tangent

Q: (ycos xy + xy² sin xy )dx + (x²y sin xy – x cos xy )dy = 0

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Q: For nos. 1-5. Given S x In³ x dx 1. u = 2. dv = 3. du 4. v = 5. Answer:

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Q: For #6 and # 7, use the second derivative test to determine where the curve is concave upward and/or...

A: Please see the explanation below.....

Q: 2. Find the area bounded by the curves y = x² and y = 2 – x².

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Q: An ODE is said to be stable is every arbitrary constant on its solution, such as C1 and C2 for secon...

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Q: Calculate the second and the third derivative of y = 5x- 9 y": y"

A: Using derivatives rule & formula.

Q: Initially 80 grams of radioactive substance was present. After 2 hours the mass had decreased by 6%....

A: Given that: Initial amount present = 80 gmAfter 2hrs, amount decreased=6%Rate of decay is proportion...

Q: By using the ratio test for absolute convergence, the series 00 =1 ソ Converges absolutely and theref...

A: Please see the explanation below....

Q: Use spherical polar coordinates and integration to find the volume of the 3D region bounded by z = V...

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Q: For nos. 14-16. Given S 3t 2 (t ³ + 4)5 dt 14. u = 15. du 16. Answer:

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Q: y? 22 = 1. Identify what type of quadric 16 5. Given the surface S whose equation is 4 surface is S,...

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Q: Let f(x, y) = x4 + y4 + x²y?. Use the dropdown menus to choose the option that makes each of the giv...

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Q: Write v as a linear combination of u1, u2, and u3, if possible. (If not possible, enter IMPOSSIBLE.)...

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Q: d²x dx + 4 dt + 5x – 10 = 0 1. dt2 when t = 0,x = 0,x' = 0

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Q: Consider the ellipsoid x2 + y + 4z? = 9. The implicit form of the tangent plane to this ellipsoid at...

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Q: 4

A: We have to choose the correct answer from the given options according to the given information

Q: Find the Laplace Transform of the following functions:

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Q: 3. A plastic of warm water with a temperature of 110°F is placed inside a 0°F freezer. After 20 minu...

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Q: Which of the following is a solution to the ODE y” + 3y ‘ + 2y = 0? a. y = 0.5e^(2x) b. y = 2e^(-x) ...

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Q: 2. The number of transistors in a chip produced by Intel has been known to increase at a rate propor...

A: Let the number of transistors at time t is:  y(t)

Q: A right triangle has side lengths 7, 24, and 25 as shown below. Use these lengths to find tan B, cos...

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: 1. Do the points (1, 4, -2), (3, 5, 2) and (4, 9, 10) lie on the same line

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Q: Find the interest and amount on P1,200 at 11 3/8 % simple interest for 2 years and 5 months.

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Q: The derivative of In (cos x) is A) -tan x B None of the given choices C) tan x D sec x -sec x

A: The given function is; ln(cosx).

Q: The twice-differentiable function f is shown below on the domain (-9,9). The function f has points o...

A: The graph of the twice differentiable function f is given as 

Q: One side of the triangle is 2 inches more than first side.The third side is 3 inches more than two t...

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Q: Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of r...

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Q: The value of the second derivative of at its point of inflection is A less than zero B equal to zero...

A: A inflection point is a point on the graph of function at which concavity changes. A potential infle...

Q: Which of the following is not equal to 5? log 100 000 6log, 5 In e logs 1

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Q: 4x³ – 3x dx 2x2 + 5 x4 –

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Q: Evaluate the integral if it converges and enter the exact value. If the integral diverges, indicate ...

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Q: Sketch the region of integration corresponding to the integral 6x-x² 5(2² + y*)y dydx and compute th...

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Q: A quantity Q increases at a rate proportional to its current size. If the initial population is give...

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Q: Determine the common ratio, the 6th term and the nth term of the geometric sequence: 4, 12, 36, 108,...

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Q: Show complete solution and do not skip any step. Explain the steps done. 2. Find the area bounded by...

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Q: What is the area bounded by y = x² and y =1– 3x2? Find an exact value. %3D

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Q: Teacher wants to recycle some elliptic cardboard into rectangular name plates. The minor and major a...

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Q: A. Find the derivative of the following parametric equations as indicated. Express the final answer ...

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Q: Transform the given equation into a system of first order equations (x-1)y(4) + (x+1)y'' + (tan x)y ...

A: We need to transform the given equation into a system of first order equations.

Q: у" — Зу" + 3у' — у%3Dх*е*, у(0) %3D 1, у'(0) %3D 2, у" (0) %3 3 -

A: Explanation of the answer is as follows

Q: An ODE is said to be stable if every abitrary constanst on its solution, such as C1 and C2 for secon...

A: I am going to solve the given problem by using soem simple calculus to get the required result.

Q: Find an equation for the ellipse. Graph the equation. Center at (0,0); vertex at (0,8);b 5 What is t...

A: This question is related to ellipse equation and graph, We will solve it using given information.

Q: 1. у" + 2y' — Зу %3D sin(2x), У (0) %3 у'(0) — 0 |

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Q: Suppose that f(x) = 4x 4 + 3x 2. Evaluate each of the following: f'(2) = f'(-1) = %3D

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Q: The family of parabolas with vertical axis and vertex at the point (1, 2).

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Q: Find the average value of f(x) = - over the interval [0, 1]. %3D (4x² + 1)? Enter the exact answer. ...

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Q: Find the derivative using the Four-step rule f(x)=2x²-3x+4

A: let f(x) be any function then four-step process to computef'(x) = limh→0f(x + h) − f(x)h  by definit...

Q: x³ + 2 Find the derivative of h(x) = ln x5 – e*

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Q: 16x? + 12y² = 192

A: Center: The midpoint of the line joining the two foci is called the center of the ellipse. Major Axi...