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Q: (a) , f(r cos 0,r sin 0 )rdrde

A: Answer and explanation is given below

Q: 5. Trace the curve r = sinecos³e.

A: To find the trace of the given curve r=12sinθcos3θ

Q: Calculus Question

A: Given:

Q: 8 For the sequence an = n+1' its first term is its second term is its third term is its fourth term ...

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Q: Use the given​ f(x) and​ g(x) to evaluate each expression. f(x)=\sqrt(x+12) , g(x) = x2a) What is th...

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Q: Express the given quantity as a function f(x) of one variable x. the perimeter of a rectangle of len...

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Q: Please show all steps

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Q: ln(1/25^k) How do I Rewrite the expression as a sum, difference, or product of logs?

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Q: find the general antiderivative of f(x)=4x+7

A: Given : fx = 4x + 7

Q: whats the general antiderivative of the function h(theta)=2sin(theta)-sec(^2)theta

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Q: Find the general indefinite integral. (Use C for the constant of integration.) + 9x3.5) dx

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Q: Let AA be the area of a circle with radius rr. If drdt=3drdt=3, find dAdtdAdt when r=5r=5.

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Q: Homework help I think I got the answer just want to make sure

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Q: Find the equation of the tangent line to the curve when x has the given value. f(x) = -,; x = 3 X-2 ...

A: Given that fx=7x-2 Evaluate fx=7x-2 at x = 3.     fx=73-2f(x)=7 That is y1=7 Find the derivative: f'...

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine...

A: The key step to solve this question is use the formula- Cos2x=(1+cos(2x))/2

Q: Homework help

A: We know that a function f(x) is decreasing in the interval (a,b) if f'(x)<0 in (a,b) That is ,to ...

Q: 6. Approximate the real root of X − cosx = 0 to three decimal places Let ?0 = 0.8 and find X1, X2 , ...

A: Let f(x) = x - cos(x) x0 = 0.8 By using the Newton-Raphson method to approximate the root, xn+1=xn-f...

Q: Farmer Booger with 750 feet of fencing wants to enclose a rectangular area and he divides it into fo...

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Q: Evaluate the integral. sin(0) d0

A: This question is based on the concept of definite integrals . For integrating it first we have to fi...

Q: Convert (−2, −5?/6 ) ?? ??????????? ???????????.

A: Given polar coordinate P-2,-5π6

Q: Find the arc length of the polar curve described by: r = 5 + 5 cos 0

A: r=5+5cosθ To find out arc length we use formula we need to consider the interval 0 to 2pi ∫02πr2+(r'...

Q: Calculate the center of mass, or balancing point, for the collection of single point masses m1=2 at ...

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Q: Find the equation of the tangent line to the graph of the function

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Q: Evaluate the integral from [1, e^3] ln^3(x^2) / x  dx

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Q: The marginal cost function for a company is given by C'(q) = – 13q + 70 dollars/unit, where q is the...

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Q: find the most general antiderivative of f(x)=6x^5-8x^4-9x^2

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Q: y' = x² + /x + 1, y(0) = 4.

A: Given: y'=x2+x+1y(0)=4

Q: Evaluate the following definite integral: ∫π/12π/4 csc(2x)cot(2x) dx   ONLY THE BOTTOM PROBLEM IN TH...

A: Substitute u=2x,du=2dx.

Q: 1. Trace the curve y? = (x – 1)(2x + 3)(3x – 1). - -

A: Given- y2=x-12x+33x-1 To draw- The graph of the above function. Concept used- First find the interse...

Q: whats the general antiderivative of the function f(x)=7x^(2/5)+8x^(-4/5)

A: Given : fx = 7x25 + 8x-45

Q: Solve the differential equation. dy/dx = 9x sqrt(y), for y ≠ 0

A: Given : dydx = 9xy, y≠0

Q: If f(7) = 13, find f −1(13) assuming this is  a 1 to 1 function thanks

A: If f is one to one function then its inverse function is also well defined. thus if f(x)=y then f-1(...

Q: Explain why the integral is improper. 49 1 dx 3. 2.5 Y15 0.5 10 20 30 40 At least one of the limits ...

A: Given, ∫0491xdx Improper integrals are definite integrals that cover an unbounded area. In the given...

Q: (– 1)"14 | For the sequence an = n2 its first term is its second term is its third term is its fourt...

A: an=(-1)n14n2its first term is (a1)=(-1)11412=-14its second term is (a2)=(-1)21422=144its third term ...

Q: Can you please write neatly or even type the answers so i can understand them? The answer needs to b...

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Q: Decide which of the two given functions is linear, and find its equation. -10 10 20 30 f(x) -1.5 1.5...

A: The table is, x -10 0 10 20 30 f(x) -1.5 0 1.5 3.5 4.5 g(x) -9 -4 1 6 11   The slope of ...

Q: The function f(x) = 2xe-* is Select one: increasing on the interval (0, 0.5) and decreasing on (0.5,...

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Q: please help with 14

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Q: Determine whether the following statement make sense or does not make sense, and explain your reason...

A: Given: The statement "Because y=sinx has an inverse function if x is restricted to -π2,π2, they shou...

Q: Integrating term by term, we obtain that (3x + 7x² + 18x + 27 dr x4 + 9x² +C

A: The integral is given as, ∫3x3+7x2+18x+27x4+9x2dx The partial fraction is also given as, 3x3+7x2+18x...

Q: Evaluate the integral  6 / x^(-1)+3  dx

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Q: Solve the right triangle shown in the figure for all unknown sides and angles. Round your answers to...

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Q: Let ​f(x)=8x and g(x)=x2. Find a formula for each of the following expressions. Find their domains a...

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Q: Express the limit lim E (5(x;)* – 7(x;)°)Aæ; over [3, 6] as an integral. n→ 00 i=1 Provide a, b and ...

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Q: Difference between f(c) and lim f(x) as x approaches c

A: Consider a function fx. The lim f(x) as x approaches to c is said to exist when the right hand limit...

Q: A retail store estimates that weekly sales s and weekly advertising costs x​ (both in​ dollars) are ...

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Q: Find d2y/dx2 simplify in terms of x and y x2+y2=4

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Q: Find amount of (A) net price and (B) trade discount dollar amount.  Stove: List $1,400 Chain discou...

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Q: I need help with 11

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: