Identify the locations of transition points on the interval [-pi,pi] for f(x)=2sin(x)+x.

Q: Evaluate the integral. (Use C for the constant of integration.) [√ 7 + x 7-X dx

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Q: Find: lim arctan x, e . In(4x)\ X

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Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = In(2 + sin(x)), 0≤x≤ 2π…

A: Given: To Find: To Find: To find the interval(s) on which  is concave up and concave down.To find…

Q: Initially 10 grams of salt are dissolved into 40 liters of water. Brine with concentration of salt 4…

A: Initially 10gm of salt are dissolved to 40lt of water. Brine with concentration of salt 4 gm per…

Q: The marginal profit of a product is given by P'(x) = 26 -0.079e0.5x dollars per item, where x is the…

A: Given:We are required to find:

Q: Q33. Solve the differential equation 5 xz (a) y3 = +c 5 (b) y³ = + c 1 x√x 5 (c) y³ = √x + c< 5 5…

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Q: 1. Use L'Hospital's rule to find the limit. x²+x-2 1 4(x² - 1) (a) lim (b) lim 2-1 x³ - 3x + 2 (x -…

A: (a)   if we put the x value then the equation become so we have to apply the L Hospital ruletake the…

Q: Let f(x) = e³x²(9x − 2). Compute f'(x). f'(x) =

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Q: Solve the given initial-value problem. y" + 4y' + 5y = 35e-4x, 35e-4x, y(x) = = y(0) y(0) = −6,…

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Q: The 3rd term of a geometric sequence is 56 and the 7th term is 896. Determine the 14th term.

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Q: (5x + 3) dx = (Simplify your answer.) 0

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Q: Let ƒ(x) = 5x + 2 and g(x) = 5x² + 2x. After simplifying, (ƒ ○ g)(x) =

A: First we find g(x) and then apply it on f(x).f(x) = 5x+2g(x) =

Q: QUESTION 4 Use identities to simplify the expression. cos a + sin a tan a CSC a sec a tan a - 1 cot…

A: The given expression is

Q: It is estimated that thours after a certain type of heterotrophic bacteria are introduced into a…

A: The population will be increasing at a rate of  bacteria per hour

Q: 1. Short Answer: (a) Find the sum: Σkk(6k - 4). (b) If f¹0 f(x) dx = -7 and ₁0 f(x) dx = 5, find f…

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Q: 1. A concert hall has 40 seats in the first row, 48 seats in the second row, 56 seats in the third…

A: Given an arithmetic sequence, the nth term of the sequence is given by where the common difference…

Q: Find the equation of the tangent line at the point (1, 2) to the curve defined implicitly below. x¹…

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Q: 1. Evaluate: xydydx

A: The given integral

Q: Calculate the flux of the vector field (x³, y³), out of the annular region between the x² + y² = 1…

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Q: 1. Evaluate the definite integrals. • Le 0 (a) (b) e-x/2 dx 1 L₁₁42 dr dx 1 + x²

A: The given integrals are;a) e-x/2, limit from 0 to 4b) 4/(1+x2), limit from 0 to 1.

Q: If y = x(x⁹+2), compute y'. y' =

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: answer

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Q: Find the value of X, Y, and Z using Gaussian Elimination and Back Substitution in the given linear…

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Q: 1. Evaluate the definite integrals. -1/2 dx 1 4 b) f₁ 1 + 72 dr 1+x² 70

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Q: e conse g(x, y, z): ctor 2 + X for the potentia x2 Y XZ - − 3 ) ₁ + ( ² + 5 ) ₁ + ( ² − 3 ) ► k 2 Z…

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Q: Which of the following graphs represents the equation r = 7sin 0?

A: Formula Given

Q: The graph of a polynomial function is given. Find the polynomial function P. -10 -5 (-3,0) 10 (0,…

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Q: Evaluate the surface integral. Jy d y ds, S is the helicoid with vector equation r(u, v) = (u…

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Q: onsider the function f(x) = 2x - e³x. nter the number of critical points/numbers of f(x). etermine…

A: Since we are given with the multiple number of question  and our guideline is solve first  question…

Q: Let A = {1,2,..., 14}. How many subsets of A contain exactly one element (i.e., how many singleton…

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Q: Consider the function below. (If an answer does not exist, enter DNE.) f(x)=x²-27x+8 (a) Find the…

A: Consider the function below.(a) To find the interval of increase and decrease.(b) To find the local…

Q: Find the differential of the function. z = e-4x cos(3πt) dz Dax + ([ dt

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Q: For the function f(x) whose graph is shown to the right, find/compute... (a) (b) lim ƒ(x) x→2 lim…

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Q: 2. A conical water tower with vertex down has a radius of 14 ft at the top and is 18 ft high. If…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Consider the function f(x)= z+1

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Q: Find a solution to y=ke^(x^2/2+5x) Hint: ******** dy = xy + 9x + 5y + 45. If necessary, use k to…

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Q: |y=1/7(e^t-e^-6t-7) y' -e¹ +6 = -6, y(0) = -1. y DNE help (equations) b. Discuss the behavior of the…

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Q: Qr ]: A particle starts by moving to the right along a horizontal line; the graph of its position…

A: The graph of the position function is

Q: Given the sine function below, which statement is FALSE?

A: The amplitude of a function is the amount by which the graph of the function travels above and below…

Q: Suppose you start at the point (0, 0, 6) and move 10 units along the curve x = 6 sin(t), y = 8t, z =…

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Q: 3. Determine the equation of the line shown below. -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 -4 -5 2 3 1 2 4…

A: We know that the slope-intercept form is y=mx+c

Q: can you do this question again and include all the work, see if you get the same answer. include the…

A: The solution is shown in step-2

Q: Find a lower sum for f(x) = 18+ x² on [2, 4]; let n = 4 subintervals. Round to the nearest hundredth…

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Q: 1. Abigail is struggling with how to determine the characteristics of the function below.…

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Q: Q35. If the value of the determinant |1 1 64- 1 ω 11 w² ω value of k.< -1 - w | = k(w³² - w) where a…

A: W

Q: In Exercises 1-2, which functi 1. 10.2 or 72,000x¹ 12

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Q: Determine the constant A that makes the following function continuous at x = 3. f(x) = { Ax² - 4 7…

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Q: Homework problem 1 A company makes three sizes of cardboard boxes: small, medium, and large. It…

A: Using the given information, we can determine the function and thus further steps.

Q: By inspecting a graph of y = sinx, determine whether the function y = sin x is increasing or…

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Q: Write the range of the function in interval notation. Express numbers as integers or simplified…

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