Convert the rectangular equation x2 + y2 = 16 to a polar equation that expresses r in terms of θ.

Q: rectangular area of 20,000 ft“. Fencing material costs $4 per foot for the two sides facing north an...

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Q: Use intercepts to graph equation. 6x - 2y - 12 = 0

A: We have to draw the graph the equation using intercepts: 6x-2y-12=0 We know equation of line interce...

Q: classify the graph of the equation  x²+y²-4x-6y-23=0

A: We know that general equation of comics is given by  Ax2  + Cy2 + Dx + Ey + F = 0 Given , equation i...

Q: Differentiate the following implicit function with respect to x

A: Given e10yx5 +ln10yx3 +sinye60xy   We have to differentiate the above implicit function with respect...

Q: In Exercises 3-10, firul an equation of the tangent plane at the given point.

A: " Since you have asked multiple question, we will solve the first question for you. If you want any ...

Q: dy for the following. dt Assume x and y are functions of t. Evaluate dx y3 = 2x? +6; %3D = 5, x= 1, ...

A: To find dy/dt

Q: Finding LimitsIn Exercises 9–28, find the limit or explain why it does not exist.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Find the indefinite integral ∫ 1/x√(x4 − 4) dx

A: To evaluate integral : ∫1xx4-4dx By using substitution method,  Take t = x2  dt = 2x dx dt2x=dx    

Q: Find if possible the matrices: a. AB   b. BA.

A: Given that: The matrices, A = -1-2-3  , B = 123   

Q: Please show all work, step by step thank you Find the slope of the curve at the given point P and an...

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Q: Graph the standard quadratic function, f(x) = x2. Then use transformations of this graph to graph th...

A: EXPLANATION To graph the function h(x), shift f(x) to the right by 2 units because in the equation w...

Q: Determine whether the given statement is true or false. If the statement is false, make the necessar...

A: Consider the following functions: fx=x2-4gx=x2-4 f∘gx=fgx=x2-42-4=x2-4-4=x2-8 f∘g5=52-8=25-8=17

Q: please help with these 3 questions

A: Since you have asked multiple questions in a single request so we will be answering only first quest...

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning. "Fir...

A: From a polynomial firstly factoring out the greatest common factor makes it easier for me to determi...

Q: In graph attached, an optical illusion is created by having lines intersect a family of curves. In e...

A: Consider the given equation of the lines, ax=by where, x=3, y=3a=3, b=1 now, differentiate the famil...

Q: Use the attached figure: List the y-intercepts b1 , b2 , b3 , and b4 in order of decreasing size.

A: Given Graph

Q: Use implicit differentiation to find dy/dx. x5-30xy+y5=1

A: Given: x5−30xy+y5=1dydx=?

Q: Determine the following indefinite integral. Check your work by differentiation.

A: Given: ∫3x13+4x-13+6dx

Q: You toss a fair coin four times, and the random variable X assignsthe number of tails that appear in...

A: Consider the given information, The random variable X is the number of the tails appear in each outc...

Q: Choose a convenient order When converted to an iterated integral, the following double integrals are...

A: The integral given is ∫∫Rx1+xy2dA , R=x,y: 0≤x≤4, 1≤y≤2 Converted into iterated integral ,  ∬x1+xy2 ...

Q: A 17 ft ladder is leaning against a wall. If the bottom ofthe ladder is pulled along the ground away...

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Q: Calculate the derivative of the following functions. y = (1 + 2 tan u)4.5

A: The given equation is y=1 + 2 tan u4.5.

Q: A right-circular cone is to be circumscribed about a sphere of given radius. Find the ratio of the a...

A:   Let R be the radius of the cone, l its slant height and h be the height. V= 13πR2h We have to make...

Q: Evaluate the integrals ∫(sec θ tan θ) √(1 + sec θ) dθ

A: Our Aim is to evaluate the integral given below:-∫sec(θ) tan(θ)sec(θ) +1dθ  -(i)

Q: Find the slope of the given line, if it is defined.  7y + 8 = 0 m=

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Q: (a/sinA=b/sinB=c/sinC) prove the law of sines, by any means necessary.

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Q: An HMO pamphlet contains the following recommended weight for women: “Give yourself 100 pounds for t...

A: Given: An HMO pamphlet contains the following recommended weight for women: “Give yourself 100 pound...

Q: Find the average value of the following functionson the given interval. Draw a graph of the function...

A: Given function is fx=cosx. To find the average value of the function on interval -π2,π2. Solution: A...

Q: Find dy/dx when a) y = -3/x8

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Q: Slope of a Curve at a PointIn Exercises 7–18, use the method in Example 3 to find (a) the slope of t...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Please show all work

A: Note: as per the guideline i can answer only first question for yo, more then one answer leads me to...

Q: Factor: x3 + 5x2 - 2x - 10.

A: The given polynomial is: x3 + 5x2 - 2x - 10 To find the first zero of this polynomial, use the hit a...

Q: Evaluate the cylindrical coordinate integrals

A: The  cylindrical coordinate integrals is given  V=∫02π∫03∫r2318-r2 rdzdθ. Evaluating the integral , ...