A) Find the Equation of the line that passing in point (3,5) and parallel or perpendicular to the 4x-y-5. B) Graph the following functions : a) y = b) y = X dy=-- 2x + c) y = X+4

Q: a) Let 3x2-1, for x3 f(x)= be a piecewise function. Eevaluate | Fx)dx= b) Let f(x) = 3x-1, for x< 3

A:

Q: Create an LOWER TRIANGULAR MATRIX using ROW operations. Show each step and the formulas used. Then, ...

A:   Given matrix  H:  1 6 5 8 8 -4 -4 -3 -5 3 -1 -2 5 -9 -5 7 -3 1 6 1 6 3 -7 -7 6

Q: Find y y=(t + 1}² - /E when t=1. Oa 1.75 Ob35 Oc45 Od.2.25

A:

Q: Find the area of the surface obtained by rotating the curve y = sin about the x axis for 0 < x < 7n ...

A:

Q: Find the lines that are tangent and normal to the curve at the given point. y = 7 sin (TX - y), (-1,...

A:

Q: S 2" +1 2n +n

A:

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function f(x) ...

A:

Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests. (If...

A:

Q: Graph the function f(t)=(t − 1)² and find its average value over the interval [0,3].

A: Follow next step

Q: Find the derivative of the function. -7 а) у — (2t – 3)2

A:

Q: Evaluate the integral. Show all of your work. x* х-1

A:

Q: Find f(-1,1,0) f(x,y,z)=(2xy-y^2+z)/(x^2+3xy+z)

A:

Q: A piston is seated at the top of a cylindrical chamber with radius 4 cm when it starts moving into t...

A: Given :radius of cylindrical chamber = 4 cmand dhdt=6cm/sVolume of cylinder when piston is 19 cm =?

Q: An integral expression for the area of the surface generated by rotating the curve X =Vy, 1sys8 abou...

A: According to our policy we are allowed to answer only one question at a time. Kindly repost other pr...

Q: . The derivative of y = 3VX4 – cosx is - D. x*/3 + cosx A. x/3 + sinx В. 4х /з + sinx C. 4x*/3 + cos...

A: y=3x43-cosx⇒y=3x43-cosxThen dydx=(3×43×x43-1)-(-sinx)                           =4x13+sinx

Q: After an automobile is 1 year old, its rate of depreciation at any time is proportional to its value...

A: We will calculate the time, then we will calculate depreciation value.

Q: When you are using the Midpoint Rule with n =3 to approximate x*dx. a) ]: What is Ax? Ax= b). If one...

A:

Q: dy 5. Use logarithmic differentiation to find dx of y = x²Vx – 7,x>7.

A:

Q: A train moves at a velocity of v(t) 3t 32007 km/sec where tin seconds is the time passed since the t...

A: We have a given velocity in term of time . We know , acceleration=dv/dt.

Q: Determine if the following series converge or diverge. Make sure you state which test you use to mak...

A: To find the behaviour of the series we will use the following tests. a) For this series we will use ...

Q: Moving to another question will save this response. sestion 2 A curve has an equation of y = x³ - 6x...

A: Guven equation of curve y= x3-6x2+9x+2 At point of inflection double derivative y"=0  

Q: Set up (Do not Solve!) the volume of the solid whose base is bounded by the graphs of y = x + 1 and ...

A:

Q: evaluate ∫∫xydxdy using the inner limits 0 to (y+1) and outer limits 0 to 1

A:

Q: fmd the laplaco oof -St e t Cost de

A: Let's find. 

Q: In (sin2x) sin2xdx sin3x +C 3 A sin2x +C B sinx +C sin x +C E None

A:

Q: Evaluate the following integral. dx x(x² + 3) Can partial fraction decomposition be used to evaluate...

A:

Q: A gardener wants to enclose the area outside of his house for his plants and flowers. One side will ...

A: Given that Area =150 m2Solution:Area =xy xy=150y=150xperimeter=2x+yp=2x+150xfor maximum perimeter dp...

Q: Find the velocity and position vectors of a particle, given its acceleration and initial conditions ...

A:

Q: Comparison Test: Suppose that > an and) bn are series with positive terms. If n=1 n=1 an = C lim n-o...

A:

Q: If you average 30 mi/h on a 150-mi trip and then return over the same 150 mi at the rate of 50 mi/h,...

A: In this question we have to find the Average speed for the trip.

Q: Let V(t) = t – 6t + 8 represent the velocity after t seconds of an object in meters per second. (a) ...

A: we haveV(t) =t2-6t+8

Q: . The derivative of y = xe + e" is D. ex А. хе В. хе + е^ С. exе-1 + е‑

A: Given: y=xe+eπ

Q: tank contains 200 liters of brine in which there are 3 kg of salt per liter. It is desired to dilute...

A:

Q: A gardener wants to enclose the area outside of his house for his plants and flowers. One side will ...

A: topic - application of derivatives

Q: Evaluate the following integral. 2x2 dx (x- 8)3 2x2 dx = (x – 8)3

A: topic - indefinite integral

Q: Given the function f (x,y) = cos2x - x2 e5y + 3y2, find the partial derivative fxy.

A:

Q: In space coordinates system, the y-axis consists of all points of the form O (x, 0, 0) O (0, 0, z) O...

A: we know that(x,y,z) is nothing but distace of a point from origin along the x,y,z-axis

Q: Given the function f(x,y) cos 2xーx3eY +āyン COS find te second partial olerivative fxy.

A: Let f(x,y) is the given function.Then  fx is the derivative of f with respect to x taking y as a con...

Q: The slope of the secant of the graph of y=3x - 2x2 through the points at which x = -1 and x = 2 is

A: The equation is y=3x-2x2  

Q: of e dydx

A:

Q: Where should the point:p be chosen on the line segment So as to maximize the angle o ? AB 2

A:

Q: A Moving to another question will save this ra Question 4 For f(x, y) = xexv, find fy (1, In 2) %3D ...

A: Topic:- derivatives

Q: Find y" if y = x + (x + 2)3 when x = 1 Оa. 16 O b.9 Ос. 18 O d.28

A:

Q: Given that y = ebx tan(: dy dx dy dx ||

A: y = e6x tan(5x)ln y = 6x tan(5x)Differentiating w.r.t  x;1ydydx =6x ddxtan5x + tan5x ddx6x1ydydx =6x...

Q: Find the function y = y(x) (for æ > 0) which satisfies the separable differential equation %3D dy da...

A: Given : dydx=3+17xxy2   , y(1)=6

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand serv...

A: Find your answer below 

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n= 4, c = 7 %3! P4(x) ...

A: Given:       fx=lnx, n=4, c=7   A taylor series is given by               fx=∑k=0nfkck!x-ck here n=4...

Q: An eagle flying at an altitude of 160 meters drops its prey. The trajectory of the falling prey is d...

A:

Q: х If f(x) = cos(1? + 1) dt, then find f'(x). %3D Select one: O A. None of the others O B. sin(x + 1)...

A:

Q: 3) and (2, 4, 5) are vert

A: