tan3x 6. lim X-0 tan4x

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your a...

A: Here we have to find the given inverse Laplace transform.     L-1[(6s-12)/{(s2+s)(s2+1)}]

Q: the

A: We will find the vertical asymptotes if it exists. 

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

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Q: Graph the function f(x) = x + 4/x Graph the secant line that passes through the points (1,5) and (8,...

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Q: 7.) f (x)> (3x+2)(5x-2)

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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: x Vx 2 dx

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

Q: Determine whether the planes are parallel, orthogonal, or neither. 3x - 15y – 3z = 7 4x 20y – 4z = -...

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Q: Construct a truth table to show that (p Ag) - p is a tautology.

A: We need to construct a truth table and prove given is a tautology. 

Q: TE: Enter the exact answers in terms of i,j and k. Same direction as – 3i + 5j. u = Oppositely direc...

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Q: Graph the function f(x) = x+4/x Graph the secant line that passes through the points (1,5) and (8,8....

A: To graph the function fx=x+4x.To graph the secant line that passes through the points 1, 5 and 8, 8....

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: Q2: Find the solution of the following Differential Equations 1. dx2 d²y dy – 6y = 0 - - dx 2. y" + ...

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Q: x(x² +y* )° (ydx – xdy)+ y dy = 0 Ans. (x +y)' = 6y° In

A: Put x/y=p and solve it. 

Q: Show that the equation below is an inexact equation. Find the integrating factor in terms of t only ...

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Q: 3. Solve this third-order ODE by using the method of undetermined co- efficients: y" – y = exp x . -...

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Q: 5. Determine constants a, b, c, and d that will produce a quadrature formula f(x) dx = af (-1) +bf(1...

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Q: Consider the parallelepiped with adjacent edges u = 5i + 9j + k v = i+j+3k w = i+ 5j + 7k Find the v...

A: volume of the parallelepiped is given by  u→·v→×w→

Q: Find an equation of the plane with the given characteristics. The plane passes through the points (5...

A:

Q: f (x, y) ety + 4 cos Y. (1) Find the rate of change of this function at (3, 0) in the direction of i...

A: Find your answer below 

Q: 11. Determine the values of n and h required to approximate e2r sin 3x dx to within 10-4. Use a. Com...

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

Q: . Homogeneous Equations: Solve the differential equation: x²+y? y' xy O y? = x² In cx² O x?y² = In c...

A: To solve given homogeneous equation.

Q: s3 + 3s2 – 12s + 4 e) lim s-2 s3 - 4s x- V3x + 4 f) lim x4 4 - x x² + 4 – 2 g) lim

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Q: Given the graph of a function f (x). Find f (c) and lim f(x) where c are as follow: 20 15 f(c) lim f...

A: Graph of the function is given, we have to find the required limit values

Q: Use integrals to find the area of the region enclosed by the quadrilateral with vertices at (0,1), (...

A: Question-  Use integrals to find the area of the region enclosed by the quadrilateral with vertices ...

Q: A function f(x) and interval [a, b] are given. Check if Rolle's Theorem can be applied to f on [a, b...

A: To test whether Rolle's theorem is applicable or not.

Q: 36,37

A: As per our guideline is multiple questions are posted we are supposed to answer only the first one. ...

Q: - 4x +7 on the interval [0, 4). Verify that this function satisfies the three Consider the function ...

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Q: Linear coefficients in 2 variables: Solve the equation: (x-y+1)dx-(x+4y+1)dy

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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: e dx

A: Definite integration

Q: (s + 1)3 s6

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

A:

Q: 11. Identify the correct mapping rule for the following transformed function: * f (x) = -V-2 (x + 6)...

A: The objective is to identify the correct mapping rule. 

Q: Consider the function f(x) = 2x3 – 6æ² – 48x + 3 on the interval [-5, 8]. Find the average or mean s...

A: mean value theorem

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your a...

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Q: By applying Rolle's theorem, check whether it is possible that the function f(x) = a° + x – 6 has tw...

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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: бх + 7 3. (x+2)

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Exact equations: Solve * (2x + 3y) dx + (3x + y - 1) dy = 0 O x* + 6xy + y² – 2y = c O y2 + y* = c

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Q: Use differentials and the graph of f to approximate the following. (Round your answers to three deci...

A: From the given graph: f(2)=1,f'(2)=0-24-0=-24=-12

Q: How many nonzero terms of the Maclaurin series for In(1 + x) do you need to use to estimate In(1.2) ...

A: A Maclaurin series is a Taylor series expansion of a function about 0.

Q: 4. S 2z3 el-z dz 5. S Vx In(Vx) dx Vr3 6. Si, Inx dx

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

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Q: Consider the parallelepiped with adjacent edges u = 5i + 7j + k v = i+j+2k w = i+ 9j + 2k Find the v...

A:

Q: 수) +sin?y-0 2 (fy) dx dx

A:

Q: x(2x? + 1)6 dx

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Q: 1.0 0.5 2.0 1.5

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Q: Find the exact value of the cos 75° using a half-angle formula. cos 75° = 2+V3 :: 2-V3 :: 2-V3 VV3-2...

A: Let's find.