Find the area of the region bounded by the graphs of the equations. y = -x² + 6x, y = 0

Q: Evaluate y' of the given functions: (х-4) y = x2

A: Here is the solution:

Q: Find two positive numbers satisfying the given requirements. The product is 1200 and the sum of the…

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Q: Find an approximate value of 8. [6x 6 x dx

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Q: 9) Determine whether the series is absolutely convergent, conditionally (-1)"n convergent or…

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Q: 2. Write down the name of the conic given by the polar curve r = 6/ (3 - 2 cose). Determine the…

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Q: x²+2x+1 dx (x+2)(x−1)²

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Q: Figure (a) shows a vacant lot with an 80 ft frontage in a development. To estimate its area, we…

A: It is midpoint Riemann sum      here length of interval  △x=20

Q: The volume V of a right circular cylinder is given by the formula V= Tr h, where r is the radius and…

A: Given that the volume V of a right circular cylinder is given by the formula V =(pi)r2h, where r is…

Q: Consider the polar curves Cı :r = 3 sin 20 and C2 : r = 3 cos 0, and let R be the shaded region as…

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Q: 1) Evaluate lim -12. 3 9-x2 -3 Show every step.

A: lim  (-12)*(-x - 3)*3/(9 -x2 ) x-> -3 here 0/0 form so we use law hospital rule diffrentiate…

Q: Find the equation of the tangent line to the function y = xsin x when x = 6.

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Q: 30 30 90 12 150 180 210 40 270 30 330 360 20 450

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Q: A MANUFACTURER NEEDS TO MAKE A CYLINDRICAL CAN THAT WILL HOLD 1.5LITRES OF LIQUID. Determine the…

A: Follow the procedure given below.

Q: 1. Sketch the graph of r = 6/ (3 + 3 cose).

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 95 Μ: Μα (2) Σ k = (0) Σ 23 . = k=1 115 « Σ 6k +4 = k=1 k=1 95

A: Given problem:-

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: x²+x dx (x²+1)(x+2)

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Q: If 0 < 0 < 7, which of the following points DOES NOT coincide with the polar point (-r, 0)? Select…

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Q: Solve the system. Give your answer as (a, y, z) 3z - y + z = 7 -2x + 2y + 3z = – 18 3z-6y + 6z = 0…

A: Use the method of elimination and find the value of x, y and z.

Q: Determine whether (-2, 3, -8) can be written as a linear combination of u(1, 1, 1) and v(1, 2, 5).

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Q: The derivative of f(x)= (x2+2x)(x²-2x) is a. 4x3-8 O b. x-4x2 с. none d. 3.

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Q: c) Period d) f(990°)

A: Follow the procedure given below.

Q: Evaluate y' of the given functions: 1 Find y"'for y (x+4)3

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Q: Given that ü = and i = and that üoi = 530 determine the value of the constant A. Yanıt:

A: This question is based on Dot product.

Q: where t € [0, 1]. x = cost, y = sint-t,

A: Here we will find the equation of tangent and length of curve P,

Q: Shown below is a graph of a line in the Cartesian plane. What corresponding polar equation? 2 -1 -1…

A: As we know that; The intercept form of equation of a line; xa+yb=1 Where; The x-intercept is at a,0…

Q: Find T(t) and N(t) at the given point. r(t) = (t² – 11)i + tj; t = 11 T(11) : N(11)

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

A: Given problem:- Describe in word all transformations involved.   y = - 3sin(180°-4x ) + 5

Q: Find the area (in square units) of the region under the graph of the function f on the interval [3,…

A: Area under the curve over the given interval:3, 6Area: ∫abf(x) dxA =∫36 (8ex-x) dx   =8ex -x2236…

Q: Find two positive numbers satisfying the given requirements. The sum of the first and twice the…

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Q: By total differentiation, determine or find the approx. change in the length of the hypotenuse of a…

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Q: Use the polygon law of addition to draw the resultant vector ( å + b) + ở for the following yectors.

A: The given vectors are added

Q: 5. A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second…

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Q: The particular solution of the following equation by using the method of undetermined coefficients 2…

A: A detailed solution is given below.

Q: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 =

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Q: 8. If F(x)= dt, then F'(x)=

A: Using Leibnitz rule for integral.

Q: If A =27+7-, B =-T+27-4k, and A +B +C =27+7+ 2k, what is C? 7.

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Q: 00 n³n² COS 5n³ +3, 1

A: See the answer below

Q: 8. 8 If , f(x-c)dx = 5 where c is a constant, then f (x)dx= -c

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Q: Sketch the graph the integrands and use areas to evaluate the integrals. 1. L'lx| dx Sketch the…

A: The graph is shown below, where the shaded region represents the area.

Q: A teacher has prepared 20 mathematic and 30 geometric and 25 physics questions for a test he can…

A: This question can be solved using the concept of combination.

Q: An airplane with an airspeed of 80 meters per second is due east, gaining altitude, and has a line…

A: Let us sketch the situation roughly using these following information: N = North, S = South, E =…

Q: Find the general solution to the differential equation y''+5y'+6y=et

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Q: Use Lagrange Multipliers to find the maximum and minimum values of f(x, y, z) = 2.x + y – 22 subject…

A: We have to find maximum and minimum value of given function.

Q: 1) Evaluate lim 10. Vx-5 x-25 x25 Show every step.

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Q: How do you decompose partial fractions?

A: Give  partial fractions

Q: Investigate the given two parameter family of functions. Assume that a and b are positive. f) =…

A: We will plug the values of a and b to do the analysis.

Q: Postal regulations require that for a rectangular package with a square base, the perimeter of the…

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Q: From a building across the street, the angle of depression of the foot of an edifice is measured as…

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