Which of the following expresses 1-4+16-64 +256 in sigma notation? 5 Σ(-4)k-1 P k=1 Choose the correct answer below. Select all that apply. 5 □A. Σ(-4)k-1 k=1 4 4 b. Σ (-1)^(4)k k=0 Σ(-1)^(4)k 2 c. Σ (-1)+1(4)k+2 k= -2

Q: For what value of x is the following true? log(x + 11) = log x + log 11. Your answer is X =

A:

Q: x - 1 x² + 4x + 13 J dx

A: As per the guidelines we are only able to solve 1st question, and please upload the rest of the…

Q: Find a unit vector orthogonal to the vectors 5i + 9j + 4k and 4i + 9j + 9k with non-negative first…

A: To find a unit vector orthogonal to the vectors 5i+9j+4k and  4i+9j+9k with non-negative first…

Q: Find the average value of f(x, y) over the region R. f(x, y) = 6xy R: rectangle with vertices (0,…

A:

Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

A: Spherical Coordinates

Q: Find the extreme values of the function and where they occur. y=x²-3x² + 1 H This point OA. There…

A:

Q: How many one-to-one functions are there from the set A=(1,2,3,4,5) into the set B={1,2,3,4,5,6,7,8)?…

A:

Q: Problem Number 5 Determine the horizontal asymptote of f(x) = 3x-4 X

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Find the absolute maximum and minimum values of f (x, y) = x + y − xy on the set D. D is the closed…

A:

Q: (a) Use the Quotient Rule to differentiate the function tan(x)-1 sec(x) f'(x) = (b) Simplify the…

A: a. We have given function fx=tanx-1secx formulas are (i) d dx(ab)=b×d dx(a)-a×d dx(b)b2(ii)  d…

Q: A particle moves with a position function of r(t) = t Inti + t²j + te¯²tk. Find its velocity and…

A:

Q: Write a mathematical model for each of the following statements. Use k as the constant of variation.…

A: The statement is: y varies inversely as x To determine: the mathematical model for the given…

Q: A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at $9 the…

A:

Q: . Find the value of a so that the following function has a point of inflection at x=6 f(x) = ax³ -…

A:

Q: A differential equation is given as, (4y-e³x) dx +(4x+6) dy = 0 a) Identify M and N b) Then, show…

A:

Q: . lim e²x-1 X30 3x+4 sinx

A: given limit is of 00 indeterminate formso, apply the L'Hospital's rule to solve the limit

Q: Find the difference between the upper and lower estimates of the distance traveled at velocity f(t)…

A: velocity ft=30-t2interval 1≤t≤4subdivision =n=500

Q: Problem Number 15 Find any relative extrema and graph the function f given by f(x) = x³ + 3x² - 9x -…

A:

Q: Use implicit derivative to fine y' for the expression given below: yx - x = x² 2x-y Onone of the…

A:

Q: Convert r = 14 sin(0) to an equation in rectangular coordinates. (Use symbolic notation and…

A: We need to convert the given equation into rectangular coordinate form.

Q: b) The rectangles in the graph below illustrate a ? [0, π]. The value of this Riemann sum is ◆…

A:

Q: Let p=20-√√x and C(x) = 358 + 3x, where x is the number of garden hoses that can be sold at a price…

A:

Q: Find the arc lengths of the parametric function c(0) = (3 cos 0, -3 sin 0) over the interval [0, π].

A: we have given parametric function c(θ)=3cos θ, -3sin θ over the interval 0, π.

Q: Sketch the graph of a differentiable function y = f(x) through the point (1,1) if f'(1) = 0 and…

A: y = f(x)f'(1) = 0 PROPERTY OF DIFFERENTIAL FUNCTION if, f'(x) > 0     function is increasingif,…

Q: MATH PROBABILITY AND STATISTICS, PLEASE ANSWER JUST IN 10 MINUTES, NOT ANYMORE Find the sample…

A: Given data is : 6, 7, 2. We need to find the sample variance of the above sample.

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A:

Q: 4. An open box is to be made from a 16-inch by 30-inch piece of cardboard by cutting out squares of…

A: .

Q: Consider the function f(x) = xen ge (a) Determine all the critical number (s) of f(x) in [0.5,2].…

A: To solve the following

Q: The graph of the following parabola will be narrower than the base graph of the parabola and be…

A: we have given f(x)=-x22+9

Q: 5y = e²x = 4. y" - 4y' - 4y' + 5y CSC X 9. (D² - 2D + I)y = 35x³/2ex

A: As per company guidelines only one question is allowed to answer for multiple question posted.…

Q: For the following functions. a. use Equation 3.4 to find the slope of the tangent line man = f'(a),…

A: according to bartleby policy we do only first part of multiple questions  (11)    f(x)=3-4xwe know…

Q: What is the volume of the parallelepiped with sides 3i + 4j + 9k, 10j + 4k, and 2k? volume =

A:

Q: Find the directional derivative of the function f(x, y) = x³-y³ at the point (4,3), in the direction…

A:

Q: Given (1, 1) is a point on the base graph of f(x) = x5 and g(x) = -(x + 1)5 - 5, find where the…

A: Given: Point (1,1) is on the base graph f(x)=x5g(x)=-(x+1)5-5   We are required to find: Co…

Q: Evaluate the following limit: tan(4x + 4y¹) lim (z,y) →(0,0) 8x4 + 8y4 O O O O O 4 11 0 2 2 + 4x² -…

A:

Q: Problem Number 11 From a thin piece of cardboard 8 in. by 8 in., square corners are cut out so that…

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: For the following exercises, find f'(x) for each function. 107. f(x) = 5x³x+1 425 109. (x) = 8x4 +…

A:

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: Firstly we find local maxima or minima . secondly inflection point.

Q: Find the interval of convergence of (-3) -(x + 10)" (Use symbolic notation and fractions where…

A:

Q: Solve the following questions using ODEs. 1. x2y″ - 5xy′ + 9y =0

A: PLEASE NOTE:  According to our company guidelines we are directed to solve only one at a time .…

Q: Find T (t) and N (t) for the curve r(t) = ti + cosnt j + sinnt k.

A:

Q: The table below shows the velocity of an object (cm/sec) at each sec as it moves along a track for…

A: We need to find distance using Reimann sum.

Q: Given f(x, y) = 5x + xy¹ - 4y³, find fxx (x, y) = fry(x, y) =

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Set up a double integral to find the volume of the solid region bounded by the graphs of the…

A:

Q: Business: service Area. A restaurant supplier services the restaurants in a circular area in such a…

A:

Q: Convert from spherical to rectangular coordinates. (Use symbolic notation and fractions where…

A:

Q: Evaluate the indefinite integral. Use C as your arbitrary constant. 5√/x dx

A:

Q: Find the domain of the vector function r(t) = Domain: {t }

A:

Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the…

A: Given data : f(x)=1x Intervals given x = 1 and x = 5 To find an area for two and four rectangles.

Q: Let r(t) = Find 7'' (t) r'' (t) = < V V

A: