Solve for x: x + 5| < |x-7|

Q: Find the intervals where the function f(x) = 2cosx + 1/ sin2x, 0≤x≤ 2π is concave up.

A: Let's solve.

Q: Find f'(x). f(x) = = O V 10x - sin²(7x) 1 f'(x) = = 2√/10 - 14cos(7x) 1 f(x) 2√10x - sin² (7x) 10…

A: This question is related to differentiation, We will solve it using given information.

Q: Use the graph of h(x) shown below to evaluate limh(x), if possible. If the limit does not exist,…

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Q: Consider the improper integral and the propositions dx J = = 6of foo x² + 3 1- The integral J…

A: Find out the correct statement.

Q: In(1+x)

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Q: Question1: Classify the following differential equations in terms of the (Type, Order, Linearity and…

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Q: Graph r(x) = 2x² 12x + 16 on the Cartesian plane to the right. To graph the function you'll first…

A: To find: The interval where increasing and decreasing also find maxima, minima, domain and range.…

Q: = X ¹0 = 1 8 = = 0 ay!!

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Q: 3) Find equations for the lines: a. The line through the point P(3,-4,-1) parallel to the vector…

A: Here we have to find the equations for the lines,  a) The line through the point P(3,-4,-1) and…

Q: Find the derivative of the function. y=-5e-4x+1 dx 11

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Q: Evaluate the given integral by changing to polar coordinates. Sk (4x - y) dA, where R is the region…

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Q: Activity 3: Let's Evaluate! Direction: Read each item carefully then, choose the letter of the best…

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Q: 3. (3y² + xcos xy) sh a) d) al + (3x2 + ycos xy) = 0 dx y + sen xy + x³ = 0 y2 + sen xy + x³ = 0 y²…

A: The given equation is;  (3y2+xcosxy) dy/dx +(3x2+ycosxy) =0

Q: INSTRUCTIONS: (1) Answer all questions neatly with a blue or black ball point pen/ink pen. (2) Use…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

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Q: 4. Find an equation for the plane through (1, 3, 4), with normal vector .

A: topic- equation of plane with point and normal vector

Q: Find the differential equation such that y(x) = c₁(x-4)³ + c₂ln(x-4) (x-4)² 64x²d²y + 2 +60x+y=0 dx²…

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Q: 7- cos y dx + (x siny-cosy)dy = 0 8- (1+ y²)dx + (2xy + y² + 1)dy=0

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Q: Evaluate exactly lim(1 + sinx)2cot: x→0

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Q: is: The value of the following limit Lim (cos(x))ou(x)

A: The value of the limit is when x tends to 0 for the function (cos(x))cotx

Q: X | J = -dx x+1 Consider the following propositions according to the integral shown: 1- When…

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Q: Evaluate integral 6x²–2x−1_dx b. S 4x -x

A: To evaluate the following integral. ∫6x2-2x-14x3-x dx

Q: J = [sen² (4) cos² (4)dy. When applying variable change u= cos , J is equivalent to: O a) fu² (1-²)…

A: Given,       u=cosφ     du=-sinφdφ -du=sinφdφ

Q: Use Lagrange multipliers to find the absolute maximum and minimum values of the function z = f(x, y)…

A: Given problem:- Use Lagrange multipliers to find the absolute maximum and minimum values of the…

Q: un J-2√√2+x (c) Let u₁ = x² - y² and u₂ = x³ - 3xy². Show that u₁ and u₂ are harmonic functions and…

A: Solution

Q: Make a conjecture about the derivative by calculating the first few derivatives and observing the…

A: Given :d61dx61sinx

Q: whought c. The plane through (1,1,-1), (2,0,2) and (0,-2,1)

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Q: Consider the function f (x) = x-3 x+3 (a) Find the domain of f(x). Note: Use the letter U for union.…

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Q: 4) Find equations for the planes: a. The plane through P(0,2,-1) normal to n = 3i-2j-k

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Q: Consider £ {y(t)} = Y(s) when solving the following equation: ty' (t) + 23ty(t) = 0 con y(0) = 0…

A: L

Q: Which of the following gives the area of the region bounded ㅠ by the curves y = sin x, y = sin(2x),…

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Q: a) Using the methods of (a) Gauss elimination and (b) Gauss-Jordan, solve the following system of…

A: Since you have asked multiple questions,as per our guidelines we are supposed to answer only one…

Q: 7,000e0.1x dx   Find a substitution to rewrite the integrand as 70,000eu du. u=     du =        dx…

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Q: Use long division to divide. (Simplify your answer completely.) (5x³-16 - 20x + x4) = (x²-x-3) 1-√13…

A: Note :- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

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Q: Sketch the function and Ensure you are finding everything you can about the function (ie.…

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Q: x² +5 x<2 Given the function f(x) = { -5x + 1 x ≥ 2 (i) Determine the values of the following: (a)…

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Q: 1. Find when y = In (-²). dx Express your answer in a single fraction.

A: The given function,     y=lnx5-2x

Q: Factor the trinomial. 6q²-25qt+14t² Select the correct choice below and, if necessary, fill in the…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: For the function f whose graph is given, state the following. (If the limit is infinite, enter 'co'…

A: Given graph:-

Q: Use implicit differentiation to find d²y = dx² d²y dx² if 8y+sin y = x.

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Q: Evaluate afa²-x² dx. a. - Q² b. a² O a b e C. d. a³ e. none of the choice

A: Solution is here

Q: . Evaluate cos 3x sin² 3x dx

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Q: Using the Law of Sines to solve the triangle if ZA = 41°, ZC = 73°, b = 22 LB is degrees a = C =…

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Q: Use the graph to identify absolute maximum and absolute minimum values for the function on the given…

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Q: Transform the given system of differential equations into an equivalent system of first-order…

A: Given

Q: Use differentials to estimate the value of 1.2. Compare the answer to the exact value of 1.2. Round…

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Q: 9. g. lim t-∞ t→-8 6t²+t-5 9-2t²

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Q: 5

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