A poster is 2 with 210 in bottom of the in inches arca and is to to have Sides top, find that of an orco margins at the and 2 inch margins the exact dimensions I inch will give the largest printed

Q: Sketch the region enclosed by y = 5x and 9x². Find the area of the region. y =

A:

Q: Compute for • Y y = x³ sin √√√x + (√= + ¹ ) . . dy dx y = sec² (sec x) + tan² (tan x)

A:

Q: Compute the exact value of the series: n=0 (-2)" (3 3n+2

A:

Q: Find the derivative of the function. f'(x) = f(x) = (x³ - 4x)(2x² + 3x)

A:

Q: find the point y=5x origin + 2 that js on the line closest to the

A:

Q: Identify the domain and range of each. Then ske 4) y=log (x-1)+5 $

A:

Q: ind a vector a with representation given by the directed line segment AB.

A:

Q: Find a + b, 2a + 3b, lal, and la - bl. a = i +3j - 4k, b = -3i -j + 6k a+b= 2a + 3b = |a| = |a - b|…

A: Given vectors  a = i + 3j - 4kb = -3i - j + 6k

Q: (6) (a) Use three conditions of continuity to show that f(x)=√ is continuous over (7, ∞0). (b) What…

A:

Q: Evaluate the limit. lim f(x), f(x) = O-1 0 3 0-5 0-9 -x² - 4x4, -2, x‡ -1 x = -1

A: If limx→a-fx=limx→a+fx=k then  limx→afx=k

Q: give 3. Let A = {x Rx # 0} and define f: A → R by f(x) = . Is f one-to-one? Is fonto? Prove or for…

A:

Q: A coat of paint of thickness 0.08 cm is to be applied uniformly to the faces of a cube of edge 29…

A:

Q: Find all functions f(t) with the following property. f'(t)=t f(t) = 3 4 ...

A:

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Thickness of paint = 0.08cm Diameter of hemispherical dome is 70 meter

Q: Find all the values of a such that the given series would converge. (−1)”11”” (√n + 3) ∞ n=1 The…

A:

Q: Find the equation of the tangent line (in slope-intercept form) at the point (1,-6) for the…

A: Given Equation of curve  f( x ) = x4 - 5x3 + 7x2 - 9  As we know that , slope of the tangent line is…

Q: Evaluate the limit. lim √-2x +3 x-4 O-2√19

A: Given expression of limit  limx→-4-2x+3

Q: 17. Find the slope of the curve below at the given points. Sketch the curve along with its tangent…

A: Tangent of a polar curve.

Q: Use the graph of the function f to solve the inequality. (a) (h) (x) « (1) f(x) (a) The solution set…

A: We are given a graph of f(x) and we need to find the values of x for which (a) f(x)>0 (b) f(x)≤0…

Q: Consider the non-exact differential equation (a) Find an integrating factor μ = μ(x) for the…

A:

Q: Find the second derivative of the function. e¯5x + e4x f"(x) = f(x) = e =

A:

Q: Calculate [2 (cos 3 + i sin 37)]³ and express the answer in 3π 2 2 simplest polar form with the…

A: To calculate 2cos3π2+i sin3π23 and to express the answer in simplest polar form with the argument…

Q: ds dt |₁=5 m/s

A: We know that the speed formula =sqrt((dx/dt)^2+(dy/dt)^2)

Q: Rewrite each equation in logarithmic form.

A: Given

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: The given vector field is: F(x, y, z)=y i+x j+z2 kTherefore:F(x, y, z)=y, x, z2The given surface…

Q: 1.5 a = 0.5 O -0.5 - 1.5 *b = 8 *C= 1 -202 0.5 0 -0.5 2 2 For r the above plot of the one sheeted…

A: (x/a)2+(y/b)2-(z/c)2=1

Q: A light plane attains an airspeed of 530 km/h. The pilot sets out for a destination 780 km due north…

A: a) The velocity of the plane relative to the ground is vpg→=v→pw + v→wThe wind velocity…

Q: 2x²x+5 (x − 3)(x² +1) J dr

A:

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A:

Q: y" 7. f(x, y, z) = 2x + 2y + z; x² + y² + z² = 9 f( X²

A: We have to find the maxima and minima of the given function using Lagrange's Multiplier. For this we…

Q: Find all values of x for which the series converges. (Enter your answer using interval notat n - 7…

A:

Q: In the homework problems, to find intervals of concavity from a function, you'd start by taking the…

A: given second derivative is f''(x)=2(5-4x)

Q: ********** ...... : O A fence 24 feet tall runs parallel to a tall building at a distance of 6 ft…

A:

Q: xdx √3-2x²-x² fixd 4

A:

Q: Determine whether the alternating series (-1)+1- n n=1 converges or diverges. 7n Choose the correct…

A:

Q: A solid is obtained by rotating the shaded region about the specified line. about the y-axis y…

A:

Q: [25-R] [CLO 28] The population of bacteria in a Petri dish at time t (measured in hours) is given by…

A: At t=0 there are 500 bacteria It triples every 3 hours.

Q: Suppose you use a tracking telescope to follow a rocket. Suppose you are also 2000 meters from the…

A:

Q: Solve the initial value problem. 12 dx dt + 2tx=t³ Int+ 1, The solution is x(t) = x(1) = 0

A: The differential equation is given by t2dxdt+2tx = t3lnt+1 Initial Condition is x1 = 0 To determine:…

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: The function is given by fx = x3-12x+4 To determine: The interval of increase and decrease.

Q: 1. a) Draw the secant line on the function f(x)=x² shown to represent the average rate of change…

A: (a) To draw the secant line on the function fx=x2 shown to represent  the average rate of change…

Q: Evaluate the integral. Show that the substitution x = √II sec(0) transforms I into cos(0) de, and…

A: I=∫dxx2x2-11 where, x=11secθ

Q: sin x = in(2x) = os(2x) = 5 and is in Quadrant I, then find sin(2x), cos(2x), and tan (2x)without…

A: Using trigonometric formulas

Q: 3) The amount of radioactive substance after x years can be modeled by N(x) = 12e-0043x (a) How long…

A: The amount of radioactive substance after x years can be modeled by  N=12e-0.0043x. (a) To determine…

Q: The amount of trash, in tons per year, produced by a town has been growing linearly, and is…

A: To solve the following

Q: 9. A demand curve is given by D(x) consumer surplus CS if p = $800. x-8 Compute the

A: The demand curve is given by Dx=450x-8

Q: Solve the following IVP: f'(x) = 4x - 1 given f(2)= 5

A: Given: f'(x)=4x-1, f(2)=5 We are required to: Solve the given differential equation.

Q: the derivative for:

A:

Q: . Use the Root Test to determine if the following series converges absolutely or diverges. 3 Σ n=1…

A: ∑n=1∞36n+7n

Q: Which of the these graphs is the graph of the following system of inequalities? y-x² sl x≤3y-9 A D C

A: The given system of inequalities are: y-x2≤1x≤3y-9