What is the equation of the tangent plane to the surface ƒ(1, y) = y²e²−² + z²y at the point (2,−1) ? Select one alternative: z = −3x +2y + 5

Q: Problem 4 Find a,b,c, and d in the cubic equation y-ax³+bx²+cx+d whose graph has a horizontal…

A: we need to find out the value of a, b, c and d

Q: Write a function in any form that would match the graph shown below. 10 8 Answer: f(x)= -2 20 16 12…

A: Given query is to find the function of the graph.

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: A Differential Equation of the form dydx+h(x)y=g(x)yn is called a Bernoulli differential equation in…

Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = 4 2 50…

A: Given query is to find the function of the graph.

Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = -4 -2…

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Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p=…

A: Note:- these are multiple sub parts according to rule we can do max 3 sub parts so i am solving here…

Q: On what interval(s) is the function f(x) = x99x8 + 5 both decreasing and concave up? (Enter your…

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Q: Evaluate the following improper integral. If the integral is divergent, enter "divergent" as answer.…

A: As we know the Power rule: ∫xndx=xn+1n+1+C   The given integral is: I=∫01x1-x23dx   ...1

Q: Find the exact length of the curve. =x²-In(x), 1≤x≤4 2

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Q: y"" - 4y"+y+6y=0

A: Given :y'''-4y''+y'+6y=0

Q: L'Hôpital's Rule does not help with the following limit. The expression keeps on cycling. Find the…

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Q: Find a formula for the general term an of the sequence (starting with a₁): 1 1 1 1 6' 12' 18' 24' an…

A: Given is to find the formula for nth term

Q: 13. After t weeks of practice, a typing student can type w(t) 100(1e-0.4t) words per minute. How…

A: Given query is to find the time when the typing speed will reach to 80 words per minute.

Q: What is the derivitaive of the function? f(x)= log2(xex)

A: We have to find derivative of given function.

Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A: To find out the maximum revenue.

Q: How many horizontal asymptotes does the following function have? cos(x) X f: RR, f(x) = ‹ Select one…

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Q: 2. Find the absolute maximum and minimum of f(x) = 3x³9x² +5 on the interval [0, 4].

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Q: Use l'Hôpital's rule to find the following limit. lim (In 6x- In (x+4)) X→∞ lim (In 6x-In (x+4)) =…

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Q: 2. Evaluate the improper integrals or show that they diverge. Make careful use of limit notation.…

A: Please see the below picture for detailed solution.

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

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Q: Find the following using the table below. X f(x) f'(x) 1 2 3 4 +3+ 4 g(x) 2 g'(x) 4 1 2 -~-~ -33 1 2…

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Q: Find the general solution of the following differential equations:- 1) x² (y² + 1)dx + y√x³ + 1 dy =…

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Q: 2 5k 3 6

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Q: Write a function in any form that would match the graph shown below. -10 -8 -6 Answer: f(x) = -4 -2…

A: Given query is to find the function of the graph.

Q: 10. Find the value of $1000 deposited in a bank at 8% interest for 10 years compounded: a) quarterly…

A: Given that , P=$1000r=8%=8100=0.08t=10 years

Q: Solve for the general solution of the given DE: O x In y + In In yl = y + c Ox In x + In In y = x +…

A: We can find the solution of the given differential equation by using the variable separable method.

Q: Use linear approximation, i.e. the tangent line, to approximate 8.06 as follows. Let f(x)=√x and…

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Q: Select each expression that has a sum of 4 4/12 3 1/5 + 1 3/7 1 11/12 + 2 1/4 1 3/6 + 1 1/2 + 1…

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Q: Find dy by implicit differentiation. x² + x³y² + y²³²-6

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Q: Write a polynomial with leading coefficient 1, degree 5, zeros at x=i and x=2−i, that passes through…

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Q: Find the surface area of the part of the plane 5x + 3y + z = 2 that lies inside the cylinder x² + y²…

A: Plane: 5x+3y+z=2 Cylinder: x2+y2=4

Q: Find the area cut out of the cylinder a² +2²=16 by the cylinder x² + y² = 16.

A: Given: x2+z2=16 and x2+y2=16.

Q: -10 -8 -6 Answer: f(x) = -4 2 -200 160 120 80 40 -40 -80 -120 -160 -200 2 4 8 10 X Submit Answer…

A: Given query is to find the function of the graph.

Q: Önsider the integral 9 S² = the integral is divergent, type an upper-case "D". Otherwise, evaluate…

A: Given query is to find the value of the integral.

Q: Find the surface area of the part of the circular paraboloid z = x² + y² that lies inside the…

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Q: Use the Rational Zero Test to list the possible rational zeros of f. Verify that the a f(x)=x²³ +…

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Q: Find the exact length of the curve. y = ²(1₁ +x²)3/2, 0≤x≤ 4

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Q: Find dy by implicit differentiation. x² x+y dx 11 = y² + 5

A: Given query is to find the derivative.

Q: Find an equation of the plane with point P (2, -1, 3) and containing the line L: x-3 y+4 z-5 -6 10 =…

A: General equation of a plane passing through P(a,b,c) is, P(x-a)+Q(y-b)+R(z-c)=0....(i) Where P,Q,R…

Q: Let f(x) = √3x² + 2x + 7 ƒ'(x) = f'(1) =

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Q: O x = 4 ve Find all points where the function is discontinuous. e

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: An equation relating the variables x and y, the values of x and y, and the value of dy value of…

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Q: f(x) = 6x - 5 (a) Find the inverse function of f. f-¹(x) = + 5016 (b) Graph fand f-1 on the same set…

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Q: 3) Find all the solutions to 3(1 − cos 0) = 1- cos² 0.

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Q: In the following exercises, change the order of integration and evaluate the integral. π/2 Z+1 ://…

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Q: Use l'Hôpital's rule to find the following limit. lim 9x² e-x X→∞

A: To evaluate the given limit of the function

Q: If f(x) x+1 4x 3x + 5 13x + 5 3x + 3 13x + 1 3x + 2 and g(x) = 3x x + 3' then (gof)(x) is

A: given  f(x)=x+14x                        g(x)=3xx+3           gof(x)=g(f(x))

Q: Find the indefinite integral. (Use C for the constant of integration.) J In(e4x - 3) dx

A: We have to find the indefinite integral.

Q: Is there a number a such that the following limit exists? (If an answer does not exist, enter DNE.)…

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