Determine if the following function (image 1) is derivate at the indicated value. If so, indicate the value of the respective derivative. Justify if not is derivate. Value: x=1

Q: Find the vertical trace of the function z(x, y) = Z= The plane below represents the plane parallel…

A: Given data:- z(x, y)=-2x+y2 for  x=-3

Q: Use implicit differentiation to find the derivative of 5x^2y+2xy^2=-3 y'=

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Q: Please solve value problem. dy alx cos²x sinx your answer function of z. ourswers. the following…

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Q: 5. A rectangular picnic area of 8000 m² is being constructed along the edge of a river. It will be…

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Q: V=r of a spherical balloon changes with the radius. ate (in/in) does the volume change with respect…

A: Topic:- application of derivatives

Q: _et ƒ(x, y) = 8xe¯³, r(t) = (5t², t² – 3t). se the Chain Rule to calculated ƒ (r(t)) at the value t…

A: Topic:- application of derivatives

Q: QUESTION 2 One leg of a right triangle is 4 yd longer than the other leg. How long should the…

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Q: Given that f'(x) = cos(x), ƒ'(π/2) = 5 and ƒ(π/2) = 9 find: ƒ'(x) ƒ(x) = = ||

A: f ''x=cosx

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Q: 8.Differentiate the following. Do Not Simplify. b) 6x - x² y=√√-3x a) y=√√5x²-3x(5-4x)³ (x4-5) c) y…

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Q: First find f' and then find f. f"(x) = 8x³+ 10x² + 7x - 2, f'(1) = -6, f(1) = 8. f'(x) = f(x) =

A: We will find the required

Q: A function and its graph are given. Use the second derivative to determine each of the following.…

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Q: On a sketch of y = ln(x), represent the left Riemann sum with n = 2 approximating ſå ln(x) dx. Write…

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Q: graph of the derivative f. -2 2 -2 2 XI

A: The graph of the function fx is  To Sketch: The graph of the derivative f'x

Q: Find the indicated derivative. f'(x) if f(x)=2x+ 5X 5 The derivative of the function f(x) = 2x + X…

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Q: y=8-4x² - 9z²

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

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Q: Find the measure of the angle between the three-dimensional vectors a and b. Express the answer in…

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Q: Given the graph of y = f(x) below. Solve the inequality f (x) ≤ 0. -6 ch f 0 10

A: The graph of the function is given by To evaluate: The solution of the inequality fx≤0

Q: A case of vintage wine appreciates in value each year, but there is also an annual storage charge.…

A: The value of a typical investment-grade wine after t years is Vt = 2000+60t-10t To evaluate: the…

Q: Given f(x, y, z) = fz(x, y, z) = fy(x, y, z) = fz(x, y, z) = x² + 5y² + 3z², find 2

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Q: Calculate the third derivative of the function: f(x) = 11 (x + 2)³

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Q: Make a sign diagram for the derivative of the rational function. 2x + 8 --Select-- O ( ) = -Select-…

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Q: ind the equations of the tangents to y = 2x³-16 at the points where the curve touche the x-axis.

A: Topic:- application of derivatives

Q: 5.) Find by implicit differentiation. dy dx 1.² a.) = y² + 2 x+y b.) 4xe" +ye = 7 c.) ycos(x) = x² +…

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Q: Evaluate the following indefinite integral

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Q: It gas in a cylinder is maintained at a constant temperature T, the pressure P is related to the…

A: Given query is to find indicated derivative formula.

Q: If f(x) = (1 + 3bx + 2x², x≤1 for real numbers m and b. Determine the value of the sum m + b if f(x)…

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Q: which exactly are the answers?

A: Revenue Function= x ×(Demand function) Total cost function = (average cost function)×(the  total…

Q: 1) x² + y² = 2 2 = 36

A: Implicit differentiation. Find y.

Q: Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = x³ - 2x² - 4x + 5, [-1,…

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Q: The following figure shows the growth of a population as a function of time. میرا C A B Population…

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Q: A company produces a special new type of TV. The company has fixed costs of $460,000, and it costs…

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Q: You must solve both the questions here.Otherwise skip it pls. Request u Don't solve only one. If u…

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Q: Write the equation of the linear function whose graph satisfies the given conditions. Passes through…

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Q: The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial…

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Q: A radioactive element decays according to the function Q=Qoet, where Q is the amount of the…

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Q: The population of a city is modeled by the equation  P(t)=478,181e0.2tPt=478,181e0.2t where tt is…

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Q: Find the volume in the first octant between the planes z=0 and z=x+y+2, and inside the cylinder…

A: To find the volume of the given solid.

Q: o) Find two unit vectors that are perpendicular to both vectors = (2,0,-1) and y = (-3,-4,1). Are…

A: We have to find two unit vectors.

Q: Ariana borrowed some money from her friend in order to help buy a new video game system. Ariana…

A: Given data:- Ariana borrowed $ 150 and agreed to pay $15 per week.

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: An unknown radioactive element decays into non- radioactive substances. In 220 days the…

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Q: Question Determine the value of p for the series below. 2 (2) (2) 5/4 Sorry, that's incorrect. Try…

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Q: IZO there is a large tauk. it contains liters of water Kennith decides to disolve 16 grams of salt…

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Q: Let the random variable X count the number of times a randomly selected student's internet…

A: Let the random variable X count the number of times a randomly selected student's internet…

Q: Use cylindrical coordinates. Evaluate x2 + y2 dv, where E is the region that lies inside the…

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Q: large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is dissolved.…

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Q: u = 3i - 5j + 2j and v = 7i + j -2k find the vector projection of u onto v

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Q: Find the linear approximation of the function f(x, y, z) = √√x² + y² + z² at (3, 6, 2) and use it to…

A: Use linear approximation