question. If you want the remaini...

Q: Evaluate the definite integral. Use a graphing utility to verify your result.

A: To evaluate: ∫-88x13dx Solving the given integral, ∫-88x13dx=x13+113+1-88=34x43-88=34843--843=342343...

Q: find the absolute maximum and minimum valuesof each function on the given interval. Then graph the f...

A: find the absolute maximum and minimum valuesof each function on the given interval. Then graph the f...

Q: Help to solve this question?

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Q: Introduction to Calculus in Physics: Calculus is a powerful tool used in all areas of physics. One o...

A: Given: The position function for a falling objects is given by st=-16t2+v0t+s0, where st is the heig...

Q: Solve 2(x² + 3x)² – 5(x² + 3x) = %3!

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Q: 8x +3 2. Consider the functions f(x)=, | 6х - 17 and g(x)=x-5. 8x + 3 a. Find the domain of f(x)= Yo...

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Q: t) The volume of the solid obtained by rotating the region bounded by y=x2,  y=3x about the line x=3...

A: Given y=x2,  y=3x Axis of rotation line x=3 cylindrical shell method  

Q: Find the domain of the rational function: f(x) = 5x/(x - 4)

A: fx=5xx-4 To find the domain of given function, let's set denominator not equal to zero and solve. x-...

Q: ,determine the general solution to the given differential equation. Q. (D2+4D+4)(D−3)y =0

A: the given differential equation is: D2+4D+4D-3y=0 we have to find the general solution of the given ...

Q: If y = f(x), write f"(x) in Leibniz notation. Enter the answer in the box.

A: Given : y = fx

Q: Sketch the three basic conic sections in standard position with vertices and foci on the x-axis.

A: Sketch the three basic conic sections in standard position with vertices and foci on the x-axis.

Q: Use the Trapezoidal Rule with n = 4  to approximate integral 0 to 20  tan  (pie x) dx. Compare your ...

A: ∫020tanπxdx a=0, b=20 n=4 ∆x=b-an⇒∆x=20-04⇒∆x=5  

Q: If f(x) = [sin(x)]², what is f'(x)?

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Q: Find the radius of the given puer of convergence (2n)! 2n %3D n=I (n!)2

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Q: If y = g(t), write g"(t) in Leibniz notation. Enter the answer in the box.

A: Follow the steps.

Q: I need help finding a number

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Q: Evaluate the integral: æ V81 *Vs1 – z'da -

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Q: Solve the system of equations by graphing. Sx² + y? = 18 (3y = x? (x, y) (smaller x-value) (х, у) - ...

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Q: If f(x) = sin(2x) +1, what is f" (x)? Enter the answer in the box. f"(x) =

A: Given : fx = sin2x+1

Q: Find the indefinite integral. Simplify your answer. 10 4 cos x – e* + + sec? x + 5* – In x – 7 ) dx ...

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Q: The following is a two-variable function f(x, y) = x* + y* + 2x²y² + 2x² + y2 + 1 a. Calculate the s...

A: Given function is, fx,y=x4+y4+2x2y2+2x2+y2+1

Q: Solve the inequality and express the solution as an interval. |4x – 5| < 4 Answer: Solution set S = ...

A:   The inequality is given as    |4x-5|≤4   we have to tell the solution set

Q: 9. The graph of f is shown in the figure. Sketch the derivative of f. 10 6. 4, 10 B 9. 4. 6. 8 10 4-...

A: (a) The graph of f is given  the y intercept of the graph f is 4 For y=mx+b the derivative is y'=b S...

Q: Find the area under the curve f(x)=x3f(x)=x3 on x=[−2.5,3.5]x=[-2.5,3.5] using the Midpoint Rule wit...

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Q: Find the area of the shaded region. y = Vx y = x - 2

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Q: Using trig. substitution. Please detailed prodecure. Thank you!

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Q: In 2011, the population of a colony is 19000, and is decreasing exponentially at a rate of 6.3% per ...

A: Given  In 2011, Population = 19000 Decreasing at a a rate of 6.3% per year   

Q: et f(r) = r - 1² on [0, 2). (a) Explain why the function satisfies the conditions of the Mean Value ...

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Q: Find the x - coordinate of the center of mass of the lamina bounded by y= x³ , y = 0, and x = 1. Exp...

A: Given: The lamina is bounded by, y=x3,y=0, and x=1 At y=0, x3=0⇒x=0 R: 0≤x≤1, 0≤y≤x3

Q: For the following graph of f(x) fill in the table below: 0.5 -1 -0.5A 0.5a -0.5

A: Given: The graph of function,

Q: 1. I'm planning to build a rectangular garden with a fence enclosing it. I have 56 feet of fencing (...

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Q: Evaluate each of the following integrals if it converges. Say it diverges if that applies.

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Q: y=2.2x+12      x= y=2x−6.1     x= y=5(x+5)−1 x=

A: 1. Given y = 2.2x + 12 y= 4x + 12 4x = y - 12 x = (y - 12)/4 Or   x = (y/4) - 3

Q: The A-frame cabin shown below is 35 feet wide. The roof of the cabin makes a 55° angle with the cabi...

A: Given: