Find a vector equation and parametric equations for the line. (Use the parameter t.) the line through the point  (7, 0, −3)

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Q: Find the derivative of the equation: h(w)=(5/2)(w2+8w+1)(3/2)(2w+8

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Q: Evaluate the integral. 了學 ( Inx dx O- In x - +C 2x 4x2 O-4 In x - + C 4x2 0.을 Inx- +C 2x2

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Q: In (1+x) lim

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Q: group homomorphism preserves identity i.e. for any homomorphism, f :G → G' , if e is the identity el...

A: Proof be attached in second step hopefully you understand.

Q: 1 If 15.0 liters of neon at 25.0 °C is allowed to expand to 45.0 liters, what must the new temperatu...

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question... than...

Q: = csc x and the interval [0, 27), for what value of x does f(x) : On the graph of f(x) apply. = -1? ...

A: We can find the answers as below in support of the above question.  

Q: For the differential equation: (D³ + D² + 4D + 4)y = 0 when x = 0, y = 0,y' = -1, y" = 5 %3D %3D %3D...

A: Here we have to find the solution of differential equation.

Q: | 2х cos(2x) dx

A: Given problem:- ∫2x cos(2x) dx  Method:- we use integration by parts to this problem

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A: NOTE: Refresh your page if you can't see any equations. . take x=3 the point on the curve is 

Q: Evaluate the difference quotient and simplify the result. h(x) = x2 + x + 5     h(x + Δx) − h(x) Δx...

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Q: 6. Find the integral Ssin T* jsin² 2 TTX 2.

A: We have to find integral

Q: Q1 (9 M)/ Use Gauss's theorem to evaluate ff. F.ds where F= 4xi - 2y'j +z°k and S is the surface bou...

A: We have to evaluate the integral ∬SF·ds where F=4xi-2y2j+z2k and S is the surface bounding the regio...

Q: The Physics Club sells E = mc? T-shirts at the local flea market. Unfortunately, the club's previous...

A: Solution is here

Q: Solve the non-homogenous differential equation below dy 2y + x – 3 dx y+ 2х —3

A: Given that a non homogeneous differential equations and we solve by using general property of differ...

Q: Compute the directional derivative in the direction of v at the given point. S(x, y) = xy – x, v=i-j...

A: Given problem:- Compute the directional derivative in the direction of v at the given point. f(x,y)=...

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the s...

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Q: For the differential equation (D3 + D² + 4D + 4)y = 0 when x = 0, y' = –1, y" = 5 Find when x = Tt y

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Q: 4) metabolic rate (kcal/h; tog scale) Biologists often investigate relationships between properties ...

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Q: Find the values of m and b that make f continuous everywhere: 42 +a – a2 I+ 6 if x 3 When showing y...

A: Follow the procedure given below.

Q: Find a function z=f(x,y) that has partial derivatives given below. f_x=2sin(x)cos(x)-6xy^2 and f_y =...

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Q: Solve the linear differential equations d²x dx + 2 + dt2 dt dx + 5x = 8e-t when t = 0, x = 0,- = 8 d...

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Q: dy Given the equation below, find dx - 30x³ + 8x45y + y" : - 21 dy dx Now, find the equation of the ...

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Q: Question Given f(x) = 3 fihd f (-4) using the definition of a derivative. I+2'

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Q: dx 4-x とt

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Q: dx -1.4x + 0.5y, dt dy 2.5x – 3.4y. dt For this system, the smaller eigenvalue is -3.9 and the large...

A: Please see the below picture for detailed solution. 

Q: (Зх — у — 4)dy — (х + у— 4)dx %3D 0 - -

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Q: (x^3 + x^4)dx + 8y^(3)xdy = 0

A: x3 + x4dx + 8y3xdy = 0

Q: 3. (a) Evaluate the following with the trigonometric form of Beta functions(Give your answer in term...

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Q: 8:43 B O O * all all 73%t cln 10 Evaluate In 8 -dx et – 5

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Q: 5. у %3D sin? (3x2 — 1) 6. Р() %3D 4csc(sin3t) ans. y' = 6xsin(6x² – 2) ans. P'(t) = -12(cos3t)csc(s...

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Q: A. Write A if the function is continuous and B if not. 1. f(x)- x2 +2x + 1 at x 2 %3D 2./(x) = x2-16...

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Q: cos(x) dæ with n = 4 is: The Trapezoidal Rule approximation for

A: Given ∫14 cos(x)x dx   n= 4 here f(x) =cos(x)x

Q: Find the tangent to y = x-x+5 at x = 5. The tangent to y = /x -x+5 at x= 5 is y = || 2.

A: As we know that, The expression for the equation of the tangent line is: y-y1=mx-x1 Where, ''m'' is ...

Q: ntegral. 1 3t(2 – t)²dt -1

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Q: A function f(x) has derivative f'(x) = 3x²+ 18x. The graph of f has intercept at x = -1. Find f(x). ...

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Q: 2.2 2.4 | g' (x) | 25 49 81 Let y = g(x) be the particular solution to the differential equation = g...

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Q: 5. Some integrals might seem complicated. But they will simplify significantly if you look at them i...

A: We know that the trigonometric identities; 1). sin2θ+cos2θ=12). sin2θ=2cosθsinθ And ∫1ax+bdx=1alnax+...

Q: %3D 3. Given a geometric sequence where a= - 128 and a,= - 512. (a) Using the nth term of a geometri...

A: Given

Q: An airplane is flying on a horizontal path at the height of 3,800 feet. At what rate is the distance...

A: We need to find rate of distance changing.   ddθ(cscθ)=-csc(θ)cot(θ)

Q: cln 10 Evaluate Jin 8 dx e – 5

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Q: is the collection of all elements under consideration in a statistical inquiry. A. Statistics C. Pop...

A: Population is the collection of all elements under consideration in a statistical inquiry

Q: 2 2.2 2.4 g' (x) 25 49 81 Let y = g (x) be the particular solution to the differential equation dy =...

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Q: write the standard form of the equation of the circle with the given characteristics. Center: (-1, 2...

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Q: 45 6 7 2 3 8. -1 -2 -3 2.

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Q: h(x) =x tan (2/x) + 8

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Q: Vx+I dx. Vx +1

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Q: 4. if x - 5 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x) = lim...

A: Topic = Limits