What is the inverse of the function f(x) = (x-6)2 where x ≥ 6, if it exists?

Q: Evaluate the integral by making the given substitution. sec(52)tan (5x)dz, u = 5x + C

A: we know that   dxndx=nxn-1d(secx)dx=secxtanx

Q: The revenue in dollars generated from a sale of x picnic tables is given by R(x) = 22x- (a) Find the…

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Q: (b) n=1 3 2n-1

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Q: 16) Sinx-cosy-2=0; dy = ? A) -cot X c) CosX siny B) -cot y d) -cscy cos X E) 2-COS X siny

A: given 16) sinx - cosy - 2 = 0

Q: The volume of a balloon is inflated from 0 to 8 m³ in 5 minutes. What is the average rate of change…

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Q: 13. The function has the 1st derivative given by f'(x) = -x(x+3)(x - 1)²(x+4)³. What are the x…

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Q: 23) Find values for a, b and Y in Y dx to represent the shaded area below. y = f(x)

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Q: Question 1 ( (a) ) ) For the function (b) ( transform 3 f(t) use the definition of the Laplace…

A: Given function is (a) f(t)=30≤t<2e2tt≥2and (b) L-13(s+5)(s-2)

Q: 6. f(x) 10. f(x) 12. j(x) f(x) 14. 16: Function 3. 7. 9. 11. f(x) 13. f(x) 15. f(x) 17: f(x) 15.…

A: Match the function with the graph of its derivatives.

Q: 2 Find the area between the graph of y = 5 – 5x³ and x-axis and − 1 ≤ x ≤ 8 using properties of…

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Q: Evaluate the indefinite integral f7 sin 7 sinº t cos tdt = Submit Question Jump to Answer

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Q: Find the length of the loop of the given curve. x = 6t - 2t³ y = 6t²

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Q: If C is a constant, and f(x) = | ƒ(x) = ln(Cx³), find and simplify the third derivative: ƒ'''(x) =

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Q: 1 1 If g'(4) = 4 and h'(4) = 18, find f'(4) for f(x) = 79(x) + 3h(x).

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Q: ven the following equation of a circle in general form, find the equation in standard form by…

A: Given query is to find the standard form of circle.

Q: • L₁²*²1*²** LI Q16: 2z√x² + y² dz dy dx (Hint: use the cylindrical coordinate)

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Q: nth derivative of f(x) = 5º? Assume n is a positive integer. What is the n

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Q: Given the graph below, solve the following inequality: h(w) ≥ 0 +10 +n(w) 9 8+ 9 1 74 6 5 16 4+ 3 2…

A: Using root of quadratic equation

Q: Find the area of the given region. Use a graphing utility to verify your result. y = 1 + In x³ X y 1…

A: We can find the area of the region .

Q: Consider the function f(x) = x + sin(2x) defined on the interval [0, 2x]. Verify that the mean value…

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Q: f(x) = x4−32x−12  Determine where the function is concave up and concave down. Enter your answers…

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Q: Find the volume of the solid whose base is the region in the first quadrant bounded by y = x7, y =…

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Q: Find the area between the curve and the x-axis over the indicated interval. 2 y = 36-x [-6, 6] The…

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Q: If sec(a) O 4/6 6/4 = 250 88 88 13 find the value of cot(a) where a terminates in the first…

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Q: 18 Suppose c is directly proportional to the square of d. If c when d = 3, find the constant of…

A: given that , c is directly proportional to the square of d ⇒ c α d2⇒c = k d2 ................(1)…

Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) (2,4)

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Q: n-1 2)Let an = 2( 2 (²1) ¹²-¹ Write the first 5 terms of an. Σ ¹00 k=1 ak

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Q: 3. Find the maximum value of f(x, y, z) = x + y − z subject to the constraint x² + y² + x² = 6.

A: Solve the following

Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) * (2,4) f(x) = log₂ (x ) Type your…

A: We have to find the equation for the given graph.

Q: Find the value of a that makes the following function differentiable for all values of x. g(x)= ax…

A: According to question, Given Function,gx = axif x<0x2-7xif x≥0

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Q: Find the vector equation that represents the curve of intersection of the paraboloid 2=2x²+y² and…

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Q: Question 1: A radioactive element has a half-life of 30 years. If you begin with 7000 grams of the…

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Q: Find the first and second derivative for the following functions. 1. y =tan(x) 2. Y = 3(x²-4)5 no…

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Q: 11 . (870), they y equals; c) 3 mx 7) + y = x² lux, (X>0), they q) 3+hX D) 3+3nX B) 3+2nX E) 2+X+X

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: Please see the below picture for detailed solution.

Q: Consider the given function and the given interval. 14x f(x) = (1+x²) 2¹ [0, 2] (a) Find the average…

A: According to question,Given Function,fx = 14x1+x22

Q: 14. Given g(x) = f(t². + 6t16) dt, find intervals on increasing / decreasing and concave up/ concave…

A: The given integral function is: g(x)=∫-22x t2+6t-16 dt

Q: Solve the system by back substitution. -4x-8y-2z - 6w = 5 -4y-24z-8w = -32 -4z-4w= -8 4w= 12 The…

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Q: Suppose that f'(x) = x*. Match the concavity for the curve y = on (1/5, 1/4) on (3/10, 2/5) on…

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Q: Explain and demonstrate how to find the eigenvalues of the matrix 0 2 2 3]. -3

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Q: 31. dy If x³ - 2xy + 2y³ = 4 then, in terms of x and y, dx

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Q: 7) Determine the volume of the solid of revolution formed by rotating the region under the graph of…

A: Given y = ( x5 - x ) from x = -1 to x = 0 as we know that volume of solid obtained ny revolvind the…

Q: da x ln(x)

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Q: Find the length and width of a rectangle that has an area of 392 square feet and whose perimeter is…

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Q: Find the linear approximation to the equation f(x, y) approximate f(6.28, 4.16). f(6.28, 4.16) xy at…

A: Given  fx,y=5xy6 The objective is to find the linear approximation to the equation.

Q: Integrate using u-substitution or 2 guys in Jail. fx sin(2x²) dx 5. (4x³-2)7 (24x²)dx

A: (4)   I=∫xsin(2x2)dx∫sinxdx=-cosx+cdxndx=nxn-1

Q: Suppose a real number t determines the terminal point (a, b) on the unit circle as shown. (a,b) ▶ D…

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Q: Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 10z) k C is the line segment from (2, 0,…

A: Solve the following

Q: ppose h(x) = f(g(x)). Given the table of values below, determine h' (2). x f(x) g(x) ƒ'(x) g'(x)| 2…

A: Given query is to find indicated derivative.