The base of a rectangular box, open at the top, is to be three times as long as it is wide. Find the dimensions of the box with minimal surface area if the volume of the box is to be 2250 cubic inches.

Q: Find the derivative of the function g(x) = (3x² + 3x)e" = (æ),6

A:

Q: Solve the I.V.P: dy 1 = 6y°x; y (1) = dx 21 1 y = 24+3z2 1 3z2-24 1 y = 24-3z 1 24-3z? నా నా

A: To find solution of IVP

Q: (ysin x+xy cos x)dx+(xsin x+1)dy = 0 Ans. xy sin x+ y = c

A:

Q: /3 n" +n + 10 8WE

A:

Q: An individual is given a dose of Q units of a certain drug. the amount that remains in the…

A:

Q: Find the coefficient a of the term in the expansion of the binomial. Binomial Term (3x-y)^10 ax^2y^8

A: Binomial expansion:(a+b)n =nk ak bn-kfor: (3x-y)10: a=3x, b=-ya x2y8:Third term:k=2:(102) (3x)2…

Q: At which point(s) does the graph of  y= e((x3-2x2+3x)/(x)) have a horizontal tangent line?

A:

Q: Hiw/

A:

Q: The demand function for a particular pair of sunglasses is p = 135 – 0.095q. (a) If the sunglasses…

A: The given demand function for a particular pair of sunglasses is: p=135-0.095q...(1) where q is the…

Q: Consider the function Z = 2x²(1 – e-y) where x and y are given to be 1 and In 1 respectively. Find…

A:

Q: 4. dy - (x-y+ 1)'dx = 0

A:

Q: A hot air balloon sing vertically is tracked by an observer located 3 miles from the lift-off point.…

A: let the height at that moment is h miles.

Q: dz at If z = 3xy, x = 2t, y = 1 – t then dt - - t = 3 is: Select one: -27 -29 -28 O None of them O…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.…

Q: 5. у 6. уд 4+ y - 8x /y =x y- + 2| x= 3 4 3- = x i 2 3 2. 2. 4. 3. 2.

A: Note:- As per your demand we solve question 5 and 6 for you  Given problems:- use the method of…

Q: Write out the first four terms of the Maclaurin series of f if f(0) = 2, f'(0) = 3, f"(0) = 6, f"(0)…

A: Write out the first four terms of the Maclaurin series of f

Q: Megan wants to enclose a rectangular field with five internal partitions as shown. If the area of…

A:

Q: 5. For a vcctor Á written in spherical coordinates, A = A,f + A,® + AøØ, the spherical coordinate…

A: The answer is in below steps.

Q: Let f(r) = x³ on [0, 1] and let Pn be the arithmetic partition that splits [0, 1] into n equal…

A: Given

Q: Integrate the following:  use the U-substitution. ∫ (x2+5x)dx/4√x+9

A: Given problem:- Integrate the following:    use the U-substitution.   ∫ (x2 +5x)dx/ 4√x+9

Q: (a) What does the equation x² + y´ = 1 represent as a curve in R? (b) What does it represent as a…

A:

Q: The series > cos" (2) is divergent. n=1 This statement is true by the test for divergence. This…

A:

Q: 1. Let Ā = (-1,2, 3) and B = (4,–3, 1). Find the following. c. [2Ã] – |3Ē| d. [2Ã + B|B a. JĀĪĒ –…

A:

Q: Can you find the next term in the following sequences? 1. 7,7,7,7,7,... 2. 3, –3,3,–3,3,.. 3. 1,5,2,…

A: Since this is the multiple subpart question, according to the Bartleby Answering rule, only first…

Q: Consider the function f(x) = 12x + 75x 120x + 3. f(x) has inflection points at (reading from left to…

A: The given function is: f(x)=12x5+75x4-120x3+3 Now, the derivatives of the functions are:…

Q: 16) If E an converges, then cos(am) diverges. n=1 n=1 a) True b) False

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: The functiong is defined as follows for the domain given. g (x) = 2x-1, domain = {-3, –2, 1, 5}…

A:

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Given

Q: 54) Which of the following series converge? n2 + 2 a) Σ п3 — п +5 n2 + 2 b) L n5 -n+5 п5 — п n=1 00…

A:

Q: (x + 1)³sinx dx x+1)° cosx+3 (x + 1)2 sin x-6 (x + 1)cosx-6 sinx+ C | (x + 1) cos x 3 (x + 1)2 sin x…

A: Solving the problem by finding the integral by oarts method.

Q: |*| +1, {0, x = 0 1x-1, x >0

A:

Q: In Circle H, Segment RA is a diameter Theorem 100: Inscribed Quadrilateral Theorem Quadrilateral…

A: To prove Theorem 110:  If two chords are equidistant from the center of the circle,  then the two…

Q: Find a function of the form y A sin(kr) + C or y = A cos(ka) + C whose graph matches the function…

A: Given query is to find function finthe graph.

Q: Find the derivative of the following using General Rule. 7) y = vt3 8) f(x) = 6 + 5 1 9) y =-+ 2 x3…

A: We have to find derivative of Given function.

Q: Given the cost function for a product: C(q) = -0.00932q + 0.196q? + 1.43q + 36, at what level of…

A: Find your answer below

Q: if a person takes a prescribed dose of 5 mg of Valium, the amount of Valium in a persons bloodstream…

A: Here, the given function is: A(t)=5e-0.0144t is the amount of Valium in a persons bloodstream at…

Q: |(x + 1)°sinx dx -(x + 1)³ cos x + 3 (x + 1)² sin x – 6 (x + 1)cosx – 6 sinx + C (x + 1)³ cos x – 3…

A:

Q: 2. Find the directions cosines of AB. a. Ā = (-1,2,3) and B = (4, –3, 1) %3D

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = -5i + 24j – k v = 5i + j - k O…

A:

Q: Let 0 (in radians) be an acute angle in a right triangle and let z and y respectively, be the…

A: Question- Let 'theta'  (in radians) be an acute angle in a right triangle and let x and y…

Q: Given z = sin(1 - 2). x = 2 – ts and y = 2t – s - then calculate when t = -1 and s = -1. dt

A:

Q: (ii) Using the result of the derivative above and the fact that integration is the antiderivative…

A:

Q: Given the points A(-1, 2, 0), B(1, 0, 3) and C(1, 0, 2), find AB • AC x BC.

A:

Q: Suppose that it is given to you that f′(x)=(x+5)(10−x)(15−x) 1.The first inflection point (from the…

A:

Q: List all the asymptotes of the following function, then graph the function. 5x f(x) = x² -1 Choose…

A:

Q: St' sin(2t*)dt (sin(2t*) - 2t*cos (2t*)) + C (sin(2t*)-2t cos (2r*)) +C 14 1 (sin(2t*)-2t cos (2t*))…

A:

Q: Find the area bounded by the graphs of f(x)=x+2,g(x)=3x²+5 , x=-1 and x=1.

A:

Q: The sum of two positive numbers is 16. Find two numbers such that the sum of the squares is a…

A: Given problem:- The sum of two positive numbers is 16. Find two numbers such that the sum of the…

Q: 2x+5 (d)Using the method of Partial fractions find f dx x2-8x+7

A: Let's find.

Q: Evaluate the following equations using Reduction Formulas

A:

Q: Solve this q3 as soon as possible and not use p. Take (p=6) and solve this plz with p=6

A: Follow the procedure given below.