Find an equation of the tangent plane to the surface at the given point. y (1, 9, 9) f(x, y) = −9x + y + 9 X ₁ X

Q: If a loading ramp is placed next to a truck, at a height of 7 feet, and the ramp is 18 feet long,…

A: Perpendicular length= 7 feet  Hypotenuse= 18 feet

Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

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Q: Below a student uses the Substitution Rule for a definite integral incorrectly. -4½/2 √x√1-x²dx 71-7…

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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: The total amount of rainfall, in centimeters, as a function of time, in days, is modeled by the…

A: The total amount of rainfall in centimetres,as a function of time in days where g is a…

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

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Q: Find the exact value of sin sin (*) 4) = (4) 团团团 EESTIMENT

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Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

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Q: #2) Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

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Q: f(x)=ln|sec

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Q: You go to the doctor and he gives you 12 milligrams of radioactive dye. After 12 minutes, 5.25…

A: We have to find the minimum time of visit.

Q: Graph the solution to the following inequality on the number line. x2>-4x

A: To find the solution of given inequality.

Q: Suppose that y varies inversely with x, and y=6 when x=3. Write an inverse variation equation that…

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Q: Let y = 5x². Find the change in y, Ay when = 4 and Ax Find the differential dy when = 4 and do = =…

A: Topic = Derivative

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: 5. Suppose that f(x) is a differentiable function that has an inverse. If the graph of y = f(x)…

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Q: #3) Find the derivative of the function. y = 2-5x

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Q: If y = u³ - 4 and u = 3x² + 10, find y' O 18x(3x² +10)² O 3x(6x² + 10)² O18(3x² +10)² 6x(3x² +10)² घ

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Q: -5 -4 -3 -2 -1 5 3 2+ 1 1 2 3 A 5 -1 -2- -3- -4- -5 Use the graph of f(x) above to estimate the…

A: Given:  A graph of fx is given. To Find:  By using the graph of fx above to estimate the value of…

Q: If h (2) = 5 and h'(2) = -4, find d /h(x) dx h(x)) x = 2

A: we use quotient rule here

Q: 4. Use linearization to give an estimate for 264.

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Q: The circumference of a sphere was measured to be 89 cm with a possible error of 0.5 cm. Use linear…

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Q: The boxplot below shows salaries for Construction workers and Teachers. Construction Teacher 20 25 T…

A: Given,

Q: 1. Use a graphing calculator to find the solution to the given system. If there is no solution or…

A: Given equation y=3x+2 y=3x+7 We find two point on the lines are Equation Point 1 Point 2 y=3x+2…

Q: Recently, a certain bank offered a 5-year CD that earns 2.02% compounded continuously. Use the given…

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Q: The radius of a cylinder is decreasing at a constant rate of 9 feet per second. The volume remains a…

A: Topic - Application of derivatives Let volume of cyclinder at any time t=VLet radius of a cylinder…

Q: what is an improper integral?

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Q: Acceleration after 1 second: -12 (c) Find the acceleration at the instant when the velocity is 0.…

A: We can answer the last question as per the definition of acceleration in the below steps.

Q: For y = 88√x, find dy, given x= 4 and Ax=dx=0.22. dy= (Simplify your answer.)

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Q: Consider the ODE (a) The general solution y(t) of the corresponding homogenous ODE is Yh(t) Osin(at)…

A: NOTE: Refresh your page if you can't see any equations. . the given DE is

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

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Q: dy dx sin(xy) = y dy dx Find the = given the equation

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Q: Use the defnitions of the hyperbolic functions to find the following limit:  lim x → ∞ (tanh x)

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Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

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Q: 2. Solve by the substitution method. If there is no solution or infinitely many solutions make sure…

A: Given the system of linear equations x - y = -3 2x + 9y = -17 By using substitution method we need…

Q: Consider the function f(x) = 3 (cos - Ampliude: A = Number Enter the exact answers. For the number…

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Q: Evaluate the expression without using a calculator. In e 6 In e 6 =

A: Here we have to find out the value of  ln (e)^6

Q: Find the first 4 non-zero terms of the Taylor polynomial centered at x = 0 for f(x) = cosx

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Q: Find the area of the shaded region (indicated below) between y = -x (dashed line) and y = √2-x…

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Q: The function is continuous at g= 0. Determine if it is differentiable at g = 0

A: The given function:Fg=2g2-gif g≤0tangif g>0.We need to check the differentiability at g=0.

Q: Find all points (x,y) on the graph of y = X X-4 with tangent lines perpendicular to the line y = 4x…

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Q: The differentiable function f is shown below on the domain (-9, 9). Determine which statement is…

A: Find the true statement.

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: this is the problem of integration here function is given we have to integrate it ∫x3(x4 +4)2dx…

Q: ************** An airplane flying at an altitude of 5 kilometers passes directly over a radar…

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Q: + 5 + + + + + + + + 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 data Based on the boxplot above,…

A: The five-number summary is the minimum, first quartile, median, third quartile, and maximum

Q: iw The graph of continuous function f for -3 ≤ x ≤ 16 is shown. 3 2 1 0 -1 -2 -3 -4 5 -_-6 -4 -2 0 2…

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Q: Find the length of the polar curve r = cos sin where 0 ≤ 0≤ π/4 3.11 2.11 2.22 1.11 None of these -

A: Concept: The length of the polar curve r is given by the formula  L=∫abr2+drdθ2dθ Where r is the…

Q: Give a vector parametric equation for the line through the point (−4,2) that is perpendicular to the…

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Q: Find the general solution in the form y = yc + yp. y'' + 4y' + 5y = e-2tcos(t)

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Q: 3. The limits below do not exist. Verify this by showing two different pathways that result in…

A: limx, y→0, 0xy2x2+y4along path x=0=lim0, y→0, 00· y202+y4=lim0, y→0, 00=0along path x=y2=limy2,…