Find the equation of the tangent plane to the surface: x² + y²-z² = -z, at (1, 1, 2)

Q: Given f(x) = 3√x + 2, find f'(x) using the Limit Definition of the Derivative. Doing this question…

A: Given that  f(x)= 3√(x+2) we find f'(x) using limit defination and without limits defination.   Here…

Q: Fill in the blank. The symbol C, represents a constant. Write this result as a linear first-order…

A:

Q: Determine if the series below converges or diverges by comparing it to a p-series using the…

A:

Q: Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2). (Enter your…

A: I am attaching image so that you understand each and every step.

Q: Find and classify the critical points of f(x, y) = 2x²y - 4y² - 8y - 4.

A:

Q: 31. One Saturday Omar collected from his newspaper customers twice as many dollar bills as fives and…

A: Note:- These are multiple questions but according to rule we can do maximum 1 question so i am…

Q: valuate the limit 5x² + 3x lim ZX √7r4+2r² +10

A: Given query is to find limit of the expression.

Q: Evaluate the expression without using a calculator. log 476

A:

Q: problem # 3. Graph the and get its f(t) = - 0 0 piecewise function Laplace transform. t <3 3 < t < 5…

A:

Q: Coal gas is produced at a gasworks factory. Pollutants in the gas are removed by scrubbers, which…

A:

Q: For the function f(x) two periods. Enter the exact answers. 2 cot a determine its stretching factor…

A: We can solve this as follows:

Q: Calculate the cross product. (3j - 4k) x (8j + k) = ai + bj + ck (Give your answer using standard…

A: To find the cross product of given vectors.

Q: x³, -2<x≤0 -3x, 0≤x<2 2<x<4 x = 2 f(x)=√-3x, 8, 0

A:

Q: The base of a certain solid is the area bounded above by the graph of y perpendicular to the y-axis…

A:

Q: F(g) = of 20 ifg≤0, tang if g70,

A: The objective of the question is checking the given function of differentiable at "0".

Q: For the following exercises, use shells to find the volume generated by rotating the regions between…

A:

Q: Explain what it means to say that "The limit as x approaches -6 of f(x) is equal to 8." (Note: I am…

A: We have given  The limit as x approaches - 6 of f(x) is equal to 8. limx→-6fx=-8 It means that…

Q: The city of Anville is currently home to 26000 people, and the population has been growing at a…

A: We are authorized to answer one question at a time,  So we are answering the first one, please…

Q: Every year a lake becomes more polluted, and 2% fewer organisms can live in it. If in 2010 there are…

A:

Q: Question Determine the absolute error when using the trapezoidal rule to find (2x³+4x) dx using 4…

A:

Q: - Find the general solution of y"" — 2y" — y' + 2y = 0

A: y'''-2y''-y'+2y=0

Q: 2) Use the DISC or WASHER method to find the 3 volumes defined by y=x" and y = x, as described below…

A:

Q: The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t…

A:

Q: Determine the next pivot element for the tableau. x y u v w M 4 1 1 0 0 0 16 5 2 -3 -3 1 6 J-OOO 0…

A:

Q: Find an equation of the tangent line to the curve at the given point. y =   1 + sin(x) cos(x),…

A:

Q: Find the first and second derivatives of the following function: h (x) h'(x) h" (x) = - 330 = tan-1

A: Given h(x)=tan-1(x2)We need to findh'(x) and h''(x)

Q: Use linear approximation, i.e. the tangent line, to approximate 8.3 as follows: Let f(x) = . The…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) sinh(1 − 6x) dx

A: The given integral: ∫sinh1-6x dxWe need to evaluate the indefinite integral.

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)=√56x²-9y²-16x-31…

A: The function is given as , fx,y=56x2-9y2-16x-31+1-8x find the local minima , local maxima and saddle…

Q: Working in radians, find an estimate of the solution of the differential equation dy = 2y cot (x) +…

A: Given differential equation: dydx=2y cot x +ex sin2x To find the estimate of its solution at point…

Q: Determine the Domain and Range for the graph below. Write your answers in Interval Notation. -5 -4…

A: The graph of the function is To determine: The domain and the range for the graph.

Q: $7000 is deposited in an account earning 8% interest compounded continuously. Use the continuous…

A:

Q: A van is traveling due north at a speed of 80 km/h. If the van started off 7 km directly east of the…

A: Solution:

Q: 6(x − 1)²

A: We need to find the derivatives of the following expression   Where, fx=6x-17   Useful formula÷…

Q: a) Use the data in these tables of values to draw two scatter plots on the same pair of axes. Use a…

A: The given data are in the table, i) Term Number Term value 1 1 2 4 3 9 4 16 ii)…

Q: Calculate all four second-order partial derivatives of f(x, y) = 5x²y + 5xy³. fxx (x, y) = fry (x,…

A:

Q: Determine the point(s) where f(x)=has horizontal tangent line(s).

A: For a function to have a horizontal tangent line means the slope of the function is 0.

Q: We are going to calculate the standard deviation for the following set of sample data. 1) First,…

A: NOTE: Refresh your page if you can't see any equations. . the given sample data is  find the mean

Q: Find f'(x). f(x) = 9x-8 4x+9

A:

Q: Let y tan (5x + 7). = Find the differential dy when * = 3 and de Find the differential dy when x = 3…

A:

Q: then a = NO and b = --2- -1- Check Answer 6 - -1- -2- --3- W --4- LO CO -5 If this function has the…

A: This function has hole at x = -2 And vertical asymptote at x = 3 so Q(x) = (x+2)/{(x+3)(x+2)} so a =…

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t)= 0.041³…

A: Given S(t)=0.04t3+0.8t2+4t+3We need to find(A)S'(t)(B)S(7) and S'(7)(C)Interpret S(13)=278.08 and…

Q: When food is left out at room temperature for a long period of time, mold begins to grow on it. For…

A: When food is left out at room temperature for a long period,mold begins to grow on it.For…

Q: h response xk and input u = 8k is modelled by the difference e

A: Solution of the problem as follows

Q: Determine by integral test the convergence or divergence of the series Σ √n+4

A: The given series: ∑1∞1n+4.We need to check the convergence of the series using integral test.

Q: (a) For what values of r does the function y = ex satisfy the differential equation 7y"+ 20y' - 3y =…

A:

Q: Let g and h be functions defined by g(x) = 2× · f(x) and h(x)=3x² + 4x-In√x. Part A: Find g'(8).…

A:

Q: The number of bacteria in a culture is given by the function n(t) = 915e⁰ 0.35€ where t is measured…

A:

Q: Find the volume of the solid that results when the region bounded by y = √x, y = 0 and x = 36 is…

A:

Q: (4) Explain why fx ln x dx is improper. Evaluate it using the limit of a proper integral.

A: