Evaluate the area below X-axis and above the curve y = 24x2-45x. Round your answer to 3 decimal places.

Q: Question 2 of 12 Your answer is partially correct. f'(x) = lim h→0 20 x3 Equation: y (b) Find the…

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Q: x² - y² = 25, x ≥ 0, y = −5, y = 51

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Q: Solved the following set of equations 16x + 2y 2z = 16 2x 14y + 4z = -8 4x + 2y + 18z = 24 Using…

A: Given: 16x+2y-2z=16 2x-14y+4z=-8 4x+2y+18x=4

Q: 1) Let f(x) Choose the best answer. = sin² (3x4). Derive the derivative f'(x).

A: The explanation of answer as follows

Q: 2. f(x) = (x + 2)²³ (x-1)

A: Given:       fx=x+22x-1  Apply chain rule:   f·g'=f'·g+f·g' here f=x+22, g=x-1…

Q: Then (fofof)(x) = || (gogog)(x) = ((fog) - (gof))(x) = ((f+g) o (f-g))(x) = f(x)=2x-1 and g(x) = 3x…

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Q: below. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit doe

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Q: Let A = {1, 6, 9, 7, 5, 10) B=(3, 6, 7, 4} and U be the universal set of natural numbers less than…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) 1…

A: To evaluate the given integral

Q: The adul dicts that the adult population of the town will increase by 4% each year, ming a geometric…

A: At the end of one year population = 20000 increased by 4%  a. Population at the end of 2nd year

Q: Use implicit differentiation to find dy/dx for the following: 2x^3 - y^3 - e^y = 10

A: This question can be solved using the concept of differentiation of implicit and explicit function

Q: 4. A large container initially contains 50 gallons of salt-water with concentration 0.4 lbs. of salt…

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Q: Find a formula for a function g(x,y,z)  whose level surfaces are planes parallel to the plane…

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Q: Find the position vector R(t) and velocity V(t) given the acceleration A(t) = 25esti + 5 cos(t)j +…

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Q: Expand log₂ 64a4 b6c4

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Q: 1. Three vectors in space are given as K = 3x + 2y + 42 L = 2x - 3y + 2 M = -x - 4y in cartesian…

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Q: In Exercises 9 and 10, use the graph to find (i) lim_f(x), (ii) lim f(x), (iii) lim f(x), and (iv)…

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Q: Let U be the universal set of natural numbers less than 11. Consider the following two sets. A = {6,…

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(−2, 1, 0), Q(4, 2, 4),…

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Q: Given f(x, y, z) = x²y³z - 3xy²z³ + 5x²z - y³z, find fxyz

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Q: 6.) Find the limit (if it exists). 6x² + 3x + 10x²+x+ lim x+²)

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Q: when solving for the slope of the secant line how did you solve that ?

A: To be explained : Calculation of slope of Secant line

Q: Differentiate implicitly to find dy/dx. Then find the slope of the curve at the given point. x²y² =…

A: Given expression: x2y2=49                ............(1)

Q: A curve passes through the point (0, 2) and has the property that the slope of the curve at every…

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Q: f(x) || { -४४० -122 X ++ x + 2 C if x # -2 (and x = 0) if x = -2

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Q: What volume of refrigerant should be recovered for disposal from an oldrefrigerator? The length of…

A: Consider a cylindrical pipe with diameter 14 inch and 15 feet of long. To calculate its volume.

Q: Kindly exhibit that xzxx+yzxy=y2zyy if z=xy+yln(xy)

A: The given data is: z=xy+ylnxy To prove: xzxx+yzxy=y2zyy

Q: Solve the integrals: (1) (c I₁ = 1 |x| x² + x| dx

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Q: (a) How long will it take an investment to double in value if the interest rate is 4% compounded…

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Q: 23 Using the Table method, find the limit. Make sure you show all steps 4x +9 x+2 lim, g(x)

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Q: Find all the second partial derivatives. f(x, y) = x6y5 + 2xºy fxx(x, y) = fxy(x, y) = fyx(x, y) =…

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Q: The rate of change in data entry speed of the average student is ds/dx = 4(x + 9)-1/2, where x is…

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Q: Let u, ER" prove that ||ū + ï|| ≤ ||ū|| + ||v||

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Q: If g(s) g'(s) = = 2s²- 19s +6 s² -, compute g'(s). Hint: Simplify g(s) by writing it as a sum of…

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Q: 86. f(x) = √x, g(x) = 2 x - 4

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Q: (a) If f(x) = (x³ − 7x + 11)(x² + 6), compute f'(1). f'(1) (b) If g(x) = = x³ - 7x + 11, compute g…

A: See this solution in below.

Q: During each cycle, the velocity v (in meters per second) of 9 a robotic welding device is given by v…

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Q: 2 S √√x²1 (2x² + 2x) dx -

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Q: Use the definition of derivative to find f'(x) and f"(x) f(x) = 4x² + 3x + 2 f'(x) =

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Q: Write cos(sin(x)) in an algebraic expression form.

A: the solution consists of substitution

Q: A projectile is launched into the air. The height of the projectile above ground can be modelled by…

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Q: III. WITHOUT SOLVING the given problem, DEFINE the variables and unknown quantities, and SET-UP ONLY…

A: see below the answer and explanation

Q: Solve the matrix equation for X. 23) M= ET 14 -[-5²2) N =-12-20] X = MX-N -8 -5 (-14) +2 (-2) = -5…

A: The given matrix is; M= -5 2       , N= -14 14         1  4                -2   -20.

Q: 哥 3 1. L-1

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Q: Find by implicit differentiation. dy dx dy = dx Vxy = x y + 38

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Q: Use the Intermediate value theorem to show that the given polynomial F(t)= 2t2 + 3 - 3t has a real…

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Q: Use the step-by-step or Euler method to solve numerically each of the following. (b) dy/dx = x+v,…

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Q: Let A = {7, 2, 6, 8, 3, 5} B = {4, 2, 8, 9} and U be the universal set of natural numbers less than…

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Q: A cup of coffee is removed from a microwave. Its initial temperature is 199 degrees. After exactly…

A: In the given question: A cup of coffee is removed from the microwave, θ1=199∘C After 11 minutes…

Q: )A. Let,g(t) be the solution of the initial value problem with g(1)-1 Find g(t) g(t) 1/(14) B. Let…

A: We have to find the solution of the given differential equation.