The fourteenth value of a geometric progression (GP) is 45. Determine the first value of the GP. O a. 45/r-13 O b. 45r-13 O c. 45r13

Q: In long division, you know it is time to stop dividing when the degree of the remainder is less than…

A: Find statement is true or false

Q: 18) A sports company has the following production function for a certain product, where p(x,y) is…

A: Given: p(x,y)=2000x45y15wherep(x,y) is the number of units produced with x is the units of labour…

Q: Prove that the linear function f(x) = ax+b is continuous.

A: To prove that the given linear function is continuous.

Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

A: As per guidelines we support only one question in one request. kindly repost next question in next…

Q: A disease spreads through a population. The number of cases t days after the start of the epidemic…

A: The general form of an exponential growth function is  N(x) = A0 e rt  Where  N0 - Initial value…

Q: Consider a function f(x, y) at the point (6, 1). At that point the function has directional…

A:

Q: h(x) = px³ + 4px + 1, where p and q are constants. Given that h(-1)=-41 and h'(-1)=67, find the…

A: h( x ) = px3 + 4px + qxh( -1 ) = -41 h'( -1 ) = 67

Q: part d is wrong

A:

Q: 4. (a) Find the second derivative of the function f(x) = e-x². (b) Use the second derivative to find…

A: To find out the second derivative of the function, inflection points, and maxima and minima.

Q: Define exponentiation in your own words. What is it?  What does it mean to raise a number to an…

A: Define exponentiation and give example

Q: Give the equivalent exact xy-coordinates of (-2, 5pi/3)

A:

Q: f(t) = 90 - 15 log10(t+1), Osts 12 where t is the time (in months). (a) Use a graphing utility to…

A: To solve the following problem: According to our company's guidelines I can only answer first three…

Q: Consider the function fand its derivative below: f(x) = 2√x-5-(x²-10x + 5) and f'(x) = 5(x-7)(x-3)…

A: The critical point is the point where the derivative is zero or undefined and the function is…

Q: On a day when the sun passes directly overhead at noon, a 6-ft-tall man casts a shadow of length 6 -…

A: *Note – As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly…

Q: Find the value of f(7) when 7 1 cost - 2 sin 3 3 f'(t) = and f (1) (7) = 6. 2 3

A: f'(t)=73cos(13t)-2sin(23t)given  f(π2)=6

Q: If limx→.3[x³ + f(x)] = -29, use the Rules of Limits to evaluate limx→.3[36x^² + f(x)- 3x]. O a. 11…

A: limx→-3x3+fx=-29

Q: •√√x 2 0 x² +1 -dzdydx

A:

Q: Given ((~7) - (x²134²) find critical points 1-x² - y²

A: Take the partial derivative with respect to x and y separately then equate both of them to zero and…

Q: From 2000 to 2007, the mean household income in the United States rose by an average of…

A: The mean household income in the united states rose by an average of approximately $1500 per year..…

Q: 11. [-/5.55 Points] DETAILS Find the future value if $9000 is invested for 10 years at 12%…

A:

Q: Find the interval of convergence of the power series

A:

Q: (3) Find the critical points of the function ƒ(x) = − x³ + 27x + 3, find the open intervals on which…

A: To find the critical points of the function f(x) = - x^3 + 27x + 3, we first take the derivative of…

Q: 3. By changing the order of integration, evaluate •ffer² dydx

A:

Q: Use synthetic division to divide 5x2-25x-3. The last row of synthetic division is: X-4

A:

Q: nearest

A: Equation of a line joining points x1,y1,x2,y2 is given by y-y1=y2-y1x2-x1x-x1.

Q: Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 6z) k C is the line segment from (1, 0, −3)…

A:

Q: Find a general solution to the given equation. y""-7y"+11y'-5y = 9e + sinx Write a general solution…

A:

Q: Use p(x) = In(x2 + x + 7) to answer the questions below. (a) Find p'(x) = (b) Find the equation of…

A:

Q: If a force of 24 N stretches a spring 0.2 m beyond its natural length, how much work does it take to…

A: The force required to stretch the spring 0.2m beyond its natural length is 24 N. To determine: The…

Q: Find the indicial equation and the exponents for the specified singularity of the given differential…

A: We have given a differential equation.

Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A:

Q: Use L'Hôpital's rule 4. lim x csc x x→0

A: limx→0xcscx

Q: Use Theorem 2.1.2 to find the slope of the tangent line of f-1 at x = -1. Given f(x) = -2 + 4x/x + 3…

A:

Q: Use L'Hôpital's rule 2. lim x →0 1 1 (1+x) ²³ - (1-x) ³² 1 1 (1 + x)3 - (1 − x)³

A:

Q: a. The two-dimensional curl is (Type an exact answer.) b. Select the correct choice below and fill…

A:

Q: 2. Find the inverse transforms of these expressions. You may need Partial Fractions or other…

A: To find

Q: 1 Carefully show all work and circle your answer. (a) Use l'Hospital's rule to find lim xsin(π/x).…

A:

Q: Find domain, critical values, inflection points, asymp- totes and symmetries of the function y = e²…

A: .

Q: The monthly sales of a certain widget are expected to increase at a rate of S'(t) =   2et   3 + et…

A: The monthly sales of a certain widget are expected to increase at a rate of  S't=2et3+et widgets per…

Q: 66. 2 3 e4t-3 dt

A:

Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

A: Given : y=11-x x=5 to 8 y=0 revolution about y-axis

Q: The function f is continuous for all real numbers and has first derivative function given below.…

A: to find out the critical points, sign of first derivaticve on intervals, local maximum, minimum.

Q: Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius…

A: We need to find the volume of the largest right circular cylinder that can be inscribed in a sphere…

Q: Determine the end behavior of f(x) = 2x³+x²-82-4 ²-3x+2

A:

Q: 29. f(x)= = ex+1 +x 2ex - 1

A:

Q: Find the derivative. tan x y=2x-3 2 dx 蚊ě dy (2x-3)2 dy sec2x - 2tan x (2x-3)2 116 dx (2x-3)sec x…

A: y=tanx2x-3formula used (i)  d dx(xn)=nxn-1(ii)  d dx(tanx)=sec2x(iii)  d dx(ab)=b×d dx(a)-a×d…

Q: dy Find and dx dy dx d²y dx² || dx² x = t² + 5, y = et - 5 et d²y 2t et - et 27³ Find the values of…

A:

Q: A player hit a serve in a racket sport that was clocked at 132 mph. How much work did she have to do…

A:

Q: 10. Let B = 4 -2 -3 0 من 5 (a) Compute BBT and BTB. (b) Explain why it is always possible to…

A:

Q: Consider the following solid. Write a triple integral that can be evaluated to find the volume V of…

A: The given equation of tetrahedron:7x+y+z=3