Solve for the zeroes of f(x) = x* - 4x2 and sketch the graph %3D

Q: V2x + 9 – V = 3

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Q: Differentiate the function using the three step rule. Show your solution. f(x)=(x)/(√(x-4))

A: You must have idea about three step differentiation method.

Q: Approximate the value of the root of f(x)=-3x³+5x²+14x-16 near x=3 to within 0.05 of its actual…

A: Given : f(x)=-3x3+5x2+14x-16, to find the value of the root near x=3.

Q: Find the two positive numbers, whose product is 100 and sum is maximum.

A: We have to find the two positive numbers, whose product is 100 and sum is maximum.

Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which…

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Q: Use newton-raphson method to solve f(x) = 2x2 + 7x - 10

A: Given that: f(x) = 2x2 + 7x - 10

Q: Solve using quotient rule:  f(x) = (x^2 + 4) (x^4 – 4x^2 + 16)

A: Given function: fx=x2+4x4-4x2+16 We know that, a3+b3=a+ba2-ab+b2.

Q: Ex+ 8x3-72x?+4 三X'

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Q: Obtain the Selution of diffnential equation Sec Y x2-4x +5

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Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.…

A: increasing and decreasing intervals of fucntion  fx=3x4 − 4x3 − 12x2 + 5

Q: (2x-1) dx 3 2x²³ -x²-27x +36 f

A: We can evaluate the given integral by using the method of partial fraction.

Q: Find three positive numbers whose sum is 100 and whose product is a maximum.

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Q: A projectile is thrown upward so that it’s distance above the ground after t seconds is h =…

A: Consider the given Function, h=-11t2+484t to find the maximum height of the projectile differentiate…

Q: Solve for x x'(t)=x-t

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Q: The path of a baseball after being hit is modeled by f(x) = −0.0032x2 + x + 3, where f(x) is the…

A: We have, the path of a baseball after being hit is modelled by the function given as…

Q: Please use the theorem in the picture to solve for the 5th term of (x+y)^9.

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Q: If a projectile is launched into the air at 29.4 feet per second from a height of 60 feet, its…

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Q: The number of unique monthly visitors in millions to Facebook can be approximated by V(x) = 16x2 +…

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Q: Find three positive numbers whose sum is 90 and whose product is a maximum.

A: Second derivative test: For critical points, fx=0 fy=0 A function f(x,y) has a local maximum value…

Q: ー Hx %3D

A: 9x2 = 4x => 9x2 - 4x = 0 => x(9x - 4) = 0

Q: Solve ivp  f'(x) = x^3-7x^2+8x-3 ; f(0) = 3

A: Given ,  f'(x) = x3 - 7x2 + 8x - 3 ; f(0) = 3 Take , integration both sides w.r.t x Then ,  ∫ f'(x)…

Q: What positive number exceeds its cube by the maximum amount?

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Q: The profit per acre from a grove of orange trees is given by x(230 - x) dollars, where x is the…

A: Given profit function :

Q: Find three positive numbers whose sum is 3 and whose product is a maximum.

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Q: A hotel rents 180 rooms at a rate of $55 per day. For each $1 increase in the rate, four fewer rooms…

A: Given that there are 180 rooms and the room rate is $55 per day.$1 increase in the price will lend…

Q: How do I solve this? Please show steps. Differentiate: F(y) : y4

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Q: The profit per acre from a grove of orange trees is given by x(270 – x) dollars, where x is the…

A: Given, The profit per acre from a grove of orange trees is given by x(270-x) dollars, x is the…

Q: sketch the graphof the function.y = 2−x2

A: Graph of the function can be drawn with the help of the points that lie on the curve. Substitution…

Q: A 100 inch strip of sheet metal starting out 16 inches wide is to be made into a small open trough…

A: Given, A 100-inch strip of sheet metal starting out 16 inches wide is to be made into a small…

Q: solve equation f(x)=0 when f(x)=5x^3-54x^2+170x-104

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Q: 4. Show that it has a real value!

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Q: Sketch the curve. Show your solutions. f(x) = x4 - 6x2

A: Consider the given: fx=x4−6x2Apply exponent rule:     ab+c=abacfx=x2x2−6x2Factor out common term…

Q: The profit from a grove of orange trees is given by x(230-x)  dollars, where x is the number of…

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Q: Solve using quotient rule:  f(x) = (3x^2 – x + 4) (2x^2 – 1)

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Q: Suppose that a ball is thrown straight up into the air and its height after t seconds is 5 + 24t-…

A: The function which gives the height is a quadratic function. To find the maximum height attained by…

Q: Differentiate the function y=sec(3x)+5-2

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Q: find horizontal and vertical intercept of f(x)= -2|x+1|+6 and graphing the function

A: The given function:

Q: Find two positive numbers whose sum equals 90 and who maximize the square root of their product.

A: Given that , Sum of two numbers are 90. find the numbers.

Q: A tractor spends 5 days plowing x number of fields. How many days will it take to plow y number of…

A: Given: A tractor spends 5 days plowing x number of fields.

Q: Differentiate. 2) f(x) = e3x

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Find the length x. X 2.

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Q: The fixed costs incurred by a small genetics research lab are $200,000 per year. Variable costs are…

A: Given annual cost=$300,000  fixed cost=$200,000 variable cost=60%×300000=$180,000

Q: Find three positive numbers whose sum is 400 and whose product is a maximum.

A: Let 3 numbers be x, y, z Sum of these numbers is 400 x+y+z = 400          z= 400-x-y Product = P(x,…

Q: Solve for x: logs (x) + logs(x – 2) = 1. Show your work. -

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Q: Use thế # 1) f(x) = 8x3 - 24x2 + 18x + 6 # 2

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Q: ivp

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Q: A firm can produce only 1100 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A: Cost  is given by 400 + 200x Revenue is given by 350x -1100x2 We have to find the units to be sold…

Q: Find two positive numbers whose sum is 32 and the sum of their square roots is maximum.

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Q: Find an equation to represent the current salary after     x years of employment if the starting…

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Q: The height of a ball after being dropped from a point 64 feet above the ground is given by h=…

A: When the ball hits the ground, the height of the ball from the ground is zero. The solution of the…