1. Which of the following is an ordinary, linear differential equation of order 2? +k?xt = 0 dt dx a. +k?x = 0 C. dt? d*x b. dx +k?x = 0 dt? dx dt d. +k*xt = 0 dt

Q: Evaluate the integral given below. Check your answer by differentiating. NOTE: Enter the exact answe...

A: Given integral is solved below in detail.

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: Solve the given differential equati1on. All solutions should be found. dy 25 – 2y dx NOTE: Use c for...

A: The given differential equation is; dy/dx=(x5-2y)/x2.

Q: A wooden artifact recovered from a tomb contains 54% of the carbon-14 that is present in living tree...

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Q: 6. Find the unit vector for which the directional derivative Duf(x,y) of f(x,y) = %3D 3x2 + 4y2 at t...

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Q: Evaluate. Show all your work. 1 .2 1-x

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Q: Find an equation of the line passing through the pair of points. (4, 3), (-4, –4) Sketch the line.

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Q: Describe how the graph of the function can be obtained from one of the basic graphs. f(x) = 4/x - 1 ...

A: Given query is to find find transformation applied to get the graph f(x) from h(x).

Q: f(z+h)-f(x) For f(r) V7z 1 37, findf (z) using the definition f '(z) = lim h30 h "(z) sing this, fin...

A: Given query is to find derivative by definition and equation of tangent.

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

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Q: 9. The graph of a quadratic function is a parabola whose axis of symmetry is parallel to the y-axis....

A: The graph of a quadratic function is always a parabola.

Q: A car was valued at $32,000 in the year 1994. The value depreciated to $14,000 by the year 2002. A) ...

A: A car was valued at $32,000 in the year 1994.The value depreciated to $14,000 by the year 2002.

Q: INTEGRATE THE FOLLOWING FUNCTIC PROBLEM 1: int. sin^3 y cos y dy

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Q: Find the point of minimum values of the function f(x,y) = 2x^(2) + 3y^(2) − 4x − 5 on the domain x^(...

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Q: For the functionf(x) = |x- 2|, evaluate the left and right limits of f(x) as x approaches 2. %3D Pro...

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand side limit of the func...

Q: Determine (without solving the problem) an interval in which the solution of the given initial value...

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Q: the ratio test to determine whether the series converges. If the test is inconclusive, then say so. ...

A: Please refer to the image below 

Q: Write an equation for a function that has a graph with the given charac The shape of y =x, but upsid...

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Q: Evaluate the derivative of the function at the given point. 1 t = 3 8t + 1 y =

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Q: If z(x, y) = 3x + 4y , x = t² and y = 2t. Determine the value of t where dz = 0 dt answer: 5.

A: Solution:  

Q: 10

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Q: 12 ("In xdx 5 a) Find the smallest K such that | f4) (x)| <K for 5 <x< 12. b) Use the part (a) answe...

A: Let's find. 

Q: Suppose y = V2x + 1, where x and y are functions of t. (a) If dx/dt = 15, find dy/dt when x = 4. dy ...

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Q: b. Consider the function g(x) = 2.8 sin(3r) i. What is the period of g? radians Preview ii. What is ...

A: Given query is to find period amplitude and the midline of the sine function.

Q: Vw² – 2w +3 lim W +5 W→-00

A: limw→-∞w2-2w+3w+5

Q: Consider the following graph. y 12 (13,11) 8 (1,2) (13,2) X 4 8 12 (a) Find the length of each side ...

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Q: 7 4. Find the inverse function of f (x) = %3D 5x+1 Write your answer using proper inverse function n...

A: Follow the steps.

Q: c 2 0 0 4 0 1 0 40

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Q: dy The following problem involves an equation of the form = f(y). dt Sketch the graph of f(y) versus...

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Q: f(x) =In(tan¯'x)

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Q: Use the method of cylindrical shells to find the volume v generated by rotating the region bounded b...

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Q: Let T: R² → R³ be defined by T((a, b)) = (a, a + b, a + 2b). Find range T and a basis for range T.

A: Given:    T(a,b) = ( a , a+b , a+2b )

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: lim f(x)

A: Looking at the graph, we can tell that

Q: nd the area of the circular sector given a central angle of and a radius of 3 inch

A: θ = π5r =3

Q: xplain what it means to say thất im _ f(x) 5 and lim f(x) x- 2 x-2* O As x approaches 2 from the rig...

A: Left hand limit of f(x) at x= 2 is 5;  Right hand limit of the f(x) at x= 2 is 4  What does means of...

Q: 2. S cos Vædx

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Q: 1 dx (ӕ—1)° 3 2.

A: The given integral is; 1/(x-1)3 limit from 2 to infinity.

Q: 13. 13. 5 68.5 -5 5 T68.5 -5 18 5 T68.5 -5 18 35 ー35 So, 6.85 : 5 = 13.7

A: Given :-       To find:- 6.85÷0.5 

Q: Find the equation of the tangent plane to the surface 2x^2 -xz + y^2 -zy = -5 at the point (1, 3, 4)

A: First we find out partial derivative at given point and then find the equation of the tangent plane ...

Q: Solve and choose the correct answer from the following options, the initial value problem dI + 12I =...

A: We have to find solution of given differential equation.

Q: Evaluate the integral. Show all your work. | tan (5x)dx -1

A: Given :∫tan-1(5x)dx

Q: 2x +3 and g(x) =4, find f(g(2)). x-1 5. Given f(x)

A: f(g(x))=fx-1xf(g(x))=2x-1x+3

Q: Solve: 3z2 + 10z = -8 2 3

A: NOTE: Refresh your page if you can't see any equations. . add 8 to both sides  

Q: The graph of f (x) = ax+b x²+3x-8 has horizontal tangent at (2, -1). Determine the values of a and b...

A: Given query is to find the value of a and b.

Q: 12. The time a person studies for a test is variation to success on test. an inverse a direct an ind...

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Q: 3. y/" + 6y + 8y 3e-2 + 2x

A: To find out the solution of the given differential equation. 

Q: Using IMPLICIT DIFFERENTIATION, find y'. +3y² y = 4x? – 5x°y 2ху + Зу? .3.

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Q: Determine the sum of the coefficient/s when we evaluate (sec(x) – tan(x))²dx.

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Q: Let f(r) = |3 + 67 . en for z (1) = The left-hand derivative of f(x) at = is -36 The right-hand deri...

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