24. Express the distance d, from a point (x, y) on the graph of x+ y= 3 to the point (5, 8) as a function of SLO 21, 22

Q: 5. Determine the minimum value of f(x) 3x on the interval [-1,1] %3D

A: Let's find.

Q: Give Three Functions  of Wronskian ?

A: To Give: Wronskian of three functions.   Wronskian:

Q: 2- find the absolute max.and min. of the on the closed triangle function P : x* + y Plate bounded by…

A:

Q: 1 x, and the line perpendicular to 6 Find the area of a triangle bounded by the y axis, the line f…

A:

Q: (-х+а, х < —1 If f(x) = {x² + 5, –1 < x < 2 is continuous then х — b, х 2 2 a + b =?

A:

Q: what is the largest vertical distance between the graphs of the functions y=x^1/2 and y=x^2 in the…

A: To find the largest vertical distance between the graphs in the interval given

Q: Show that f(z) = 3z2 + 2z + 5 is analytic function.

A:

Q: Suppose that y is a function of x. Find if 2x°y 3 2y + 5. - -

A: We will find out the required value.

Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

A:

Q: Suppose that z = f(x, y) is implicitly defined as a function of x and y. Determine for 4x²z³ - 5yz²…

A:

Q: 1 If f(x,y,z)= of then x-y-3-

A:

Q: 4) Find the intervals where the following function is concave down: ππι y = 2sin² (2x) - 4x, x € -

A:

Q: (3) Show that the function is discontinuous on the specified interval. Vx2 - 64 if x < -8 if -8 <x <…

A: Note: According our answering guidelines we have to answer only one question (if there are multiple…

Q: What is the minimum value of x^2+100/x on a horizontal span of 1 to 5?

A: The given expression is x2+100x;1,2,3,4,5. Let us use the graph to analyze the above function for…

Q: Use the given graph of f(x) = /x to find a number 8 such that if Ix - 4| < 8 then Vx - 2 < 0.4 yA…

A: use limit definition for evaluating the value  of delta.

Q: What is the function f on (a, b) if for all x1, X2 in (a, b) when x, f(x2). is it decreasing or…

A: for all x1 , x2 in a,b when x1&lt;x2 then fx1&gt;fx2 claim- is it decreasing or increasing

Q: calculate the are between the curves f(x)=x^2 and g(x)=x^3 on the interval [-1,1]

A: Given,

Q: Find the absolute minimum value of f(x) = + 2 In x + 5 for - < x < 5.

A:

Q: 10. Find a function f such that f'(x) =r' and the line 4x - ļy = 3 is tangent to the graph of f. %3D

A:

Q: B)Is w = Zez analytical function or not?

A:

Q: a box with a square base and no top has a volume of 100cubic cm. If the material for the 4 sides…

A: Given that, the volume of the box is 100 cubic cm, the material cost for the 4 sides is 8 cents per…

Q: What is the largest vertical distance between the graphs of the functions y=√x and y=x 2 in the…

A:

Q: from x = 1 to x = 4 2

A:

Q: 5) Suppose that f is the function implicitly defined by the equation + tan ( In = evi near the point…

A: Given:       x+y4+ Tanin xy = ey   →1    near the point ( 4, 4 ) eTo Determine: f is an increasing…

Q: (1, if x 2

A: Using the given piece wise function, we can plot it in given intervals.

Q: 8. Find the family of the curve whose slope at any point is and also the member which passes through…

A:

Q: 6. Find the length of the curve given by the graph of the function f(x) = x/x, for x in [1,4].…

A:

Q: when that this 1x² + y² Shothathis sho (x, y) (0,0) and f(0,0) function is continous at (0,0)

A:

Q: Suppose that a one-to-one function f has tangent line y=5x+3 at the point . (1,8)Evaluate (f-1)'8

A:

Q: 5. * y = ( In æ)²

A:

Q: Suppose that f(x,y,z)=x^2yz−xyz^3 is a function of three variables.

A:

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)5 on the interval [0, 4]? Justify.

A: we will see how to proceed

Q: 6. Prove if the following function is differentiable y2 = (arctanx + 1)°*

A:

Q: Find the slope of the line tangent to the graph of the relation (5x - 34e)(y +5e) = e(x - 10e) at…

A: The given relation is, 5x-34e(y+5e)=e(x-10e) taking ln both sides,

Q: 4. Show the function f(2)=21m(z) is differentiable or not differentiable at any points.

A:

Q: GRuen that the divectional deivative of f(x,4,2) out the point (3,-2,1) in the divection of a=…

A: Given a→=2i^−j^−2k^ and directional derivative of fx,y,z at the point 3,-2,1 in the direction…

Q: The rate at which the total average number of COVID cases is increasing at x=10 tents and dxdt=1…

A:

Q: 5, what is f'(x)?

A:

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)3 on the interval [0, 4]? Justify.

A: Check differentiability at x=2

Q: 1) Consider the end behavior description below. • as x -, fx) - • as x, fe)-- Which function…

A: We need to select a function for which 1. As x→-∞, f(x)→∞ and 2. As x→∞, f(x)→-∞

Q: 9. Find the family of the curve whose slope at any point is √x + √√x and also the member which…

A:

Q: 5. Find three relation from {1, 2} to {6, 7} that are NOT functions.

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What is the value (i.e. what do we learn) from using the Wronskian on a set of functions?

A: Let F = { f1, f2, f3, ...fn} be the set of functions. 1. If W(f1, f2, f3,...fn) =0 Then we say…

Q: If the line y = 2 is the horizontal asymptote of the curve y = f(x), then /(2) is undefined. Select…

A: To find whether given statement is true or false.

Q: Suppose that the function f(x) is concave down on the interval (2,5). Can conclude that the function…

A:

Q: What is the point on the curve r(x)=x^2+6 that is closest to the point (3,6)? Enter your answer as…

A:

Q: Consider the function defined on the indicated interval. f(x) = 2x² – 4x – 6, [–1,5] %3D - Find the…

A:

Q: 13. Find a function rule for a function that has x-intercepts of (0, 2) and (0, 8) and a y-intercept…

A:

Q: Show that f(z) = 3z² + 2z+5 is analytic function.

A: Given