Consider the following equations. y = 0 x = -3 x = -1 Sketch the region bounded by the graphs of the equations. -6 f(x) O -4 6 4 2 -0 8 Find the area of the region. 2 6 -6 -4 8 6 4 2 2 4 6 -6 ***** O -4 -2 6 2 -6 O -4 -2 2 -4 -6 -8²

Q: solve differential equation y' + y = 2 cost

A: Given:differential equation To find:solution of differential equationThe first order differential…

Q: lim gW=-3 lim - / f(x) + 2/2 g(x) = 24 X->C |_ Jim f(x) = -32 X-7C

A:

Q: Problem 4: Find an equation of the parabola that has a focus at (3,11) and a vertex at (3,9):…

A: Parabola has a focus at (3,11) and a vertex at (3,9) Let the Equation of parabola be y=a(x−h)2+k

Q: x² + 8x + 5 x³ + 8x / dx

A:

Q: Use an appropriate Pythagorean identity to find the indicated value for an acute angle 0. Write your…

A:

Q: Commission A personal-computer salesperson receives a base salary of $971 per month and a commission…

A: The objective of the question is to calculate the monthly earnings of a salesperson given the…

Q: Consider the following graph of the function f. X-0 lim f(x) = X→0+ -3 -2 -1 4 3+ True False 2 - + 2…

A:

Q: Sx. √1-x dx

A: I=∫x1−xdxSubstitute 1−x=u2Using the power Ruleddxxn=nxn−1−dx=2ududx=−2udu

Q: Q2) Solve two of the following: 2 In 10 log10 -dx x A) S 2

A:

Q: Determine the absolute minimum value of the function f, shown below, on the interval [-9, 9]. -10 -9…

A: To determine the absolute minimum value of the following function  on the interval .

Q: Find equations of the spheres with center (3, -4, 6) that touch the following planes. (a) xy-plane…

A:

Q: dt √√3 3+t²

A: The given integral is 1/(3+t2), limit from √3 to 3.

Q: Mila conducted a survey of the most popular pets in her middle school. Of the 200 students surveyed,…

A: Total students= 200Students preferred dogs =70Students preferred reptiles =22Students preferred…

Q: Find the domain of the function. x-7 x+8 f(x) =

A:

Q: Given the function f(x) = x4 – 4x³ closed interval [2, 4]. - 5, determine the absolute maximum value…

A: Calculation for the critical points is as follows

Q: 6 4. Compute ₁-1 j=1

A: S=∑j=16j

Q: Directions: Show all work in a neat and organized manner. Be sure to use correct notation and use…

A:

Q: a) Graph the function f(x) = x² + 2x. b) Draw the tangent lines to the graph at the points whose…

A: Since you have posted multiple subparts question in this question and as per company guidelines i…

Q: Direction Fields Draw the direction field for the given differential equation. Based on the…

A: i) For the differential equation  the direction field will consist of vertical lines with positive…

Q: B: Find the derivative of each of the following function a) x² xy = cos y b) y = √/1-sin³ (5x)) - c)…

A:

Q: Find the equation of the plane that passes through the point (1, 1, 1) and is perpendicular to the…

A:

Q: 1 1 --------- B = y 0 1 x, y, z, w, and write down the matrices, A and B, with the values inputted.…

A:

Q: So Jo (sin x + (sin x +4)² dx 0

A:

Q: The continuous function g, consisting of two line segments and a parabola, is defined on the closed…

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: 3x + 2 S =dx x² + x 2

A:

Q: The graph of a function is given. 3 y 3 5 2 1 5 (a) Determine the net change between the indicated…

A:

Q: S' 12 (1-x)4 dx ∞ 1. 1272 dx + x² 2 2 1²(x - d dx (x - 1)4/5

A: The given integral 4) 5) 6)

Q: Q3) Solve two of the following: C) fe²x sin 2x dx

A:

Q: At which integer values of x is the graph of f in the next figure continuous? Differentiable?

A: A function f(x) is continuous if there are no breaks or holes in the graph of f(x).A function f(x)…

Q: Find two angles between 0° and 360° for the given condition. Express your answer in terms of…

A:

Q: The function fis defined by f(x) = 3x² - 4x + 2. The application of the Mean Value Theorem tof on…

A: The given function is, .Our task is to find the value of   where .

Q: Suppose that the rate of increase of a bighorn ram's horn is approximated by 0.42 x² - 3.97 x +…

A:

Q: O Find Vf, where f(x, y, z) = = e¯(ax+by+cz) with a, b, c some constants.

A: The objective of the question is to find the gradient vector of the function f(x, y, z) =…

Q: Write the sphere in standard form. (x-1 x² + y² +²2x+4y-4 = 16 )²+(y - 4 x)²+(z-2 )² = 25

A:

Q: e) lim x-0 sin 3x cot 5y x cot 4x

A: All the given limits have been marked except " e " . So we solve question "e" .

Q: t² - 2t - 3 2 8t + 15 36. t² 2 > 0

A:

Q: (1.) -|w4+1W ✓ 6 =dx 2 9 - 4x

A: Since you have asked multiple question is one window and as per guideline only one question is…

Q: во Q7. Find f'(x)when f(x) = √logx 1 O * 1 (logx)= xin(10) O O 1 1 (logx) * xin (10) (logx) 6* O…

A: Given Expression is as follows As we know that

Q: In formally proving that lim (x² – 8x) = − 16, let a > 0 be arbitrary. Determine & as a function of…

A:

Q: Problem 3: The parabola given by the equation y=3x2−18x+13 has its vertex at (h,k) for:

A: y=3x2−18x+13

Q: 59. P(x) = -2x³ - 14x² + 2x + 84

A:

Q: 2x + 7 4x2 20x + 25 -dx

A: Given Indefinite intebgral is as follows

Q: 38. The function f(x) = x³ + 3x² + 3x + 1 must have a least one real zero.

A:

Q: The dosage for a certain type of chemotherapy drug depends on several parameters of the particular…

A: The objective of the question is to derive the formulas for D and c, and then compute the derivative…

Q: A clothing business finds there is a linear relationship between the number of shirts, n, it can…

A: A clothing business finds there is a linear relationship between the number of shirts n and the…

Q: ↓↓ 2. Write the function in P(x) = a (x-h)² + k form. Report vertex of the parabola. P(x) = 2x² - 8x…

A:

Q: 1² - 21 I 2 1² + 3x - 10 (k) lim

A:

Q: Write an equation that expresses the following relationship. w varies inversely with the cube of u…

A: Given that the expressionw varies inversely with the cube of u we have to find the equation

Q: 5. Find dªy dx²: y=cscx csc x cotx csc r cot x csc x cot² x - csc x csc x cot² x + csc³ x

A:

Q: The graph below is the function f(x) -8-7-6-5-4-3-2 lim f(x)= 1→∞0 %7 6+ 16 5 A 3 2 H 23 5 64 -5 -6-…

A: The graph given below is the function .To find