Determine the open intervals on which the graph is concave upward or concave downward. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) 11 x² + 3 f(x) = concave upward concave downward

Q: Evaluate the limit using the Basic Limit Laws and the limits limx→ex/q = cpla and limx→ck = k. (Use…

A: The given problem is solved below in detail.

Q: Consider the following functions. f(x) = 6 sin x g(x) = 6 cos 2x Esxst Sketch the region bounded by…

A: Given f(x)= 6 sin x g(x) = 6 cos(2x)  in the interval -π2≤x≤π6

Q: etermine the rule on the flow diagram 56 7 9 11 72 88

A: Concept: Flow diagram: An action sequence, system movements, and/or decision points are visualized…

Q: Find the four second-order partial derivatives. f(x,y) = 3x³y - 5xy +9y fxx (x,y)=[ fxy(x,y)= fyx…

A: Let us consider a function f(x,y) Then fxx=∂2f∂x2, fyy=∂2f∂y2, fxy=∂2f∂x∂y=∂2f∂y∂x=fyx

Q: Write the row vectors and the column vectors of the matrix. [#3] 4 0 (a) the row vectors ↓ 1 (b) the…

A: The objective of the question is determine the row and column vectors.

Q: c) (n+1)2

A: We will apply Ratio-Test for converge

Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and (0,3) 15…

A:

Q: If the angle of the moon is decreasing at 0.25 radian per hour, how fast is the shadow of a 150 ft…

A:

Q: Find the equation of the tangent line to the curve y = 8 sina at the point t ( 77, 4). The equation…

A: The curve y=8 sinx at the point π6,4

Q: =) y II 131 Olim x 1 z 1 0 -1 lim 2-1 x |x-1| |x-1| x - |x-1| lim z 1 x- - 1 -5 -1 DNE UND 0.9 -1…

A: c) Given,y=|x-1|x-1 now, limx→1-11-xx-1=limx→1-1(-1)=-1

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A:

Q: The particular solution of (2x+3)y'=y+ (2x+3) ¹/2 ; y ( − 1) = 0 using LDE is A B C D -2y=√√2x +3 In…

A: Please see the below picture for detailed solution.

Q: Solve the differential equation. y' - y = 3ex

A:

Q: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If…

A:

Q: Je [es cos (21)dt

A:

Q: dz 2 ē j ( W ± ¹ ) ( x (Z) e ³ (W+¹) Z dz 2 BO t AN Z 2dt = dz t = How did he get the value inside…

A: Multiply the term in power of exponential and then use am+n  = am * an Since, one term is constant…

Q: Evaluate the integral. *3 7 39+x² dx

A:

Q: Use the function f(x)= x 4 3.5 3.1 3.01 f(x) = lim f(x) = 6. 2-3- Based on ONLY the table of values…

A: Given f(x)=(x^2-9)/(x-3)

Q: Find the solution of the given initial value problem: y(t) = y" + y = sec(t), y(0) = 11, y'(0) = 5,…

A:

Q: A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the…

A: We can solve as follows

Q: The angle between 0 and 27 in radians that is coterminal with the angle 14 5 Tin radians is

A:

Q: dw Find using the appropriate Chain Rule for w = cos(4x−4y), where x = tº and y = 3. dt

A:

Q: olve the given differential equation. All solutions should be found. 3x² - 6y - y³ 6x + 3xy² dy dx…

A:

Q: Given f(x) = 5x³ + 7x + 7, write a limit representing the derivative of f(x) at x = −2. Provide your…

A:

Q: Find the general solution of the following differential equation. y" + 15y' + 56y = 0 NOTE: Use c₁…

A:

Q: You are planning to make an open rectangular box from a 31-in.-by-61-in piece of cardboard by…

A: First take a square of length x then make a box and find the volume in terms of box . And…

Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium 100 has been reduced…

A:

Q: f sin³ ycosydy

A: I have stated the used formulas in the solution

Q: 10 3x Find the derivative of f(x) = x¹0e³ª. f'(x)= =

A:

Q: Given H(jw) -(4+jw) 6+5jw-w² an rewrite as:- (jw+4) -+₁) 6+ (jw)² + 5jw (jw+ 4) (jw+3) (jw+2) (jw+3)…

A: Topic:- application of calculus

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A:

Q: O F5 F1 O F4 F-1- F3 F2 Some antiderivatives of a certain function are graphed here. Although there…

A:

Q: Given the lines 1₁ and 12; l₁ x = 1 + 3t, y = 26t, z = 7t - 3, 1₂: x=4=6-y=5—2 -8 3 5 (a) Show that…

A:

Q: Determine the principal P that must be invested at rate  r = 3 1 2%,  compounded monthly, so that…

A:

Q: calculus

A:

Q: 7. Use the method of Lagrange multipliers to find the volume of the largest rectangular box in the…

A: Given question :- Find the maximum volume of rectangular box that can be inscribed in this ellipse.…

Q: Use a graphing utility to approximate (to three decimal places) the solutions of the equation in the…

A: The value of the x for which the graph crosses the x-axis will be the solution of the equation.

Q: Find the surface area of a cylinder with a base radius of 2 in and a height of 6 in. Write your…

A: base radius = 2 in height = 6 in find the surface area of cylinder = ? surface area of cylinder = A…

Q: Use a parameterization to find the flux SSF. S plane x+y+z=5a that lies above the square 0≤x≤a,…

A: We have to find the flux

Q: The integrating factor of the LDE y'=x-2ycotx is A B с D sin²x sec²x csc²x cos²x

A:

Q: Use the method of undetermined coefficients to solve the initial value problem. Oy y = y= y = y = 3…

A:

Q: The auxiliary equit of the given diff- egnn is m²r² + 6m +8 = 0 2 m²+ ym + 2m +8=0 m (m+4) +2(m+y) =…

A:

Q: Test for convergence or divergence, using one of the tests listed below. Σ(²1-042) n+1 n = converges…

A:

Q: How to work out the break-even???

A:

Q: 11 7 Find Y y N 2x² + y² = 4 2

A:

Q: Let u =(3,-4) and v= (-1,-4). Express u+v in the form (a,b). u+v= (Simplify your answers.)

A: The objective of the question is evaluate the sum of given vectors .

Q: Use any method to solve the system. (If there is no solution, enter NO SOLUTION. If the system is…

A:

Q: Evaluate the limit using the Basic Limit Laws and the limits limx→ (Use symbolic notation and…

A:

Q: Examine the graph of (a) below, and find the values given below. If the limi below CH does not exist…

A:

Q: The following are differential equations except A y" - 2cosx=5 B C D dy x+y dx x-y y" - 2y +5=0…

A: We can find the equation which is not a differential equation as below.