The equation of the tangent line at point P(1,6) is y = help (formulas) Hint: The equation of the line tangent to f(x) at x = a is y = f(a) + m₁an (x - a)

Q: 5.) A CLOSED RECTANGULAR BOX COST $2,00 PER SQ, METER FOR THE TOP AND BOTTOM AND 4.00 PER SQ. METER…

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Q: 1. Given lim f(x) = 3, lim g(x) = -2, lim h(x) = 7, compute the following: x-1 x-1 x-1 (a) lim (f(x)…

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Q: Let f(x) = 5 + 2x - x². Evaluate the difference quotient Simplify your answer. Difference Quotient…

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Q: The half life of uranium is 80 hrs.Initially,a sample has 200g. How much of it left at 60hours?

A: The half life of uranium is  t12 = 80 hrs Initial mass of the sample is M0 = 200 g To evaluate: The…

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A: Note: After seeing the previous solution, we observe that the answer is correct however the student…

Q: For what values of a and b is the following function continuous at every x? -2 X≤ - 1 f(x) = ax-b -…

A: condition for f(x) is continuse at x=1 limx→1+f(x)=limx→1-f(x)=f(-1)condition for f(x) is continuse…

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A: Given is y0 and z0 i.e.  Coordinate is (y0,z0 )

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A: To create a table of values for the function limx→0 2x3 x -0.1 -0.01 -0.001 0.001 0.01 0.1 fx…

Q: Let f(x) ƒ'(x) = = f'( − 2) = - 2x - 1). Compute each of the following.

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Q: Guess the value of the limit if it exists by evaluating the function at the given numbers (correct…

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A: The circumference of a circle with a radius r is 2πr.

Q: Use lim f(x) = 4 and lim g(x) = x-c = - 3 to find the limit. Write the exact answer. Do not round.…

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Q: Evaluate the integral. S 9 √x (1+9√x) 5 dx

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Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim X→-4 x² + 9 x + 4…

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Q: Evaluate ]] √ye √ dA where D is the region bounded by y = x² and y = 4. D

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Q: 4x² + y² -8x+4y=8 Equation vertices: co-vertices: foci:

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Q: ||| MATH AND PHYSICS Solving an equation of the form logba = c V Solve for X. log, 100 = 2 Simplify…

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Q: Consider the function: f (x) = √(x^2+6) Step 2 of 2: Locate any points of inflection. Enter your…

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Q: Evaluate the integral. 4 2 (1 + 7 ) ²0 O A. O B. O C. O D. 111 4 79 4 365 12 dt 349 12

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Q: Solve the equation. (3x + 3xy² + 3xy³)dx + (2x²y+3x²y²)dy=0 An implicit solution in the form…

A: The given differential equation: 3x+3xy2+3xy3dx+2x2y+3x2y2dy=0

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Q: ind the linearization L(x) of f(x) at x = a. 2 f(x)=√x + 16. a=3

A: Linearisation

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A: Givenf(t)=sect   We are required to find f''π4

Q: 3) Find the equation of the plane through the point (2,3,1) that is perpendicular to the line L:…

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Q: Solve the initial value problem. dy dx +6y-8e-3x=0, y)= The solution is y(x) = 5

A: To solve the following initial value problem.dydx+6y-8e-3x=0, y0=53

Q: Question 3. The second order linear homogeneous differential equation 3y″ − 36y' + 156y : 0, has a…

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Q: 1. 2. For the function f(x)=z²+9x, simplify each expression as much as possible. f(x + h) Stres h…

A: given  f(x)=x2+9x1)  for f(x+h) put x=x+h in f(x)

Q: Let f(x) = f(−4) = Evaluate the following: a) f(-4) b) f(0) f(0) = c) f(2) f(2)= d) f(3) -4x + 6,…

A: The given function fx=-4x+6,x≤09x-1,x>0. We have to find the values of f-4, f0, f2 and f3.

Q: 3. Find the Standard and General Equation and other parts of the Ellipse given the Center (2,0), one…

A: Topic = Geometry

Q: Evaluate polynomials using synthetic division ADF If g(2)=15y^(5)-29y^(4)-12y^(3)+16y^(2)+14y+21

A: Given :   g(2)=15y^(5)-29y^(4)-12y^(3)+16y^(2)+14y+21

Q: A wrench 20 cm long lies along the positive y-axis and grips a bolt at the origin. A force is…

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Q: Differentiate f(x) = 8√3x³ + 10x6. Simplify your answer and enter it without fractional or negative…

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Q: When a sprinkler is set to full rotation, the water covers a circular section of garden with radius…

A: find the area of the garden that is covered by the sprinkler.

Q: Let f(x) = x² + 1 and g(x) = x − 1. Find f(g(-1)).

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Q: Consider the points below. P(0, -2, 0), Q(6, 1, -2), R(7, 4, 1) (a) Find a nonzero vector orthogonal…

A: given  P(0,-2,0)  Q(6,1,-2) R(7,4,1)orthogonal vector to the plane is   PQ→×PR→

Q: 3) z=f(x,y) = x sinz-z²y = 1 Z = xsinz-z²y = 1 83 AND xe MORE &=x₂z_zZulsx Z8 he OR i 51

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Q: 3. [-/7 Points] Complete the table. (Round your answers to four decimal places. Assume x is in terms…

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