K Question 10 of 16 sin(t) Find the equation of the tangent line to f(t) at t = 3 13 13 cos(t) (Use symbolic notation and fractions where needed. Let y = f(t) and express the equation of the tangent line in terms of y and t. equation:

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A: We have to use this magnitude formula.

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A:

Q: Verify the folowing equation is an identity with all work shown tan(x)/(cot(x)+tan(x))=1-cos2(x)

A: To verify:

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A: Given points are

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A: Differentiate the above expression with respect to t as follows.

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A: The given function is,

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A: Consider the function:

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A: Given,

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A: Ivan ran 3 miles each day for x days.So he total ran = 3 times x= 3x miles.

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A: We make table for both equations. 

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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3 of question number 5. Please resubm...

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A: The given function f(x) = x2 In the graph compare the value of f(x) and g(x) by table shown below:

Q: Evaluate the 2 intergrals attached as images with the question.

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: Use the given graphs of f and g to evaluate the expression. (Assume that each point lies on the grid...

A: By definition,

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A: Consider the given function

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A:

Q: if logb(x)=.31 and logb(z)=.85 evaluate the following expression logb[(x)^1/2]/[(x)^1/3]

A: Given information:

Q: 3x=2x+1

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A: The inequality is y ≥ -4x + 5.

Q: Let f(x) 2x-1 and g(x) x2-5 Find f(g(-3))

A: substitute –3 for x in g as follows.

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A: Implicit differentiate with respect to x on both side of the given equation.

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A: Let the larger number be A and the smaller be B.A + B = 66A = B + 16

Q: Evaluate the 2 improper integrals attached as an image.

A: Evaluate the first integral as follows.

Q: Related Rates

A: Given,

Q: A 6​-foot-tall woman walks at 9 ft/s toward a street light that is 24 ft above the ground. What is t...

A:  The height of the woman is 6 ft. and the height of the street light is 24 ft.The woman walks at 9 f...

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A: We find cos x first. Since x is in fourth quadrant, there cos x is positive.

Q: Problem 3 please

A: Given:

Q: An isosceles triangle has base 7 and height 12. Find the maximum possible area of a rectangle that c...

A: Refer to the question. Sketch the isosceles triangle having base 7 and height 12 and a rectangle ins...

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Q: 33 2 0 х х+б х

A: Given equation is 

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A: We find first derivative of s(t). That is v(t).

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A: Given information:

Q: Evaluate the definite integral integral a=0 and b=1    7/ 1+x2 dx

A: Refer to the question, we have to solve the definite  integral a=0 and b=1    7/ 1+x2 dx.

Q: Problem 5 please

A: Prove that:

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A: The formula to calculate the arc length is given by,

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A: Consider the given function:

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A: To display the required addition of vectors satisfying the conditions

Q: I need help with a study problem for precalculus. I dont know how to mix piecewise functions. I'm wo...

A: Given function is 

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A: Given,Number of cars sell in a day = 12Price of a car is $21,000.For each car $300 price reduction i...

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A: Let x and y be the number of sodas and hot dogs, respectively.A vendor sold a combined total of 249 ...

Q: 48(x^2+y^2)^2=625xy^2;(3,4) Write an equation for the tangent line at the point (3,4)

A: Given,

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A: Firstly, we multiply both sides by x-y and simplify

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A: Take d/dx on both sides and distribute it on the left side. Derivative of constant =0 

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A: Frist draw the graph for the given inequality as shown in below figure.

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A: It is given that the triangle has two adjacent sides of dimensions 17inche and 9inche. And the inclu...

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A: We have to convert (-6, -4pi/3) to positive values. First add 2pi with angle to make it positive.The...

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A: The initial dimensions of rectangle are 6cm by 8cm, where length is 6cm and width is 8cm.

Q: Find the differential dy. y = ex/2   dy=

A: Here the given expression is y = ex/2. Apply the chain rule:

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A: Let Howard’s family sprinkler used for x hours and Patterson family’s sprinkler used for y hours.It ...