1. Calculate the area enclosed by the line y 2x + 3, the x-axis, and the lines x 1 and x- 3.

Q: dy using implicit differentiation. dx 3. Find sec (xy?) = (cosh x) (tanh 2+v9) + 2 csc-1 (tan(y + 1)...

A: Implicit differentiation

Q: Determine h' (x) when it is given that [h(2x)] 16

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Q: Lake Taal has a volume of 458 cubic km, and its rate of inflow and outflov are both 175 cubic km/yea...

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Q: Find the maximum value of f(x,y)=x^4y^6 for x,y≥0 on the unit circle

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Q: 5. * S csc°x cot?x de cotx 2 cot x cot'x + c cot*x cot x cot x 3 cot x cotx cot'x cotx 2 cot x cot'x...

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Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) = 91...

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Q: During the first couple weeks of a new flu outbreak, the disease spreads according to the equation I...

A: We have to find the rate at which the infected population is growing after 10 days.

Q: y? 1 25 x2 49 and y(2) = 5 V5, find y'(2) by implicit differentiation. /(2)

A: Given query is to find indicated derivative.

Q: Opening Exercise Given the pictured quadrilateral, find the exact value of: a. the perimeter of the ...

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Q: (a) P(blue, then red) (b) P(clear, then clear)

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Q: 5. A construction company is to transport 144 tonnes of stones to stone sites X and The Company pays...

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Q: ind f−1(x) for f(x)=9+12x.   Enter the exact answer. Enclose numerators and denominators in paren...

A: Given that fx=9+12xTo find : f-1xSolution :if we find inverse of function of y= fx then interchange ...

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

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Q: Since the start of July, OHaganBooks.com has seen its weekly sales increase. OHaganBooks.com fits th...

A: Let's find. 

Q: The future value that accrues when $500 is invested at 5%, compounded continuously, is S(t) = 500e0....

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Q: 15. х*у' + 2ху 3 In x, у(1) — 2 %3D

A: Please refer to the image below 

Q: du 13. (1 + t) - + u = 1 + t, t> 0 dt dr + r = te' dt 14. t In t

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Q: Let y = 5x² + 5x + 3. Find the differential dy when x = 1 and dx = 0.1 %D %3D Find the differential ...

A: Topic = Derivative

Q: Assume that 6% of the sixth graders and 3% of the fifth graders participate in Math Olympiad. There ...

A: 1st question is based on percentage application and second is on formula  (a+b)(a-b) = (a2-b2)

Q: Find the vector component of v = (4, – 1, 7) along b = (4, 8, –8) and the vector component of v orth...

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Q: What value(s) of c, if any, will satisfy the IVT for the given function f and the given value m, on ...

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Q: f(x) = (4e2x)3 3(4e2*)2(4e2x) 3D3(16e**)(4e2*) 192(e6x) %3D %3D %3D

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Q: (a) Find the critical points, if any, of the following function on the given interval. (b) Determine...

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Q: For the demand function q = D(p) = 323 - p, find the following. a) The elasticity b) The elasticity ...

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of in...

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Q: = cx + In(cos x). For what value of c is f'(T/4) = 7? C =

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Q: 2n + 2 E(-1)n+1. Vn3 +n² + n n=1

A: The given series is: ∑n=1+∞(-1)n+12n+2n3+n2+n which is an alternating series. Let, the absolute seri...

Q: A street light is at the top of a 18 ft pole. A 5 ft tall girl walks along a straight path away from...

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Q: (b) At what rate is the future value growing after 1 year (n = 1)? S'(1) =

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Q: Find the length of the curve y = In x from x = V3 to a = 2/2. o 1+홀 In를 None of the choices. Please ...

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Q: duct z,z2 and the quotients 1 and (Express your answers in polar form.) Z2

A: We will solve the problem on complex numbers. 

Q: Evaluate tot? xe*< + y2 + 22 dv, where E is the portion of the unit ball x2 + y² + z2 s 1 that lies ...

A: Triple integral 

Q: Write z, and z, in polar form. Z1 = 7 + 7i, z2 = 4 21 = Z2 Find the product z122 and the quotients 2...

A: Since you have asked multiple part question, we will solve the first 3part of the question for you a...

Q: y"-8y'+2y xe

A: Answer of given question is in step2

Q: Suppose that the total cost in dollars of producing x units of a product is given by C(x) = 5,000 + ...

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Q: Determine the length of the arc on a circle a? + y? = 100 from a = 3 to x = 5 in the quadrant IV. O ...

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Q: 00 (2x -3) For what values of x does the series converge? n! n=0 x = only B 1< x < 2 only 1<x < 2 on...

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Q: 3. Determine whether the series below converges or diverges using the test that you think is easy! 2...

A: Solved below

Q: What

A: We will find sine and cosine values for given angle. 

Q: 9. given f(-2) = 5, f'(-2) = -3, g'(-2) = 6, f g)'(-2) = 15. Find g(-2) %3D

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Q: The sequence that begins 3, 3, 6, 9, 15, 24, ... could be O a geometric sequence. a Fibonacci sequen...

A: Topic = Sequence This Sequence could be a Fibonacci sequence.

Q: Use Ay f'(x)Ax to find a decimal approximation of the radical expression. 7.7 What is the value foun...

A: NOTE: Refresh your page if you can't see any equations. . here we have a cube root function so we w...

Q: Find the volume of the solid that is obtained by revolving the region about the line y = 2. %3D 个ッ 3...

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Q: X - 5 dx -2x + 2

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Q: 16. t 31²y = cos t, y(T) = 0 dt

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Q: Select the basic integration formula you can use to find the indefinite integral. dt du Va? - u? du ...

A: The given integral,∫61-t2dt

Q: Evaluate: / (In(2r – 1) – () + 25) da + 25 ) dx | Limits: [1, 6] Using Trapezoidal, n = 30

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Q: use mathematical induction to prove the formula for all integers n ≥ 1. 1+2+2^2+2^3+•••+2^n-1 = 2^n ...

A: Given the statement is "For all integers n≥1,  1+2+22+23+ ⋯ +2n-1 = 2n-1".

Q: 11. An object moves along the x-axis so that at any time t2 0, its velocity is given by v(t) = 4 – 3...

A: Find your answer below 

Q: 1-cost lim sint et-1 + t t t+0

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