121 121 suppose that Σα; = -13 and Σ b; = 23. Compute the sum. i=1 i=1 121 Σ ( – 28α; - 2b;) i=1

Q: 2.2 Find the integral (and leave answer in simplified form) a) √x(x ² + 1)² dx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: onsider f(x)=x2+- (a) What value of b makes this f(x) have a local minimum at x = -2? (b) What value…

A:

Q: Differentiate implicitly to find dy/dx. Then find the slope of the curve at the given point.…

A: The given equation is; y2 -x3 =22; (3,-7)

Q: Consider the following table, and assume that f(x) and g(x) are differentiable functions with values…

A:

Q: 2 16 dx X 3 ln 2

A: To determine whether the following statement is true or false.∫216dxx=3 ln 2

Q: Express the polar coordinates R3 in Cartesian coordinates. What is the point in rectangular…

A:

Q: Give a word problem regarding related rates: algebraic functions Show diagrams if necessary

A: Give a word problem regarding related rates: algebraic functions Show diagrams if necessary

Q: Find the equation of the quadratic function fwhose graph is shown below. 10. (-2,7) (-3,4) 5 f(x) =…

A: as shown parabola opens downward so standard equation y = -a( x - h )2 + k

Q: soluti 4. Find

A:

Q: If where f(x) = c is a real number, then which statements are true? Select all that apply. O f'(x)=0…

A:

Q: a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write. the…

A:

Q: 22° 14 0807 C

A:

Q: Consider a cone of height h radius r = = 4. Let the cone be oriented so that the base sits on the…

A: Given that:- Height of cone 12  and radius of cone 4

Q: Solve the following differential equation (find the general solution) using the method of "reduction…

A: Please see the below picture for detailed solution.

Q: In the function f(x), find the value of c that satisfies the Mean Value Theorem f(x) = -x³+4x² - 3,…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: lim X10 Select the correct choice below and, if necessary, fill in the answer box to complete your…

A:

Q: For the sequence defined by: a₁ = 3 an+1 = Find: a2 = a3 a4 - - 5 an +2

A:

Q: 18. 0 dy de 2y = 0³ sec 0 tan 0, 0>0, y(π/3) = 2

A:

Q: Consider the following table x f(x) g(x) f'(x) g'(x) 02 5 02 11 -2 3 0 24 4 1 -1 33 -3 2 3 What is…

A: Given query is to find indicated derivative.

Q: = Find the volume of the parallelepiped determined by the vectors a c = (2, 3, 1). Volume =…

A:

Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

A:

Q: Determine the following using the graph off provided below. If the value is infinite, specify ∞ or…

A:

Q: 3 06 02 O The function on the graph above it is not continuous at x = 4 N -2 4 -6 -8

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

Q: 3 36. Evaluate cos 20, given cos 0: = 5 sin = 4 5 and 37. Evaluate sin 20, given cos 0 and 4 5 sin =

A:

Q: Find the equations of the tangent and normal lines at a specified point.

A: equation of the tangent and normal line to fx=x2+3x+1, at x=0, and 4

Q: The cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers…

A:

Q: * 5. Evaluate x = t² [(z)dx (z)dx + (x)dy + (y)dz C given by y = t³ for 0≤t≤1 z = t²

A:

Q: In Exercises 7-10, write an equivalent first-order differential equation and initial condition for…

A:

Q: Given the derivative of a continuous function, f'(x) = -16+64, if each of the critical points and…

A:

Q: A boat on the ocean is 3 mi from the nearest point on a straight shoreline; that point is 14 mi from…

A:

Q: Given the vectors u =−8i−3jand v =9i+5j, find the following: u + v =    u - v =    5u +3v =…

A: Given: u=-8i-3j , v=9i+5j To find: u+v , u-v, 5u+3v, 7v-8u

Q: Find the value or values of c that satisfy the equation f(x)=2x² + 5x - 3, [-1,2] f(b)-f(a) b-a =…

A:

Q: The position of an object moving along a line is given by the function s(t) = − 2t² + 6t. Find the…

A:

Q: 7. For the graph of y=f(x) shown to the right, find the absolute minimum and the absolute maximum…

A:

Q: An object was left in a room of unknown surrounding temperature. The temperature of the object was…

A:

Q: Find the area bounded by the x-axis and the graph of f(x) = -²+1 from=0 to € = 1. Simplify your…

A:

Q: A triangle is bounded by the lines y = x, y = -x, and y = 1   When setting up an intergral to find…

A: Please see the below picture for detailed solution.

Q: 3. Find f'(x) for f(x) = 3x-4 2x+3

A:

Q: i) y" + 4y' +2y=sin(2x)sec(x)

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2200 yd…

A: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2200 yd…

Q: Let g(x) = [*r(1) = = = f(t) dt, where f is the function whose graph is shown. = y 6 + 2 (a)…

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

Q: Use l'Hôpital's Rule to find the following limit. sin (x)-x lim X-0 4x³ 3 sin (x) - X lim 3 X-0 4x =…

A: By using L'Hospital's Rule to find the following limit.limx→0 sinx-x4x3

Q: Evaluate the surface integral 3 z do, S where S is the portion of the plane x + 2y + z = 2 lying in…

A:

Q: 4. Does the series Σn=2 (-1)" √n converge? Why?

A:

Q: 2 integral ³√²-60 6dx. Evaluate the integral [x³√x²-6dx=

A: NOTE: Refresh your page if you can't see any equations. . substitute  take a square on both sides

Q: The region below is bounded by y = 3√, y = 0 and x = 4 8 7 6 5 4 3 2 1 -1 -2 3 5 6 7 8 This region…

A:

Q: The polar coordinates of a point are given. Plot the point. (4, 5) -4 -2 л/2 4 R/2 2 2 2 4 Find the…

A: Here is the solution:

Q: Use the properties of logarithms to write the following expression as a single logarithm: Int+7lnr –…

A:

Q: Find the directional derivative of f(x, y) = 2x+6y at the point (6, 5) in the direction 0 - 1T 3…

A:

Q: Let f(x) = 8x + (2, 23) is given by y = m = 28 . Then the equation of the tangent line to the graph…

A: GivenThe equation of curve is f(x)=8x+28x2 We are required to find the equation of tangent to the…