A(3) = A(8) =

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A: Given: population of 800,000 microbes increases at the continuous rate of 4% per day. Find: sketch…

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A:

Q: ven A = - -4 1 -3 0 -5 2 and 1 B = -2 4 2 1 4 find 2B - 3A 3

A: Given query is to find the Indicated matrix.

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A: We have to choose correct option.

Q: Question 2 fe2x cos x dx Oln sin x + ² +C Oe² sin x + ² cos x + C O None of the choices ○ (1+x³)√1 +…

A: Please see the answer below.

Q: Determine all the critical numbers of f(x) = sinxcosx.

A: Determine all the critical numbers of   f(x) = sin(x)cos(x)

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

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A: Second derivative is positive.

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Q: 4. Volumes of Solids of Revolutions. Find the volume of the solid generated by revolving the…

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Q: Find the volume of the solid of revolution generated by revolving the region bounded by the graphs…

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Q: 5. Lim xsinx x-0+

A: Let A=limx->0+xsin x

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Q: 3) x= √y + 1, x= ²2 +1 Axis: x = 1

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Q: The function 5x+1 f(x) 1-In (x³ +e) has a Maclaurin Expansion O false O true

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Q: Find the general solution. ورم

A:

Q: Apply the definition to differentiate the following functions: 1- y = ₁

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Q: Find and sketch the domain for the function. cos (xy) f(x,y) = 2 x² + y²-81

A: The given function,  f(x,y)=cosxyx2+y2-81

Q: Solve the following equations by using Cramer's Rule 2x + 2y + z = 1 x-y + 6z = 21 3x - 2y-z = 4

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Q: The base of a right triangle is decreasing at a rate of 2 meters per hour and the height is…

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Q: 4. Convert the following rectangular coordinates to polar coordinates, then find 3 additional repre…

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Q: lim x-0 1+x−1

A: Given problem:-

Q: Write in terms of sine and cosine and simplify the expression. cos A - 2 sin A cos A cos² A - sin² A…

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Q: 7) y = — - cos (40-32) 2 D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: We have to find the series.

Q: Find the gradient of f(x,y,z) = (x² + y² +z²) ¯ - 1/2 Vf(-21.-2)=(1+Dj+k (Type integers or…

A: topic - gradient of a function

Q: ) Find the Taylor series for f(x) = ln x centered at 3. Show All Your Work.

A: We can solve this as follows:

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Q: Compute. 13 2) Σ k

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A: The line passing through the point (1, 0, 9) and perpendicular to the plane x + 4y + z = 5

Q: Find the value of that will make the function f(x) continuous everywhere. f(x) = {ka² -2, (4x+k,…

A: Given problem:-

Q: A boy is pushing a box with a force that can be described by the function: (x) = x³ — sin 2x + 1,…

A: The answer is given below using the formula:  W = ∫abF(x) dx where W is work done and F(x) is force…

Q: Evaluate the iterated integral. 14 Sxy ex dy dx 03 14 SSxy ex dy dx = [ 03 (Type an exact answer in…

A: Topic = Integration

Q: Determine the volume of the solid generated bounded by x²= 2y and x= revolved about x=4. 2 Use ring…

A: Given problem:- Determine the volume of the solid generated bounded by x2 = 2y and x = y/2 revolved…

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Q: II. Solve the following problems. Enclose final answer. 10. At what rate is the vertex angle of a…

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Q: 9 B = 10 2 4-[1 ² 3] and 5 6 A = 6. Given EXPLAIN WHY you can multiply AB but cannot multiply BA.

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Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 5. Lim xsinx x→ 0+ 5

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Q: A geometric series has S3=37/8 S6 = 3367/512 Find the first term and common ratio

A: Given, S3=37/8  S6 = 3367/512

Q: The volume of a cylinder of height 12 inches and radius r inches is given by the formula V = 12². dV…

A: Given query is to find rate of change of volume.

Q: Write an equation of the tangent line to the curve f(x) = 3x/√x-4 at the point (5,15). Express the…

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Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

A: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

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Q: ∞ The polar curves r = 1 cos and r = 1 + cos are shown in the figure above. Which of the following…

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Q: a²z 7.Find of z = 2x³-5xy² xy

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Q: 5. Lim xsinx x+0+

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Q: Q3: Find the solution of the Laplace transforms of the following functions: -3s²-12s-87 L-1 1)…

A: Let's find inverse laplace 9f given function.