Use sigma notation to write the sum. n [(=) --(-)----- [(*) --](#) Σ i=1 [[(%) (%) ] x

Q: Let f(x) = ²³ d. Find the value of ƒ¹ (2) af(x) 0 24 4 -8 -4 -24 12 -12 8

A:

Q: Use a triple integral to find the volume of the solid bounded by the graphs of the equations. z =…

A:

Q: Solve the initial value problem. y"= x¹, y(1) = −4, y′(1)= 4 y

A: Given differential equation:- y''=x4 ,y1=-4,y'1=4

Q: Problem 11. Find a parametrization of the circle with radius 3 centered at (0,-2, 1) in the plane z…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: (a) Find a simplified form of the difference quotient and (b) complete the following table. f(x)=x²…

A:

Q: True or False? True False Explain your response. Equivalent linear systems have the same solution…

A: True

Q: 20 s(s² +2s+5) 4 As + B + s (s² +2s+5) 20= 4(s² + 2s + 5) + s(As + B) S: 0= 4(2) + (B) B = -8 s²: 0=…

A:

Q: Solve the initial value problem. y'=tan(x), y(7) = 3 Y

A: Given initial value problemy'=tanx, yπ4=3

Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 3 − 3…

A:

Q: When a species of pigs is introduced onto an island, its population increases 15% each year. This…

A:

Q: The conversion factor used to convert 55.6 km to miles is ► View Available Hint(s) O 1 km 1.61 miles…

A: Given query is to find the conversion factor.

Q: Consider the piece-wise defined function below. J11 + sin(TTX), 10 X - 10 X+1' f(x) = (a) Find f(5)…

A:

Q: For the following function, make a table of slopes of secant lines and make a conjecture about the…

A: Given f( x ) = 7cosxat point x = π2

Q: Find the area of the region between the graphs of f(x) = 5x + 8 and g(x) (Use symbolic notation and…

A: Given equations f( x ) = 5x + 8 g( x ) = x2+ 2x + 2 interval [ 0 , 2 ]

Q: 30. z = -6xe

A: A detailed solution is given below.

Q: 2. Evaluate the following analytically: -5 (a) lim x8+ x 8 (b) lim (7x7 - 4x³ + 2x - 9) 8118 (c) lim…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Use the definition of the derivative to find the derivative of the function f(x) = 13x². Then find…

A:

Q: Use sigma notation to write the sum. [s - (‡)] + [∞ - (3) ] + … + [s - (3-)] 6

A:

Q: Write an equation whose graph could be the surface shown. 1 Z= X ZA

A: see below the answer and explanation

Q: dr dV Here is a graph of = dt dt where 1) What is the meaning of lim, d 4πr constant rate of the…

A:

Q: Find the area of the region that lies inside both curves. r = 4 + cos(?),    r = 4 − cos(?)

A:

Q: f(t) = {sind, t2 0, (sint, 0≤ t ≤ 2

A: A detailed solution is given below.

Q: F(s) = 45+5 (S-1)²(s+3)

A: Topic = Laplace Transform

Q: Can someone find a limit at a location where there is a hole in a graph, such as where a point has…

A:

Q: QUESTION 3. h(x,y)=2xy+3x2+4x3y2+8 What is the value of ∂h(x,y)∂y when x = -2.6 and y =…

A: h(x,y)=2xy+3x2+4x3y2+8when x=-2.6  and y=0.8∂xn∂x=nxn-1∂constant∂x=0

Q: a) The voltage, Vc in a capacitor is given by: Vc = 1/1(t)dt where C is the capacitance in Farads…

A: Given: The voltage, Vc in a capacitor is given by:Vc=1C∫I(t)dtwhere C is the capacitance in Farads…

Q: For any integer n > 1 find, Hint: Substitute x + √x² + 1 = = U 1 So " (x + √x² +1)″

A:

Q: x²-3y² 2xy . Show that the given equation is homogeneous . Solve the differential equation. 0. G dx

A:

Q: An object is thrown upward at a speed of 191 feet per second by a machine from a height of 7 feet…

A: Solution: 1) When will the height be h(t) = 132 h(t)=-16t2+191t+7

Q: Write the equation in the form (x-h)²+(y-k)²=c. Then, if the equation represents a circle, identify…

A:

Q: + 66 **** If we changed the 6 to a 4 in the equation, what would happen to the graph of the…

A:

Q: Find each of the following limits. lim e-4t t-0 t² lim t-o sin²(t) lim tan(5t) t→0 Find the limit of…

A: Given that a limit problem and we solve this proble by using general property of limit.       Here i…

Q: Let f(x) lim x → 5- lim x → 5 + = lim x → 5 (4- x Use a graph to determine the following limits.…

A:

Q: Find the limit. 1) lim x-4/lnx x-0+

A:

Q: The graph shows how immigration (in thousands) to a large country has varied over the past century.…

A: We want to find the average rate of change in immigration from 1910 to 1960 Average rate of change =…

Q: Suppose a company has a revenue stream that can be modeled by R(t) = = -0.035t² +0.77t +0.1 millions…

A: We are asked to find the maximum revenue.

Q: A real estate office handles an apartment complex with 50 units. When the rent per unit is $580 per…

A: Given: A real estate office handles an apartment complex with 50 units. When the rent per unit is…

Q: 3, 0≤t≤1 f(t)=3-4t, 1 ≤ t ≤ 3 -t², t≥ 3 = {3-

A:

Q: An inverted cone of top radius 5ft and depth of 6ft is continuously being filled with water at a…

A: An inverted cone of top radius 5 ft and depth of 6 ft is continuously being filled with water at a…

Q: Question 2 Answer the following parts. (a) Write down a formula for the amount of money you would…

A: Question 2 Answer the following parts.   (a) Write down a formula for the amount of money you would…

Q: The 2000 population of Jacksonville, FL was 736,000 and was increasing at a rate of 1.49% each year.…

A:

Q: Solve the initial value problem for r as a vector function of t. dr Differential equation: Initial…

A:

Q: Find an equation of the sphere with center C(3, 4, 5) that passes through the point A(1, 3, 3).

A: Question - Find an equation of the sphere with center C(3, 4, 5) that passes through the point A(1,…

Q: Find the length of a circle x^2 + y^2 = r^2.

A:

Q: Evaluate the limit: 3x lim x →0 √2x+64-8

A: On solving this we will get

Q: The given table lists the distances (in megaparsecs where 1 megaparsec 3.1×10¹⁹ km) and velocities…

A:

Q: Find the volume of the following solids. The base of a solid is the region between the curve y =…

A: Given:the base of the solid is the region between the curve y=2sinx and theinterval 0,π.

Q: 28. k(x, y) = = -7x 2x + 3y

A: Given;  K(x,y)=-7x/(2x+3y).

Q: Find the volume of the solid by rotating the region bounded by the given curves about the specified…

A:

Q: The first-order differential equation y = y(1-y) ¶ has a stable equilibrium at y=0. has an unstable…

A: For the autonomus differential equation dydt=f(y)we say that equilibrium solution y0 isStable if all…