Question 3 2x2 – 1 lima→0 x2 +1

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: Determine any three points on the plane given by 5x - 6y + 10z - 15  = 0. Using these points, give a...

A: The given plane is: 5x - 6y + 10z - 15  = 0. We have to find any three points on the plane. Using th...

Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: 5. Check if the following is a separable equation. dy * = xy + 1 O variable separable O not variable...

A: The detailed solution is given below Thanks 

Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = et –...

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Q: x3 - 3x?y = C

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

A: We will find the unit vector which satisfied the given condition in the following step.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round yo...

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Q: NUTES -3x PG. 8 Problem q: y" =94iyse",y2s e3*

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points (4...

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Q: Let a = ci + jand b = 8i + 6j. Find c so that the angle between a and b is. Round your answers to fo...

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Q: 1.4. E e-2k k=0 1.5. (-1)* k=0 k+1 1.6. k=53 k-1 M8

A: To analyse the given series.

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

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Q: ue Q(t) = 2400e-0.05t where t is measured in years, answer the following questions. (a) What is the ...

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Q: Showthat dz du

A: I am attaching image so that you understand each and every step.

Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic cylinde...

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Q: The functions f and g are continuous and differentiable with f'(x) = g(x). Selected values of the fu...

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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: Consider the following function: f(x) = ) = +" – 2v – 7 Step 3 of 4: Determine where the function is...

A: Given: Notice that f''(x)=6x2. Graph:

Q: Arithmetic sequence is given by a, = 0 and a15 = 4. What is the sum of the first 15 terms of that ar...

A: Given,            Arithmetic sequence is given by a5=0 and a15=4.To find : What is the sum of the fi...

Q: Construct the table of signs for f'(x) and f"(x) ginve f(x)= x4ex on its domain of (-inf, +inf)

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Q: Test the series for convergence or divergence

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Q: 4. DETAILS LARAPCALC10 3.2.004.EP. Consider the following. f(x) = -4x + 3x + 2 Find f'(x). f'(x) -8x...

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Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

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Q: Find the requested partial derivative. dz 3 if z° = z+ xy - 1 and y = x+ y- 1 dy 3

A: We have to find partial derivative 

Q: x Vx 2 dx

A: Here we have to evaluate         ∫x√(x+2)dx

Q: Using the rectangles each of whose height is given by the value of the function at the midpoint of t...

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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: Find the directional derivative of the function at P in the direction of v. V2 f(x, y) = x³ – y³, P(...

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Q: 4. (2y cos x + sin 'X) ax 5. y' = 1+ 3ytanx

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Q: Consider the following. u = -7i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

A: Here, the given vectors are: u=-7i-4j-2k, v=0i+4j+4k That is: u=-7,-4,-2, v=0,4,4

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

A: To test the convergence of given series.

Q: How many natural numbers n satisfy given conditions: when 5 is added to n it gives a perfect square ...

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Q: The next step is to find du = g'(x) dx. First find g'(x). %3D g(x) = x° + 8x g'(x) = Therefore, we h...

A: We can find the required answer in the following steps

Q: cos x dx Sx x sinx cosx dx 4. 3.

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Q: sin x cos“ xdx COS

A: The objective of the question is evaluate the indefinite integral.

Q: A spherical snowball is being made so that its volume is increasing at the rate of 8ft^3 min/ Find t...

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Q: Fill in the missing numbers in the table below. Then use the table to fill in the apparent value of ...

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Q: Find the gradient of the function at the given point. g(x, y) = 18xe/x, (3, 0) %D Vg(3, 0) = %3D

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Q: s) of intersection (if any) of the plane and the line. (If an answer does not 4y = -7, X 2 z – 5 %3D...

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Q: Find the gradient of the function at the given point. g(x, y) = 18xe"/x, (3, 0) Vg(3, 0) =

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Q: 3.1.053. A fast-food restaurant determines the cost and revenue models for its hamburgers. C = 0.9x ...

A: Solution is here

Q: 2. f(x) = V-3x+ – 2

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Q: Find the gradient of the function at the given point. g(x, y) = 18xe/x, (3, 0) Vg(3, 0) =

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Q: dations. 1. sinx siny dx + cosx cosy dy = 0

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Q: (y² – xy) dx – x²dy = 0 Ix-

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Q: Find a set of parametric equations for the line passing through the point (1, 0, 9) that is parallel...

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Q: t in 30 minute please duopoly with homogeneous goods. There ar

A: When there are only two firms in the industry, it is in their advantage to collude and set the price...

Q: u = 5i + 4j + k v = i+j+4k w = i+ 8j + 9k

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