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Q: I need a solution within 15 minutes

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Q: The rate of growth dP/dt of a population of bacteria is proportional to the square root of t, where ...

A: Given that the rate of growth dPdt of a population of bacteria is proportional to the square root of...

Q: 4. Below is a sketch of the graph of f(x): 40 20 A B E F -5 -20 -40 (a) Which letters correspond to ...

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

Q: A person bought a car for $21,078. After 3 years, the car was worth $11,990. Assume that the price i...

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Q: Find the exact length of the curve. y = 2 + 4x3/2, 0 ≤ x ≤ 1

A: Explanation of the answer is as follows

Q: 5. Write an equation that would have infinitely man solutions with the equatio below: 5x + 3y-12

A: We have been given the equation 5x +3y - 12

Q: Determine whether the dilation is an enlargement or a reduction find the scale factor then write the...

A: Solve the following

Q: After a 40% reduction, you purchase a new stereo for $234. What was the price of the stereo before t...

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Q: [6] 1. Use the definition of the definite integral as the limit of a sum to evaluate (4r – r) dr. 22...

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Q: 2. A medical conference of doctors and nurses had 108 participants. There were three times as many n...

A: We can find the answers in following step

Q: Let f(x) = Vx+2 The average value of f on the interval |-2, 1| is x+3 3

A: Given function is : fx=x+2x+3 f-53=-53+2-53+3=1343=0.433

Q: Given the vectors v and u, answer a. through d. below. v = 6i - 3k u=i+j+k a. Find the dot product o...

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Q: Find the values of m, & k, for which the following function is continuous everywhere (8 marks) 2x + ...

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Q: Find the area of the region bounded by y = ex, y = 2 and x = 0. (a) Express the area as an integral ...

A: Find the area of the region bounded by y = ex, y = 2 and x = 0.

Q: Car A is driving south, away from an intersection. Car B is approaching the intersection and is movi...

A: To find the cars getting closer together or apart at this time

Q: 3. Find all the rational zeros of P (x) = 4x* – 21x? + 5 and then find the irrational zeros.

A: Topic-polynomials

Q: Calculus Question

A: ∫14x2-4x+10dx

Q: How can a linear approximation be used to approximate the value of a functionf near a point at which...

A: Given that the linear approximation.

Q: Transform the polar equation to an equation in rectangular coordinates. Then identify and graph the ...

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Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a...

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Q: Find the amplitude, period, and phase shift of the function. Graph the function. Be sure to label ke...

A: Topic-function

Q: Part b only

A: Solve #b

Q: The problem related to imaginary numbers is described in the picture below

A: i2=-1

Q: A business sets up a sinking fund so they will have a $66,000.00 to pay for a replacement piece of e...

A: An annuity is a contract between you and an insurance company in which you make a lump-sum payment o...

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.) 2 ...

A: Given : ∑n=1∞(7x)n

Q: Sketch the graph of the function

A: The function: y=ex

Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 + 5 16 1 + 5 81 1 + 5...

A: 1+1165+1815+12565+16255+... 1+1245+1345+1445+1545+... 1145+1245+1345+1445+1545+... 1145+1245+1345+14...

Q: can you help

A: to find the change in the volume of a sphere

Q: Answer c and d

A: We need to find out rate using first derivative of annual export to China per year

Q: The rate of infection of a disease (in people per month) is given by the function: I'(t)=100t/t^2+1 ...

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Q: Prove that

A: Given that ∫461xdx

Q: Find the length of the curve. (2t + 1)3/2 x=うy= -, 0sts 10 3 The length of the curve is (Simplify yo...

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Q: (a) The complex number z = -1 + i in polar form is z = (b) The complex number z = + i sin) in rectan...

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Q: dy 16x 3 If x° + 3 + y° = 8 then show that dx? %3D y5

A: Given: x3 +y3 = 8 To show: d2ydx2 = -16xy5

Q: Part a only

A: Integrate

Q: Find a point c satisfying the conclusion of the MVT for the given function and interval. (Round your...

A: Consider the given function fx=xx+2 First, find the first derivative of the function Then, dfxdx=dd...

Q: Let h(t) = tan t. Find the maximum and minimum values of h on the interval I = [0, z/4]. Then use th...

A: To find the bounds for the area

Q: Consider the function f(a) = 2x - 3z - 12x + 18. a. Find the first derivative. f' (x) = b. List any ...

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Q: Evaluate the following indicated limits. 3x +3x+5 x³ +2 1-cosx (а). lim (b). lim

A: we have to find the following limit

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable. lim cot x x...

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Q: Find

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Q: 4. Consider the region R bounded by the parabolas y = įr² and y = r² – 3r, as depicted in the graph ...

A: I use washer method to find volume about line y=-5

Q: Part a only

A: Explanation of the answer is as follows

Q: The sum of three consecutive natural numbers is 456, find the numbers. The three numbers in increasi...

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Q: (c) lim +- e. True False, reason:

A: By using l'hopital rule we can compute:-

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t Also...

A: Th equation for line tangent to the curve is given by- y-y1=mx-x1 where m is the slope of the curve ...

Q: A rectangular garden is 25 ft wide. If its area is 2375ft“, what is the length of the garden? The le...

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Q: Given the vectors v and u, answer a. through d. below. v = 6i - 3k u=i+j+k a. Find the dot product o...

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Q: 3. Evaluate cach of the following integrals using any suitable technique (or com- bination of techni...

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Q: 4. Consider the region R bounded by the parabolas y= as depicted in the graph below. frť and y=- 3r,...

A: Area under the graph = ∫lower limitupper limitf(x)-g(x)dx