Find an equation of the tangent plane to the given surface at the specified point. z = 4x² - y² + 2y, (-2, 4, 8)

Q: - Express the point in terms of polar coordinates. (x, y) = (5,5√3) (Give your answer in the form…

A: To convert rectangular coordinates to polar coordinates apply the following formulas.

Q: A clothing business finds there is a linear relationship between the number of shirts, n, it can…

A: A clothing business finds there is a linear relationship between the number of shirts n and the…

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Q: Question content area top Part 1 Find StartFraction dy Over dt EndFractiondydt for each pair of…

A: The objective of the question is to find the derivative of y with respect to t, denoted as dy/dt,…

Q: (a) (* 1 (²7) dr f(x) dx = 8. Calculate the following:

A: Calculate the value of .

Q: A particle is with acceleration a(t) = 3 sint-4 cost, s(0) = 0, v (0) = 6· Find the position of the…

A: As we know that where a is the acceleration v is the velocity s is the position

Q: Given the curve whose equation is  Let P be the point (5,3). (a) Determine the slope of the secant…

A: Given:A function To find:the slope of the secant line joining P to QThe slope of secant line for a…

Q: Give a basis for and the dimension of the following subspace of M22: W = { A € M22 | AT = −A} You do…

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Q: K Find and simplify each of the following for f(x) = 7x-8. (A) f(x+h) (B) f(x+h)-f(x) (C)…

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Q: 11-12 Sketch the graph of the function and use it to determine he values of a for which limx→a f(x)…

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Given the functions, f(x)= g(x) = ₁ h(x) = √x 1. Determine the following. Clearly show your work and…

A: As per our guidelines, we are supposed to answer only one question with a maximum of three sub parts…

Q: y = 0. Consider the region in the first quadrant bounded by y = √√√x, x = 4 and For each problem…

A: The region bounded by the curves

Q: r = 5 2-4 cos 0

A: r=52−4cos⁡θ

Q: 3 13 (3.) [ 1 5 dx 2 x 1 - 16x

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Q: 4. On what interval(s) of x is f(x) decreasing?    5.On what interval(s) of x is f concave up?…

A: The function is decreasing when the value of f(x) decreases with the increase in the value of x.This…

Q: We have the following vectors: A = 2i - 2j + 3k, B=- -2i + 6j - 2k, C= -4i - 2j + k. Determine: a)…

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Q: The graph of f', the derivative of f, is shown below. Determine the values of x, if any, at which…

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Q: solve differential equation y' + y = 2 cost

A: Given:differential equation To find:solution of differential equationThe first order differential…

Q: help me with 1 and 2 please The coefficient on the leading term is Assume roots with…

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Q: Let f(x) = -9- Complete the tables below. Round all table values to four decimal places, if…

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Q: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

A: The given regression equation:y=a+bxwhere:a=23.83 is the intercept,b=−0.79 is the slope,x represents…

Q: Show step by step on how you find a. Domain b. Minimum c. maximum

A: According to the Bartleby guidelines we are supposed to do the first three subparts of multiple…

Q: Find the value(s) of k such that the function f(x) is continuous on the interval (-00, 00). (Enter…

A: Given Function is as follows

Q: The graph of the function f is given. Estimate the area under the given graph of f, the x-axis, and…

A: Given that, the function graph . We need to find the area by using four rectangles and right…

Q: A constant force of 40 lb in the positive z-direction is applied to a particle whose velocity versus…

A: Given thatA constant force of 40 lb in the positive x direction is applied to the particle.A graph…

Q: Do the following: a) Convert the system of equations into an augmented matrix. b) Follow the…

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Q: A student is trying to use long division (at the right) to solve the following (8x³2x²+7x+1)+ (2x +…

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Q: Calculate the area under the curve y = x² + 4 for 0 ≤x≤5.

A: To find the area under the curve  for

Q: 3. Rewrite the following equations in their clearest and most appropriate forms (think of…

A: We have to rewrite the following equations in their clearest forms with suitable number of suitable…

Q: consider the intergal (a) Evaluate by using the trig substitution and (b)…

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Q: please help me with c and d too  c/ The coefficient on the leading term is   d/ Assume roots with…

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Q: So Jo (sin x + (sin x +4)² dx 0

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Q: y = 3x2+3x-6 х2 - х -12 S

A: Given: To Find: To find the horizontal and vertical asymptote and to sketch the above function.

Q: Let f(u)= √u and g(x) = u = 4 + 12x². Find (f o g)'(1). (fog)'(1) = (Type an exact answer.)

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Q: Let the function of be defined by √x+4 if x =-3 f(x)-330.5x²=-2 1f-34x²1 2-(x-1)²72 if |≤x≤3 -X+1…

A: Let the function f is defined byTo sketch the graph of .

Q: Evaluate 2 Cot 2 / dx ct x 3 k 742

A: The given integral

Q: solve the equation to find v2 in detail.

A: In this question,  we need to determine the value of V2 . We know, (A+jB)(C+jD) = AC+jAD+jBC-BDAnd…

Q: Determine the absolute maximum value of the function f, shown below, on the interval [−9,9]. محمد…

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Q: 1. Determine if the following series are absolute convergent, conditionally convergent, or…

A: As per our guidelines, we are supposed to answer only one question at a time. Since you have posted…

Q: Suppose that x and y are related by the equation x = So Find (Note: should be proportinal to y) d²y…

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Q: g(x) = 9x ܢ 4x u + 1 u² +1 -du

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Q: A person starts walking from home and walks: 4 miles East 5 miles Southeast 3 miles South 4 miles…

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Q: 59. P(x) = -2x³ - 14x² + 2x + 84

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Let F(x) = cos tdt. Use the Fundamental Theorem of Calculus, Part 1 to find F1(x). x cos x² 2x cos…

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Q: Sketch the following function using DESMOS: f(x) = x² + x² + 2x Analyze the graph by answering the…

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Q: -Ч 49. у = -3x+9 У

A: Given: To Find: To find the horizontal and vertical asymptote and to sketch the above function.

Q: Use the vertical line test to determine if y is a function of x in the graph. Oy is a function of x…

A: Vertical line test:-If a vertical line intersects the given graph only once at a time then the graph…

Q: 1 Find the determinant of the following matrix by hand: A = E 0 -3 0 2 -1

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Q: Evaluate the limit: lim 2-46 x3 - 216 6 T 11

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Q: 4. Find the point (s) on the graph of f(x) = = X x² +36 where the tangent line is horizontal.

A: The given function is