8 №₁ 4-x² x+4.x² dx

Q: In a town of population 12,000 the rate of growth of a flu epidemic is jointly proportional to the…

A:

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A:

Q: Suppose that P = f(t) is the population (in millions) of the country t years after the year 2000.…

A: Given that P= f(t) is the population (in millions) of the country t years after the year 2000

Q: Evaluate the following limit: lim+1 x+1 01 2 02 Oc undefined

A:

Q: Question 6 Find the limit, if it exists. lim (e²r + x) = 1-0+ 01 O e² 0 3 02

A: Given    limx->0+{e^(2x)+x}/(1/x)

Q: Find the volume of the solid with the given base and cross sections. The base is the circle x² + y²…

A:

Q: A construction worker is pouring concrete stairs. The first step requires 1.8 cubic feet of…

A: Concept: Arithmetic sequence: The series where the common difference between any two next words…

Q: Water is leaking out of an inverted conical tank at a rate of 14000 cubic centimeters per min at the…

A: Given that, the leakage rate is 14000 cubic centimeter, the height of the tank is 12 meters and…

Q: 4. Solve the triangles. a) a = 5, b = 7, c = 12 b) B= 25°, a = 41°, b = 170

A:

Q: IV. Fill in the blank to make each statement true. Use correct notations. 2. If ƒ(x) = 1 – log5 x,…

A: The objective is to find inverse of f.

Q: Find the limit and determine if the function is continuous at the point being approached.

A: This question can be solved using the concept of limit and continuity.

Q: Evaluate the double integral (x² + 2y) dA, where D is bounded by y = x, y = x³, and x ≥ 0.

A:

Q: Let G(x) = sec 0 do for a in [0,]. Find G'(a).

A:

Q: 1 cos³x -dx =

A: The given integral is 1/Cos3x.

Q: For each positive integer n, define an = n² sin 2 +∞o 1. Determine if the sequence {an} converges or…

A:

Q: • 25 Which of the following graphs represents (+2 30 la T 7 17 T 49 19 15 O . 7 17 T 19 19 15 19 19…

A:

Q: The kinetic energy, k, the amount of energy that a moving object has, can be found for a particular…

A: By putting the given velocity of roller coaster in the given radical function, we get our desired…

Q: market

A: At market equilibrium, Demand= Supply , Supply: y = -0.05x +3.7 Demand: y = 0.02x + 2.3

Q: 5. Prove the identity: cot(A + B) cot(A − B) = - cot² B tan² A tan² A cot² B - 1

A:

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

A: Please see the below picture for detailed solution.

Q: b

A:

Q: Consider the function f(x) = = Let F(x) be the antiderivative Then F(x) = 7 3 x² x7 of f(x) with…

A:

Q: Which linear equation has the solutions (2, 4) and (-2, 6)? y = 2x + 8 y = (1/2)x + 3 y = (-1/2)x…

A: The given problem is solved below in steps.

Q: Thank you! It's a little hard to read. If you don't mind, may you upload a picture?

A: Our Aim is to find two positive numbers satsisfying the following requirement given below:-The…

Q: Using Part I of the Fundamental Theorem of Calculus, evaluate: d d.x 10 t³ dt =

A:

Q: Given that answer = [*f(x) dx = 45 13 > [². what is f(v)dv?

A:

Q: tan Find the integration of 1₁ 1+z²

A:

Q: What are the coordinates of the y-intercept of the equation 5x - 3y = 2? (0, 2/5) (0, 5/3) (0,3/5)…

A:

Q: If two terms of an arithmetic sequence are a₁₁ = 26 and 815 = -10, what is 828? -226 O-217 O-127…

A: I have stated the used formula in the solution.

Q: You find a rare comic book at a yard sale and determine that the price of the comic book, y,…

A:

Q: 1. y'= exp (2x - y). ANS. 2e" = e²2x + c.

A:

Q: 2).  Suppose that  ∞ n = 0 an(x + 4)n  converges at  x = −5.  At which of the following points…

A: Given that, the series is ∑n=0∞anx+4n, the series converges at x=-5. Rewrite the∑n=0∞anx+4n as…

Q: The graph of a function f is given. Use the graph to estimate the following. y w. 2 3 (a) All the…

A: Given Graph:-

Q: price

A: At Equilibrium, Demand = Supply,

Q: Find two positive numbers satisfying the given requirements. The product is 182 and the sum is a…

A: Topic- Quadratic equations

Q: (4x-1)dx (2x+1)Z 3

A: ∫(4x-1)dx2x+13/2 Let  2x+1=y ⇒ 2x=y-1⇒4x=2y-2⇒4x-1=2y-3

Q: 3. S (5x-12)dx x3-6x²+8x

A:

Q: = f(x) = ='(x) = L'ea 1 t²dt then

A:

Q: The route that a trolley takes around a city can be represented by the functions x² + y² = 5. A…

A: To find out the location means the points where the trolley meet the train.

Q: 1. T 3 x² - 2x + 6 (x² + 2)(x − 2) dx

A:

Q: (b) Show that the following sequence is convergent: 1+ (-1)" n² Yn = √2+ (c) Show that (yn)neN is…

A: A Sequence <an> is convergent if and only if limn→∞ an is finite and unique.

Q: 3. [√1+√zdz

A: Given:             ∫1+zdz  Apply u-substitution             u=z+1→dudz=12zdz=2zdu       =2∫u23-udu…

Q: What is the equation of the surface revolved about the x-axis for z² - xz = ln x + 3x? A. y² + z² =…

A: Given:- The equation of the surface revolved for the x-axis is, z2-xz=ln(x)+3x

Q: Consider the following geometric series. 00 = n = 1 (-5)" 9n Find the common ratio. Irl 1 Determine…

A: Given, ∑n=1∞-5n-19n

Q: * Express the sum using summation notation 6² 6² 6th Complete the sum of the sequence. 0 Σ 4 k=1

A:

Q: What are the coordinates of the x-intercept of the equation 2x - 3y = 8? (-4,0) (-8/3,0) (0,-8/3)…

A: Please see the below picture for detailed solution.

Q: An object moves with velocity as given in the graph below (in ft/se How far did the object travel…

A:

Q: The average value, f, of a function, f, at points of the space region is defined as f=¹ f dv, Ω…

A:

Q: Find the average value fave of f(x) = x5 between -1 and 1, then find a number c in [-1,1] where f(c)…

A: We have to find the average value of function and value of c.

Q: The area of the region bounded by the curves f(x)=x²+1 and g(x)=2x+1 is best described by: a. ² [(2x…

A: