The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 1 and roots of multiplicity 1 at x = 0 and x = − 1. It goes through the point (5, 384). Find a formula for P(x). P(x) =

Q: Consider the following.   36 7   2x + 1 dx   0  Let  u = 2x + 1.  Find du. du =

A:

Q: A supply function has the equation is p = · -q²+20, and the demand function is decribed by the…

A: for equilibrium point  supply and demand are equal there for  12q2 +20=86-6q-3q2

Q: Use properties of a right triangle, trigonometry, and implicit differentiation to determine the…

A: By using the properties of a right triangle, trignometry, and implicit differentiation to determine…

Q: Find f f(x, y) dA where f(x, y) = x and R= [5,8] × [-3,2]. SSR f(x,y) dA= Preview My Answers Submit…

A: The rectangular region is R=[5,8]×-3,2. So, 5≤x≤8 , -3≤y≤2. Also, fx,y=x. So, the double integral is…

Q: Find a critical number of f when f'(x) = 2x³ + x² – 3x. (a.) x = NIW 2 (b.) x = 1 (c.) x = -1 (d.) x…

A:

Q: 4.37. Suppose f(z) and g(z) are integrable. Prove that (a) [f(z) dz= - [ƒ(2) d² b [f(z) dz, (b)…

A:

Q: Assume the bucket is leaking.It starts with 5 liters of water (5 kg) and leaks at a constant rate.It…

A: We need to find work done.

Q: Find the point on the plane x - 2y + 3z = 9 that is closest to the point (0, 2, 1). 5 3 23 8'4'8 )…

A: The equation of the plane  x-2y+3z=9

Q: Why does I1 = ln(u) in step three?

A: We have to tell why does  I1 = ln(u) in step 3

Q: 6. Use a series to find the limit. x-In(1+x) x² a. lim x-0

A: Not Since you have asked multiple question As per our policy, we will solve the first question for…

Q: Calculate the integral approximations T6 and M6 for ₁x¹ dx. Your answers must be accurate to 8…

A:

Q: Fuck with 48-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of the wheels in…

A: Given Diameter= 48in  So, Radius= 24in Speed= 55mi/h We know that 1mile=5280 feet and, 1feet=12in

Q: 1. Consider the sequence an = cos² 3πn² n²-5 a. Does the sequence converge, or not? If it is…

A: To determine whether the given sequence converges or not

Q: If y = tanh-¹ (cosz), show that d'y dy (tanz) + dr2 da = 0.

A:

Q: Solve the FIRST ORDER LINEAR D Linear in r sin e dr de -1 - 2rcos 8

A: We have to solve  thegiven   First order linear differential equation  which is linear in r.

Q: Given ƒ'(x) = 3xª − 4x³ + 7. Determine which interval the graph of f is concave downward. (a.) 1<x<3…

A:

Q: Problem 5: Find the two points on the curve y = 2x² that are closest to the origin. (Explain why x =…

A: NOTE: Refresh your page if you can't see any equations. . as we can see the given function is a…

Q: Find an equation for the graph sketched below B 8p KRAGEN PARAU

A: To write an equation for the given graph of a function

Q: 13. 2п 3 14. 3 п 4

A:

Q: Let f(x) be a continuous and increasing func [F(t)di 0 0,00) and let F(x)= X '(x) is increasing on…

A: Topic:- application of derivatives

Q: y = x³ - 12x² + 35x and y = -x³ + 12x² − 35x - 153.5

A:

Q: Find the vertex, focus, and directrix of the parabola, and sketch its graph x² - 6x + 8y + 17 = 0

A:

Q: (a) ? Use any method to determine whether the series converges. k k² +6 √k k² +6

A: We need to find the convergence of the given series.

Q: For each of the labelled points on the graph, classify the corresponding point on the graph of y =…

A: Given Graph:-

Q: 4. y(2xy² − 3) dx + (3x²y² − 3x + 4y) dy = 0

A: Given differential equation y( 2xy2 - 3 )dx + ( 3x2y2 - 3x + 4y )dy = 0 standard form Mdx + Ndy = 0

Q: Find the area A of the sector shown in each figure. (a) A = (b) A = 61 ° 3 0.3 rad 10

A:

Q: Use differentials to estimate the value of 16.1. Compare the answer to the exact value of 16.1.…

A: We are required to find the estimated value and exact value of 16.14

Q: Question 4 What are the associated roots for R(x) in the differential equationy"-y= R(x) whereR (x)…

A:

Q: Given f'(x) = 3x4 — 4x³ + 7. Find all critical numbers of f'. (a.) 1 and 2 (b.) 1 and 3 (c.) 0 and 1…

A: To find the critical numbers of f'

Q: Find fry when 1. fxy 2. fxy 3. fxy 4. fxy f(x, y) = (x+2y)exy. = - (2 − xy)(x + 2y)exy (2 +…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Activity 5 A hyperbola is the set of points such that the difference of the distances from two fixed…

A: The radius difference is 7 so the number of points are below 4 for both side in circle 2 and 9 4 for…

Q: The figure below shows the derivative f' of f. f ' (x) 4 10 + x मुंह 2 6 8 12 (a) Choose all…

A: We know Function increasing when f'x≥0Function decreasing when f'x≤0

Q: ***Determine whether the following series converges or diverges. Input C for convergence and D for…

A: NOTE: Refresh your page if you can't see any equations. . use the alternating series test

Q: d. f(x) = (2x-3)5 (2x²- e²x)-3

A: Given query is to find the derivative of the expression.

Q: f(x) = 2x² + 2x + 1 (a) h(x) = lim h(x) = X→ 00 (b) h(x) = = lim_h(x) = X→ ∞ (c) h(x) = lim h(x) 818…

A:

Q: The height (in meters) at time t (in hours) of a balloon is given the formula h(t) = -20tª + 80t.…

A: The height (in meters) of a balloon at time t (in hours) is given by ht = -20t4+80t…

Q: The rectangular coordinates of a point are given. Plot the point. -1.5 -1.0 O (1, 0) (r, 8) = -0.5 y…

A: The objective is to solve the above question.

Q: Consider the line y = ax, where a is a positive constant. What is the shortest distance between the…

A:

Q: Hello   This answer came back incorrect.

A:

Q: Graph and label (w/ letter) the following points given in polar coordinates. A(7.) A 7,- B(5,-2) D…

A: we need to graph the polar coordinates and have to label them.

Q: 15. Integrate f(x): = sin(x²) x using a power series

A:

Q: Find all the values of x such that the given series would converge. The series is convergent from ==…

A:

Q: Which of the following series should be used to determine the convergence of the series Select the…

A:

Q: Find the Laplace transform of the following functions. (a) S6 0 < t ≤ 3 = 2 t≥ 3 {{ f(t)

A: according to bartleby guideline we do only first part of muktiple questions f(t)=6  0≤t≤32   t≥3from…

Q: 1-4 Find the local and absolute extreme values of the function on the given interval. 1. f(x) = x² -…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The equation y = log(x - 3) has a vertical asymptote at: X =

A: for vertical asymptote put  x-3=0

Q: Consider the line y = ax, where a is a positive constant. What should be the x-coordinate of the…

A:

Q: dy Find L y = ln (2²+4) + + Icos HIN

A:

Q: If the sales tax 4% and the purchase price is $263, what is the amount of tax?

A:

Q: [x²_9, if X3 and values of & Such that Continuous at x=3

A: condition for continuse at x=3  is  limx→3+f(x)=limx→3-f(x)=f(3)f(x)=x2-9x-3,  if x&lt;3cx2+10, if…