Solve the inequality. Write the solution set in interval notation. 6) 4w2 > 4w - 1

Q: Consider the following. g(x) = 6x? - 7; h(x) 1.7 Find the derivative of f(x) - g(x) h(x). rm- (a -7)...

A: topic -  derivative of a function

Q: An offshore oil well is located in the ocean at point W, which is 5 miles from the closest shorepoin...

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Q: Determine the particular solution. (2xy)dx = (y² – x²)dy × = 1, y = -2 2 = 3x3y + y3 O 3 = 3x?y + y3...

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Q: Consdeu the fanction whese catevion is f(x) = x³ -2x² +5 If he equatien of the tangent line to f at ...

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Q: Use substitution to find the indefinite integral. ((8+3 In x² xp- Describe the most appropriate subs...

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Q: Write an equation for the function that is described by the given characteristic. The shape of fx) =...

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Q: need

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Q: 9. A rancher has 400' of fencing with which to enclose two adjacent rectangular corrals. What dimens...

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Q: Use substitution to find the indefinite integral. 6x+7 (3x? + 7x) ... Describe t most appropriate su...

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Q: COLUMN A COLUMN B /G-미) dx--4lnlxl + C S dx = S(3vx+) dx = (x + 3) + C dx = A. 4x В. 4* 6 +C С. 4 D....

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Q: Evaluate the integral. (Hint: u-sub) R/8 S (1+ etan 20) sec² 2x dx O 2e e

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Q: Imagine that the number line shown below is balanced on a fulcrum at the point r = 0. Two points are...

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Q: Instantaneous Velocity The velocity of moving object at a point during its motion can be determined ...

A: The given velocity function is: f(x)=-x2+6x-2 where x is the time in seconds.  

Q: Find the intervals in which the function f(x)= 2x* +8x -5 is concave up/concave down. Also, find the...

A: inflection points of y=2x4+8x3-5

Q: Consider the following. y = 9 cos“(x), y= -9 cos“(x), -x/2 s x sa/2; about x = R (a) Set up an integ...

A: Given that,  

Q: The minimum hourly wage was P50 in 1960 and P257.50 in 2000. What is the average annual inflation ra...

A: Here we have to find the average annual inflation rate in the minimum wage.

Q: x2 dx 3 (9- х2)2

A: sin(x)=1-cos2(x) tan2(x)=sec2(x)-1 ddxsin(x)=cos(x)  

Q: Solve the following initial-value problems starting from yo = 6 . dy 5y dt A. y = At what time does ...

A: This is a problem of differential equation. Based on the general method and initial value we will so...

Q: Evaluate the integral. sec (5x + 8) tan (5x + 8) dx

A: ∫ sec5x+8tan5x+8dx

Q: 17 in 25 in 37 in

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Q: Determine the particular solution. v(9x – 2v)dx – x(6x – v)dy = 0; x = 1, v = 1 O 3x° - x²y - 2y² = ...

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Q: The work W (in joules) done when lifting an object varies jointly with the mass m (in kilograms) of ...

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Q: The resulting integral of -sin0 de has the form sin 2 2 cos +C. What should be the value of 0 to mak...

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Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and...

A: Follow the procedure given below.

Q: A particle moves on a coordinate line with acceleration dt? = 60 f - 18 subject to the ds = 8 and s ...

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Q: Suppose that a particle moves along a line with position function s(t) =2t^2 +3t+1 where s is in met...

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Q: f(x) = é ーx46x? J6-6x -6 A) e-+6z² (-6x³ + 12x) + 2/6 – 6x Calculate f (x) 1 2/6 – 6x B) e-+6z° (-6x...

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Q: Detrminc Partiular solurion y?dx + (x*+ 3×y+4y?) ay:0jx=2,y=1

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Q: A farmer has 80 feet of fencing to enclose three sides of a rectangular plot of land (the fourth sid...

A: topic- application of derivatives

Q: Please answer the question below: Suppose p > 0. What is the relationship between i da and fo dx? =D...

A: This is a problem related to integration. Based on the general formula of the integration we will an...

Q: 2. Find the equation of the tangent line to the curve y = x³+ 2x² – x at the point (-2, 7).

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Q: Find the limsup and liminf of the following sequence: sin (2) а) аn = n

A: Here we have to find the limsup and liminf of the given sequence an .

Q: B. Solve the following problems: 1. Find the equation of the tangent line to the the curve y = 3x² –...

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x² – y²), (-...

A: Explained below 

Q: Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium mus...

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Q: An open box is to be made from a rectangular piece of material by cutting equal squares from each co...

A: Explanation of the answer is as follows

Q: Let f(x, y) = xe*-y and P = (11, 121). Calculate || V fp||. (Express numbers in exact form. Use symb...

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Q: (3, -5, -2), (a) parametric equations (Enter your answers as a comma-separated list.) x= 3 – 17ty = ...

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Q: consider the graph what is the value -7 -6 -5 4 2 3 45 lim f(x) lin fGx)

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Q: Let f (x) = 3x, g (x) = x + 1. Find the composite function. ​

A: f(x)=3x  ,   g(x)=x+1Two composite functions can be defined(f∘g)(x)  and ( g∘f)(x) Consider(f∘g)(x)=...

Q: y(x) =x' (2x – r²)

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Q: Obtain the general solution. 4y dx *-y *+y OC- y? + 2xy - x² OC = 2y + xy -x2 OC- y? + 2xy + x² OC -...

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Q: Solve the differential equation. dy = Sy2 dx Sin x+C O y = - 8ln x + C O =- Sln x +C O y = 24ln x + ...

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Q: 18. x dx

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Q: Determine whether the Mean Value theorem can be applied to f on the closed interval (a, b). (Select ...

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Q: Find the volume of the solid generated by revolving the region 2 bounded by y + 2v2x = (x+ v2)´and x...

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Q: Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (2x - 9)2 u- y = u2

A: topic - functions

Q: Use Euler's method to calculate the first three approximations to the given initial value problem fo...

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Q: Find the standard form of the quadratic function shown below: 7 6 5 4 + 3 2 + -8 -7 -6 -5 4 -3 -2 -1...

A: Graph of the function is given.

Q: Find dy/dx implicitly and find the largest interval of the form -a < y < a or 0 < y < a such that y ...

A: topic -implicit differentiation