Assume that y= 5x and de/dt = 2. Find dy/dt. Select one: 10 O 5 O 2 1

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Q: 8. Determine the general solution of the the differential equation: (r + y)dy = (x - y)dr (a) r? - 2...

A: As per Bartleby guideline, we have answered only the first complete question. If you want to get the...

Q: Q3. Use Newton's method and find an approximation for the root of the following function accurate to...

A: Here, the given function is: f(x)=x4-3x2-3, p0=1 And, f'(x)=4x3-3(2x)-0=4x3-6x So, p1=p0-f(p0)f'(p0)...

Q: By considering different paths of approach, show that the function below has no limit as (x.y)→(0,0)...

A: We have to find set of curve and final conclusion based on above question. 

Q: Find each limit ) li sinh) O li x→o+ ( - ex -I 3 li ×→マ 4 li ( Inx)' ×→や x³+8 Xtる lin x→ -2

A: First we take logarithm on both side then using l hospitality rule. 

Q: Find the radius of convergence and the interval of convergence. k + 7 k=0 Radius of convergence: Int...

A: This is a question of series calculation . Based on the general concept of the series we will find o...

Q: 1. Prove that the sum of the consecutive cubes is given by this formula: n²(n+1) 4 13 + 23 + 33 +..+...

A: Given; 1) 13+23+33+...+n3=n2(n+1)2/4 Repost the next questions.

Q: (y? + xy*)dx + (5y² – xy+ y* sin y) dy = 0 - Let M = y? + xy³ and N = 5y² – xy + y³ sin y ƏM 9. =?

A: We have to choose the correct option from the given options according to the given information

Q: What is the general solution to the differential equation (1 + x²)+ xy dy (1+x²)"½ dx

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Q: 8. Determine the general solution of the the differential equation: (x + y)dy = (x – y)dx | (a) x2 –...

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Q: 12. A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top and...

A: Given

Q: Suppose the function g is defined as g(x) = Fill in the following blanks. f(x) (Note: if g(x) increa...

A: The g(x) function is defined as g(x)=-5f(x) ........................................... (1) and the ...

Q: Determine whether the series converges. Σ k-I V3k – 1 O The series converges. O The series diverges.

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Q: ting factor for the given differential equation is

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Q: 4. Which of the following represents the differential equation of the family of parabola having thei...

A: Follow the procedure given below.

Q: Use your graphing calculator (or Desmos 2) to graph the following quadratic functions. a. Let f(x) =...

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Q: 5. Which of the following equations is not a variable separable? dy (a) y – 3 xy – 2x + 4y – 8 dy XY...

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Q: Find the indefinite integral of the equation below. (Remember to use absolute values where appropria...

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Q: A ship sails from a harbor for 16 nautical miles south. It then sails in the direction S 55 E for 18...

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Q: + find 5A-B where A 3 B= [4 -2 -1 0, -1- -2 3. 8.

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Q: Evaluate the derivatives of the following functions using implicit differentiation. 1. x3 + y3 - 3ax...

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Q: iv. f(0) = Preview v. lim f(x) = x→7 Preview vi. lim f(x) x→7+ Preview

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Q: A rock is thrown upward from a bridge into a river below. The function f(t) = height of the rock abo...

A: Let's find. 

Q: Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit. Let p(x) ...

A: Please see the below picture for detailed solution. 

Q: 8. Determine the general solution of the the differential equation: (x + y)dy = (x – y)dx (a) x² – 2...

A: Put y=vx and solve it. 

Q: For an exponentially growing quantity that grows at a rate of 4.0% per year, approximate the number ...

A: topic - exponential function

Q: IT y = /tan x then equals dx O 1) sec? 2/tan x 2) -sec? x 2tan x O 3) sec? x /tan x 4) - sec? x Vtan...

A: The given function,   y=tan x

Q: Which of the following best represents the particular solution of the differential equation: y" – 6y...

A: The given differential equation is y''-6y'+9y = 6x2+2-12e3x ⇒ D2-6D+9 y = 6x2+2-12e3x ⇒ D2-2·D·3+32 ...

Q: The demand functions for two products are given below. p1, p2, q1, and q2 are the prices (in dollars...

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Q: Determine whether the alternating series converges. 7ln k k k=3

A: This is a problem of series calculation. By using several test method we can decide whether series i...

Q: Given f(x) = 3x+22x-3x-70, answer the following. Part: 0/2 Part 1 of 2 Factor f (x), given that -2 i...

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Q: Set up a definite integral with respect to y (dy) (set up only, do not evaluate the integral) to fin...

A: Using double integration

Q: Use the following function to answer the problems below. S(+) = f(r) = (x + 2)² (a) Find the vertica...

A: The point at which the graph of the function changes its direction that is from concave upward to co...

Q: Determine whether the alternating series converges. 4ln k Σ- k O The series converges. O The series ...

A: Given Series ∑k=3∞ -1k4lnkk  

Q: Edit Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = x0 and then find the nth ...

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Q: 8,2 ſsecxtan xdx

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Q: p. Based on your table in part (a), complete the following statements. i. As x → – x, f(x) → - Previ...

A: b) i) As x tends to -infinity , f(x) tends to 0 .  as 1/-infinity =0

Q: 3. t dx

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Q: 8. Find the value of p for which the series 2n Inn (In (In n))" is convergent. n=3

A: the given series,        ∑n=3∞1n ln n.lnln n p

Q: V and V= 250 volts, R = 50 ohms. Determine the change in I resulting from an R 1. If = increase in 1...

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Q: Find and sketch the domain of the function. f(x.y) = Vy - 4x - 8 Find the domain of the function. Ex...

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Q: 3. Evaluate ". a, Inutc b. In u C. Inx+c

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Q: Determine whether the series converges. k2 +2 2 +7 k=1 O The series diverges. O The series converges...

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Q: axis. Find its exact area, no Find the area enclosed by the following parametric curves and the x de...

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Q: t0x² -4x²+8d 4 2- 多 et dx

A: 2. ∫10x4-9x2+8x2dx3. ∫ex2+xxdx4. ∫dxx

Q: -4 8 2 а) y -5 11 3 7 -4 -1 2 3 b) y 2 12 11 8. -3 2 -1 y 7 3 7 13 6 4- 4-

A: There can be duplicate y value but not x value in function

Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...

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Q: Find the standard equation of the parabola which satisfies the given condition. Focus (7, 11), direc...

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Q: Use the remainder theorem to determine if the given number c is a zero of the polynomial. S4) = 3x+6...

A: We have to use th remainder theorem to determine if the given number c is a zero of the polynomial  ...

Q: The functionf is defined as f(x) = (x – 5)(x + 6)². Answer the following - questions without using a...

A: Solution : fx=x-5x+62a. if fx=0x-5x+62=0x-5=0,x+62=0x-5=0,x+6=0x=5,x=-6roots are,x=5,-6