Activity 1: Determine whether the given functions are continuous, differentiable, neither, or both at the given point. 开平冷平

Q: - partial fraction 2х -3 -dx (x– 2\,x+3)'

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Q: Determine the homogeneity of the following function x^3-xy+y^3

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Q: 3. Check if the following is a separable equation. dy dx O variable separable not variable separable

A: dydx=-xyRearrange the equation;y dy=- x dxf(y) dy = f(x) dxYes,the given equation is variable separa...

Q: 4. Determination of Integrating Factors: Solve the equation y (4x + y) dx – 2 (x² – y) dy = 0 O 2r? ...

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Q: 3. S cos ædæ from a = 0 to b = 5

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Q: Find the area of the parallelogram that has u = i - j+ 2k and v = 3j + 2k as adjacent sides. NOTE: E...

A: Find your answer below 

Q: The area between the two loops of the limacon r = 1+2 sin 0.

A: Question- The area between the two loops of the limacon          r = 1 + 2  sin theta .

Q: Find the area of the triangle with vertices P(1,6, –6), Q(0,0, 0) and R(4, 6, 1). NOTE: Enter the ex...

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Q: Use the Laplace transform to solve the given initial-value problem. dy — у %3D 1, у(0) %3D 0 dt

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Q: Let f(x, y) = -e2"-y + In(3x – y). Find the domain of this function.

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Q: 8. DETAILS LARAPCALC10 3.3.062.EP. Consider the following function, where R is the revenue (in thous...

A: Use diminishing concept

Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v ort...

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Q: Question 2 (a) The maximum carrying capacity of a park is 100 animals. Currently, there are 10 anima...

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Q: dx x2 +4x +5

A: Use inverse trigonometry function formula.

Q: - partial fraction 1 dx x(x² +1}

A: Let's find. 

Q: (Зп + 1)! Find the limit of the sequence an = If the (Зп — 1)! limit does not exist, type "Diverges"...

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Q: x* + x3 x2 +1 플+미2+11+ tan-1 x*C C In x + 1| + tan-1 x +C 3. 쪽-1n x2 + 11 + tan-1x +C D In Jx2 +1| +...

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Q: Q2: Find the solution of the following Differential Equations d²y +6. dx2 dx dy + 12y = 0 3.

A: This is homogenous differential equation, solve it by using auxiliary equation. 

Q: Find the sum of the infinitie geometric series. (If an answer is undefined, write UNDEFINED.) 64+56...

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Q: 3. A jar sauce. How many cups of spaghetti sauce do 4 jars contain?

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Q: The region bounded by the curve ×=y2, the y-axis, and the line y=2 is revolved about the x-axis. Fin...

A: We have to find volume. 

Q: бх + 7 3. (x+2)

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Q: iven the points A (-7, -2), B (5, -2), and C (0, 8), determine the area of the shape ABC. The area o...

A: Given problem:- Given the points A (-7, -2), B (5,-2), and C (0, 8), determine the area of the shape...

Q: 5) y>10 (3v-1) (1+5w)

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Q: Prove the following: sin² 0 – cos² 0 = 1– 2cos² 0 %3D

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Q: 11. An airplane is flying parallel to the ground at an altıtude of 2 km and at a speed of 4 km/min. ...

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Q: Give The Taylor series abour fa) = ex mring Series-> for the followingevaluaro ns, and Firor Five te...

A: Put x=-5 and x=1/2

Q: Activity 1. Solve for what is asked. Expresses your answer in simplest form. 1. Find : dx x = 8

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Q: 10. Homogeneous Equations: Solve the differential equation: xdy – ydx – x? –- y²dx = 0 O arccos() = ...

A: dydx=y+x2-y2xdydx=yx+1-(yx)2y=vxdydx=v+xdvdxv+xdvdx=v+1-v2x dvdx=1-v2  ...(1)

Q: Let f(x) = x and compute the Riemann sum of f over the interval [2,3], using the following number of...

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Q: The line passes through the point (-1, 4, -5) and is parallel to v = 2i – j. %3D

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Q: ind any critical numbers for the function f(x) = 6x - 3x +8 and then use the second derivative test ...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Explained below 

Q: Determine the domain of the following functions. 3. (x) = x+3 4. f(x) = 5-

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 4j + 4k and the vector component of v ort...

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Q: Find the derivative of the function. f(x) = 7x2 In(9x)

A: To find derivative of given function.

Q: 3. c ² +7z+10 dz, C: |F|=1

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Q: 3s – 5 L-1 [(s (s – 5)(s + 2)²]

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Q: Q1: Find the solution of the following Differential Equations 2. dx + 3y = e* + 2 3. dx2 x = 0 dx

A: We will find the Differential equation solution 

Q: Evaluate the area under the parametric curve given by x = 2, y = 4t – 1² and above the x-axis on the...

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Q: For the demand function Qd= a- bP and the supply function Qs=dP-c, using Cramer's rule, determine th...

A: To determine the equilibrium proce and equilibrium quantity.

Q: g (x) = arctan a) Series: En=0° b) First four nonzero terms: c) Within the interval of convergence:

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 14j as ...

A: ANSWER IS GIVEN BELOW.

Q: olve the bessel equatio

A: answer of given question is in step 2

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: For solving all above parts we have to use concept of unit vector.

Q: Solve the following: a) [4/(x+ 1)] – [2 / (2x – 1) b) (1/y)+(1/2y)+ (2/3y) c) (2a²b³/3z²)÷ (ab²/2z) ...

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Q: A cylinder shaped can needs to be constructed to hold 250 cubic centimeters of soup. The material fo...

A: Find out the dimensions that will minimize the production cost.  

Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -3i + 8j - k v = 3i + j - k O pa...

A: Two vectors u and v are orthogonal if and only if u.v =0 .