Prove or disprove: (a) A continuous function is an open function. (b) An open function is a continuous function. (c) A continuous function is a closed function. (d) A closed function is a continuous function. (e) An open function is a closed function. (f) A closed function is an open function

Q: Write the composite function in the form f(g(x)). y = e³V7 u = g(x) = y = f{u) = f(g(x)) Then find t...

A: To write the given function in composite form.

Q: Carol has dug a 15 by 20 foot hole for an inground pool. She wants to put a concrete patio all the w...

A:

Q: solve for the unknown terms by the method of: 100 100 100 100 100 4 -1 1 X1 X2 X3 X4 X5 -1 4 -1 1 -1...

A:

Q: Find the second derivative of y = Vx² +x-3 O 6/x O 12/x^5 O 6/x^2 O 12/x^3

A: dxndx =n.xn-1 dcdx =0 ; where, 'c' is an constant number.

Q: Evaluate the integral. Зп /4 6 sin (x) cos (x) dx Jn/2

A:

Q: x* y Evaluate lim ア→0

A:

Q: Compute the discriminant D(x, y) of the function. f(x, y) = x' + yt – 6x – 2y² + 1 (Express numbers ...

A:

Q: Using the Newton method evaluate 2x* + 24x3 + 61x2 – 16x + 1 = 0. Let the initial guess X, %3! 0.9

A:

Q: Please do 15 and 17

A:

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential oper...

A:

Q: A IImanulacturer belne ves thal the cost Tur „2 C(x) = -x² + 65x + 540 approximates the dollar cost ...

A: Given query is to find the number of unit that canbe produce to make profit.

Q: The radius of a cylinder is increasing at a constant rate of 3 meters per second, and the volume is ...

A: Given: drdt=3 msdVdt=1542 m3s We have to find dhdt when r=5 m and V=912 m3. Now,     V=πr2h⇒Vπr2=h⇒h...

Q: Using either permutation or combinations: Seven children are to be selected from a group of nine ch...

A:

Q: f(x) + x2[f(x)]³ = 10 and f(1) = 2, find f '(1). (1) = %3D

A: Please refer to the image below

Q: x+4, for x - 2 ... (A) Select the correct choice below and, if necessary, fill in the answer box to ...

A: Given information: The function is f(x)=x+4    for x<-2x+2  for x>-2 (a) To find:  limx→-2+f(x...

Q: Suppose an angle has a measure of 125 degrees. Another circle is centered at the vertex of the angl...

A: To find out the 1/360th of the circumference of circle and also the circumference of circle.

Q: et/2 f(t) attains its local or absolute minimum value(s). The minimum(s) are t =

A:

Q: Use a graphing utility to graph the function (include two full periods). Graph the corresponding rec...

A:

Q: Find the maximum value of f(x, y) = 2x? y + 5 on the unit circle. (Give an exact answer. Use symboli...

A: Given fx,y=2x2y3+5 on unit circle. We have to find maximum value.  

Q: The function P(x) = - 0.25a² + 150x – 4000 gives the profit when a units of a certain product are so...

A: Given:      P(x) = - 0.25 x2 + 150x - 4000

Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place...

A: The triangle has measures,     b=122, c=167, ∠B=44°

Q: dy dz 2. x+1 y+1 z+1

A:

Q: dx using the Trapezoid Rule, and n=6. Your answer should be to the tenths place (so of the form X.x)...

A:

Q: 3. Use partial fraction decomposition to find each integral. Show all your steps. x3-3x²+1 a) S *²-3...

A: First we divide the numerator by the denominator because the degree of the numerator is greater than...

Q: The cube root of 64a+/27b³ (There is a divide sign also.) 3164a+/27b3 (All is under the radial and i...

A: We need to simplify 64a427b33. Now,                 64a427b33=64a4327b33=4aa327b33=4aa33b

Q: 1. When is the exact method applicable? 2. When is separation of variables applicable? 3. Why is t...

A: We have to answer following Questions.

Q: 8) Determine whether the series is convergent or divergent. If it is convergent, find its sum. 1+ 2"...

A: Using root test for checking series is convergent or divergent.  And for finding sum of series , we ...

Q: Find each limit. Use - o or oo when appropriate. 4x -8 f(x) = - (x-8)4 (A) lim f(x) (B) lim f(x) (C)...

A: A)

Q: compute the value of the following improper integral. If it is divergent type D. dr (5x+1)

A: To compute the value of improper integral: I=∫1∞1(5x+1)2dx...(1)  

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the giv...

A:

Q: de 20. J 902 +120 +9

A:

Q: 3 115 Find the average value of the function f(x)=sin“ xcos°x over the interval -7,7|.

A:

Q: Cxe tyニ3 2. y"=? ニ

A: We will find the y" as shown below

Q: x – 6 f(x): x + 2 Find the interval(s) over which f(x) is increasing. f(x) is increasing for x in

A: Given query is to find the the interval where f(x) is increasing.

Q: ミ 42~x2 =ト 3ト %3D

A:

Q: If ep 7.e..p..t..compute dp/dt when p = t = 0.

A:

Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. X = Vt, y...

A:

Q: 3T 3Tt and <B< 2n. Find a) sin(a +B) b) cos(a+r) 4.Suppose sina = – and cosß = 13 where π<α<. 2 35

A:

Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B

A: Number of paths from A to B is choose 5 from 11 . That is using combination 11C5

Q: Problem 9. Let f(x) = x5 – 10xª + 33x³ – 42x2 + 32x – 32 a. Show how to apply the Rational Zeroes Th...

A: Let's find. 

Q: Let ​h(x)=​f(g(x)), where f and g are differentiable on their domains. If ​g(−1​)=2 and g′​(−1​)=7​,...

A:

Q: You are the Director of Infrastructure Management at the Nash Telecommunications Company. You are ta...

A:

Q: Refer to the following matrix and solve for the unknown terms by the method of: 4 -1 -1 4 100 X, X2 ...

A:

Q: Suppose g(s) = s2 + 4s +1. Find a value c in the interval [1, 11] such that g'(c) equals the average...

A:

Q: Find y" by implicit differentiation. бх2 + у2 %3D 3 y" =

A: Given that implicit function is 6x2+y2=3 To find: y''Solution:6x2+y2=3 Diffranciate w.r.t x12x+2ydyd...

Q: differentiałe 7x²-5xy" 3.

A: Consider  7x2-5xy3=-4

Q: Evaluate the following indefinite integral. Use C for any constant of integration. * 4x³ + 8x² + 75x...

A: A detailed solution is given below

Q: 1 Σ 16п2 — 8n — 3 n=1 n=]

A:

Q: If k is any real number, prove or disprove that sinkx 1. lim x-0 kx 1. 1-coskx 2. lim = 0. x+0 kx

A: Given query is to find prove the following limits.

Q: X-2 ppropriate. Felect the correct choice below and fill in any answer boxes in your choice. DA. lim...

A: Given query is to find indicated limit from the graph.