Find the equation of the normal line to the curve y = x³+ 3. at (1, 4). %3D O a. x = 1 O b.y = 4 O C.x = -1 d. y = -4

Q: Problem 13. Let f(x) = 2sirtx) %3D f'(x) =

A: We know that; The Chain rule: fgx'=f'gx·g'x And ddxax=axlnaddxsinx=cosx   Given: fx=2sinx

Q: 3 Which of the following properties describe the sequence n3 Jn=4 Bounded, not monotonic Not bounded...

A: We have to choose the correct option according to the given options using the property of sequence

Q: of e dydx

A:

Q: Using differentials, determine the appropriate increase in the volume of a sphere if the radius incr...

A: topic- differentials

Q: It is easy to check that for any value of c, the function y - 2x = ce +e-* is a solution of the equa...

A:

Q: What is the graph of the equation (x – xo)² + (y – yo)² + (z – zo)² = r² ? Sphere Cylinder Plane Cir...

A: we have to cheek and find correct option

Q: dx 2x x2

A:

Q: Given the below differential equation, solve for the value of y(t) att = 3.8 s. 2.5y" + 11.2y' + 5.4...

A: This is a second order homogeneous differential equation with constant coefficients the solution of ...

Q: a) State the number of edges in the complete graph K9, where each pair of distinct vertices is adjac...

A:

Q: - If y = (2x + 7)², then what is ? dx dy a. 2(2x + 7) dx = 2 %D b. dx 4x 8x + 28 dx e. If y = (2x2 -...

A: NOTE: Refresh your page if you can't see any equations. . take derivative ...............option...

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

A:

Q: Question 13 d?y of y = 4x dx' Find the 3. y" = 4 Eethis reapon

A:

Q: Match the following improper integral with the improper integral below in which you can compare usin...

A: Need to check the convergence by comparison test. Given The improper integrals are  A∫1∞1xdx, B∫1∞1x...

Q: Set up (Do not Solvel) the volume of the sold whose base is bounded by the graphs of yx+1 and y x?. ...

A: Given y=x-1y=x2-1The cross section are perpendicular to the x -axis are equalatral triangles a=x-1-x...

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: 1 x =e" cos v, y=e" sinv uaz เมื่อ แ=1 และ "=- 3 และ ĉu Find

A:

Q: T "cos(x²)dxdy? What is the reversed order of integration of 'y a. I T cos(x²)dydx ST"cos(x²)dydx O"...

A:

Q: Sketch and describe the curve defined by the vector-valued function below. 7(t) = (t cos t, t, tsin ...

A: To sketch: The curve r(t)→=&lt;tcost,t,tsint&gt; Solution: Given x=tcost,y=t,z=tsint x2+z2=tcost2+ts...

Q: Find the real valued general solution of y" + 5y = 0. %3D

A:

Q: Suppose that f(x) is a function with f(145)=31 and f' (145)= 9. Estimate f(149.5) f(149.5) = ______

A:

Q: find the equation of the normal line to the curve y=x^3 + 3/x at (1,4)

A: Solution ) Normal line is perpendicular to the tangent line  So first find slope of the tangent line...

Q: Find the sum of the convergent series. 6 0.6 +0.06 + 0.006 +. .

A: Given,Sn = 6 + 0.6 + 0.06 + 0.006 + 0.0006 + ..... = 6.66666...    110 Sn = 66.66666....            ...

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

A:

Q: Section 3.4 p. 308/310 # 192 Express the rational function as a sum or difference of two simpler rat...

A:

Q: а. y = Vx and y = x3 %3D

A: As per Bartleby's Rule:Since the three questions are not connected, so they are three different ques...

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: For the function f(x)=x²-x³, find a formula for the Riemann sum obtained by dividing the interval [−...

A:

Q: ad the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or -...

A:

Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at ...

A: This question can be solved by applying the concept of tangent and normal

Q: c) Find the inputs that generate a horizontal tangent line. x2 y = X-1

A:

Q: 1. S xª –1

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Suppose an object in circular orbit stops in a 9. position where cos(0) : The terminal point is 13 l...

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: Consider the two-dimensional vectors a and b. a = ,  b = Find the measure of the angle ? between a ...

A:

Q: Evaluate the trigonometric functions at the special angles. Match the function with its value. 1. -V...

A: ⊙ tan(210°) = tan(180°+30°)                        = tan(30°)                                       ...

Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

A: Given series is ∑n=1∞6π7n   To Check :  The given series is convergent or divergent.

Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = xo, and then find the nth Taylor ...

A: The taylor series polynomial of f(x) at x=x0 is given by:                        f(x) = ∑r=0∞f(r)(x0...

Q: Given the series * 4" n=1 |an+1 find the ratio an (Express numbers in exact form. Use symbolic notat...

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: SIT x y z dx dy dz Evaluate 0. O 3 0 4 0 1 O 2

A:

Q: QUESTION 6 | 16-ydy can be eliminated by applying lim t+ -0 6-ydy The infinity in the O True O False

A:

Q: Problem Consider the surface defined by f(x, y) = ln(5y – 7.x). Find the equation of the tangent pla...

A:

Q: notation. If the interval of convergence is a finite set, enter your answer using set notation.) Nee...

A:

Q: The angle of rotation is 18.485 of the conic section with equation Ax-Bxy +Cy 4, if A- C- 20 and B+C...

A:

Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 00 Σ f(x) =...

A:

Q: 25. What is the y' of y = tan(6x - 5)? a. y' 6csc2 (6x - 5) b. y' = tan(6) с. у' %3 6sec? (6х - 5) d...

A:

Q: Find a formula for the parabola shown below. 3- 2 (-1,0)|| (7,0) 5 4 -3 -2 1 1- 4 5 8 -3 40 (0, -4} ...

A:

Q: 4. If f(x) is any polynomial of degree 10, then the 9th derivative of f (x) is zero. 5. If f'(0) = 0...

A: A detailed solution is given below  

Q: a. Find a particular solution to the nonhomogeneous differential equation y" + 4y' + 5y = 5x + 3e-. ...

A: a) find the particular solution of the differential equation  y"+4y'+5y= 5x+3e-x  b) find the genera...

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

A: