Use the quotient rule to differntiate the function. f(θ) = (sinθ)/(1+ cosθ)

Q: Find the probability that a z-score from a standard normal distribution will lie within the interval...

A: Area under the given points in normal distribution curve gives the probability. The total area of no...

Q: The value V of a machine t years after it is purchased is inversely proportional to the square root ...

A: (a) Given that the value of V of a machine t years after it is purchased is inversely proportional t...

Q: Please show steps on how to solve

A: Given,             ∫2B4x - 33 dx

Q: 10. Find the amount of an annuity if $200/month is paid into it for a period of 30 years, earning in...

A: The formula for the future value of the annuity is given as, FV=P1+rn-1r where, FV=future valueP=per...

Q: number 1

A: For multiple questions, answer only first question for other answer repost this question Answer = (1...

Q: Assuming that a 400-foot tall giant redwood grows vertically, if I walk a certain distance from the ...

A: Tree is 400 foot tall  And angle of elevation is 43° . To calculate the distance between the base of...

Q: 2. How long will it take$5000 to grow to $20,000 if the investment earns interest at the rate of 6% ...

A: Given data,  Initial amount (P) = $5000 Final amount (A) = $20000 Interest rate (r) = 6% = 0.06 year...

Q: Consider the following.x = t2 − 3t, y = t4 ,1  ≤ t ≤ 4Set up an integral that represents the length ...

A: x=t2-3t, y=t4,  1≤t≤4 Differentiating with respect to t, we get dxdt=2t-3  &  dydt=4t3

Q: Help me please

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Q: If the marginal revenue (in dollars per unit) for a month is given by MR = -0.4x + 350, what is the ...

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Q: Help solve step by step

A: Given,           f(x) = 6 - x2x2 + 7

Q: Find dy/dx by implicit differentiation. sqrt x+y + sqrt xy=4

A: Given,           x+y+xy=4

Q: log(x) is the exponent to which the base 10 must be raised to get ---Select---v So we can complete t...

A: We know that logx is the exponent to which base 10 must be raised to get x. Example: log10x=x  Compl...

Q: how much per oz is 6 pounds of cream cheese if it cost $2.40 per pound?

A: Given: cost of cream cheese is $2.40 per pound so, costC of 6 pounds cream cheese will be C=$6×2.40=...

Q: Calculus Question

A: Given : ∫3 + 1t61t2dt

Q: Verify the following identity. cos (x-0) = - cos e

A: Given  cosπ-θ=-cosθ  

Q: Use the graph of y =f'(x) to the right to discuss the graph of y = f(x). Organize your conclusions i...

A: f'(x) is always below x-axis, hence always negative.Since f'(x) is always negative then f(x) is alwa...

Q: In the following exercises, use a calculator to estimate the area under the curve by computing T10, ...

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Q: Find each of the following in rectangular (a + bi) form if z = 2 – 3i; if z = x + iy. 1+ z 1- z 23.

A: z = 2 -3i  given , To solve 1+z1-z, =1+2-3i1-2-3i = 3-3i-1+3i = 3-3i-1+3i×-1-3i-1-3i,       a+ba-b=a...

Q: For the function f(x) = x3 - 48x, its local maximum is ? Which occurs at ?; its local minimum is ? W...

A: Second Derivative Test for Local Extrema:- The second derivative may be used to determine local extr...

Q: Evaluate x+ 5x +5 dx X X

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Q: Evaluate thne integral. Check your result by differentiation. (Use the constant of integration.) (x²...

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Q: Find dy/dx and d2y/dx2x = et, y = te-t

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Q: A furniture store sold a bed regularly priced for $990.00 for $720.00. The bed was originally purcha...

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Q: The population of a herd of deer is represented by the function A(t)=185(1.21)^t, where t is given i...

A: Here the herd population is represented by the function A(t)=185(1.21)t where t is in years

Q: Calculate the double integral. 4x dA, R = [0, 4] × [0, 1] 1 + xy

A: The given integral is ∬R 4x1+xy dA  where R=0,4×0,1. Evaluate as follows.  

Q: How do I approach this question? Thank you!

A: As A(t) and B(t) both depend on time , So apply chain rule of differentiation, then put the value

Q: 12

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Q: Differentiate. f(x) = In ( In (8x)) f'(x) = Compute the following derivative using the method of you...

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Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produ...

A: a=10, b=8, A=50° By using sine rule, we get asinA=bsinB⇒10sin50°=8sinB⇒sinB=8·sin50°10⇒sinB=0.6128⇒B...

Q: Hi I need help with this problem: The base of a solid is the region in the first quadrant bounded by...

A: Given The base of a solid is the region in the first quadrant bounded by the graph of y=2x−x^2 and t...

Q: x+1 The slope of the normal line to the graph ofy = sin at x = 0 is Select one: a. \(-2\sqrt (2}\) b...

A: Given curve is y=sin-1x+13. To find slope of the normal line at x=0. Solution: Slope of the normal l...

Q: 2- I want solution of this question with all steps please. Thanks

A:  given , A→=ai + 4j + bk =9i+4j+7k       since given, a=9 and b=7B→=6k +i+2j we have to find a vecto...

Q: 7

A: Given,            f(x) = 5x23 - 2x53 

Q: Hume's pet shop purchases cat litter for $15.00 less 20% per bag. The store's overhead is 45% of cos...

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Q: Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the ...

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Q: Find a polar equation for the curve represented by x2 + y2 = 8cx, where c is a constant.

A: The given equation is x2 + y2 = 8cx   Known fact x=rcosθy=rsinθ

Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 11 ( x5 + y) dx - xd...

A: For our guidelines for multiple questions,answer only first question ,repost the second question

Q: Find the critical point of the following functiony= -x2 + 2x - 2

A: Given: The function y=-x2+2x-2, To find: The critical point of the given function.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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