Find the slope of the graph of the function f(x)=√√2x at (18,6). Then find an equation of the line tangent to the graph at that point.

Q: d² + a²y = 0 y dt²

A:

Q: How many milliliters of each of a 44% acid solution and a 30% acid solution should be mixed to…

A:

Q: Find the third derivative of f(x) = = 15x +1.

A: Solve the third derivative of the given function

Q: . Find the centroid of the plane region bounded by the graphs y = 2³ and 2 = y².

A:

Q: The limit at infinity lim f(x) = L means that for any e > 0, there exists N>0 such that f(x)-L N.…

A:

Q: fxex² sin x² dx

A: Given: ∫xex2sin(x2)dx

Q: According to Newton's law of cooling, the rate at which an object's temperature changes is directly…

A:

Q: Determine if the following series is convergent or divergent. η2 * 7n Σ (n + 1)! n=0

A:

Q: Find the solution to  x' = y - x + t y' = y if x(0) = 2 and y(0) = 4 x(t) = ? y(t) = ?

A:

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) 8…

A:

Q: Let f(x, y) = (x - xy²). In this problem, you will find the absolute maximum and minimum values of…

A: (a) To find critical points, we need to solve for the gradient of f(x, y) and set it equal to zero:…

Q: R/4 4. ST¹ x sin 2x dx

A: To Find : ∫0π4xsin2x dx

Q: 11) An elliptical riding path is to be built on a rectangular piece of property that measures 6 mi…

A:

Q: Find the second order Taylor polynomial for f at (5,3) given by: f(x,y)=√√x + 4y - 1.

A: Please see the below picture for detailed solution.

Q: 1. The graph of a function f is shown. Sketch the graph of f. A. B. C. D.

A:

Q: Table on the right shows the per capita consumption of ice cream and eggs for selected years since…

A: Given:

Q: 2√2x-x² 1. S S 0 0 5√√x² + y² dydx 2

A: Given integral:- ∫01∫02x-x25x2+y2dydx

Q: Santos wants to build a rectangular enclosure for his animals. One side of the pen will be against…

A: We need to find the dimensions that will maximize the area of the enclosure.

Q: Revenue and Marginal Revenue Functions) Suppose the unit price p in dostars for a uantity x demanded…

A: We need to find out the revenue function, the marginal revenue function and also the marginal…

Q: For the function f(x) = e2x + 4x3 defined for all x ∈ R. Show that there is an inverse function for…

A: An inverse of a function exists if it is both one-to-one and onto. Inverse of a function f is…

Q: 0.7t + 900 The function C(t) = for t 10 gives the 4t + 5 body concentration C(t), in parts per…

A: We need to find out the value to which concentration approaches as time t approaches to infinity and…

Q: Your monthly profit (in dollars) from selling magazines is given by P = 6x + 6x + 10 , where…

A: The solution is shown below-

Q: A pair of digits (a, b) is such that 4a5b32 is a multiple of 66, find a+b.

A: Please see the below picture for detailed solution.

Q: Use a graphing calculator to find a linear regression model for the men's 100-meter freestyle data…

A: Solution Regression model for men

Q: Determine the value of K so the planes intersect in a line. x + y + z = 0 x + 2y+ 3z = 0 x + 4y…

A: I have a pendard the formula used in the solution part and the concept also mentioned there

Q: Find the Fourier series for the following. f(t) = |2t| -π<t<π

A: We need to find the fourier Series of function f(t)= 2t on the interval -π&lt;t&lt;π

Q: find the coordinates (x and y) where the tangent has a gradient (slope) of 11 the equation of the…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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

Q: An advanced experimental rocket program is terminated after only 7 rockets were produced. The…

A: Here we have to choose the correct option.

Q: Suppose f is a function such that f ′ is continuous everywhere, and you know that f has critical…

A: Please see the below picture for detailed solution.

Q: Using the function y=1+2x/x graph the derivative and antiderivative so that the maximum value of the…

A: SOLUTION :-   Given, a function f(x) =(1+2x)x= (1x+2) To find the derivative of given function ,…

Q: Solve the system of linear equations. -x+4y+z= 9 x - 2y4z = 9 -2x - 3z = 14 O (-1, 3, 4) O (-1, 3,…

A:

Q: How many critical points does the function f(x) = 7sin2 (8x) have on the interval (0, π)? Provide…

A: Given that  a function f(x) = 7sin2(8x) and we find its critical points.     Here i attached the…

Q: Use series to approximate the definite integral to within the indicated accuracy: 0.7 sin(x³) dx,…

A: I have solved step by step in detail...go through the solution

Q: Find the derivative of the given function. (Remember to simplify the numerator of your answer, but…

A: z(t)=t2+5t+2t+7d dt(tn)=ntn-1d dt(ab)=b×dadt-a×dbdtb2

Q: (b) Find the derivatives of the following functions: (i) y=x√ (ii) y = (ii) y = (cos x)" T c) In a…

A:

Q: -en y=4x² + 5x, find dy dt when x= -1 and (Simplify your answer.) dx dt = 4,

A:

Q: e the linear inequality. Express the solution using interval notation. 2(8x1) 14x + 10

A: We will find the required.

Q: Find the global maximum and global minimum values of the function f(x)=x^3−6x^2−63x+7 over each of…

A:

Q: Two steps of the Gauss-Jordan elimination method are shown. Fill in the missing numbers. 11-14 95 60…

A:

Q: Find the minimum and maximum values of the function on the given interval by comparing values at the…

A:

Q: The velocity, v m/s, of a particle at time t seconds is given by v = t³ - 3t² + 4t - 4 Show that the…

A: Given query is to show that acceleration can not be less than 1.

Q: a trend that scientists attribute, at least in part, to global warming, a certain floating cap of…

A: Given query is to find rate of change of area.

Q: Let x = 2.99999.... (a) Is x 3 x = 3 O x < 3 and x = 3 O It cannot be determined. (b) Sum a…

A: Solution: Given data, x =2.999999....

Q: 78. GEOMETRY CONNECTION Part of the three- dimensional mathematical figure called the horn of…

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Which ordered pair represents the coordinates of point B?

A: There are four points A,B,C,D. We have to find coordinates for point B.

Q: Consider the function f(x)=x^3e^8x,−3≤x≤1 The absolute maximum value is = and this occurs at x…

A: Here we have to find the absolute extrema.

Q: dy = dx Use separation of variables to solve the differential equation condition y(1) = -2. (Hint:…

A:

Q: Consider the following. g(x) = 3x² + 39x11; g(x) = 193 With the function indicate whether an input…

A: Here is the solution:

Q: = = 2.3219andlog, y = 2.8074. Given log, a Evaluate log, a

A: