Find the values of Xx, y and z that correspond to the critical point of the function: z = f(x, y) = 3x² + 6x + 7y + 5y² – 9xy Enter your answer as a decimal number, or a calculation (like 22/7) X- (Round to 4 decimal places) y- (Round to 4 decimal places) (Round to 4 decimal places)

Q: Find the number(s) b such that the average value of f(x) = 6x? 42x + 70 on the interval (0, 6 is…

A: The average value of f(x) in the interval a,b is given by, 1(b-a)∫abf(x)dx

Q: Identify the End Behaviors for the function graphed to the right 5+ Right hand end behavior: 3 As x…

A: Given query is to find the end behaviour of the function.

Q: x- 3 – dr x' +9.x (a)

A: find integral separately

Q: 7. Find f(x) given: 2 f" (x) = 48x 6x + 1 and f (0) = 1 and f (0) = 2 %3D

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Q: Fill in the blanks: The derivative of a product of two functions is the first function times the of…

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Q: 6. Two triangles can be formed using the given measurements. The other measurements of the triangle…

A: For other triangle m∠B=180-55.092=124.908°m∠C=180-124.908-41=14.092

Q: Given the graph of the function f(x) below, find the following Write "DNE" if the limit does not…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: Find the Average Rate of Change of the following function ver the interval [1, 7] (That is, from t=…

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Q: Consider the line which passes through the point P(1, 3, -5), and which is parallel to the line æ =…

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Q: Solve cos (w) - 6 sin(w) for all solutions 0 < w < 27 %3D w = Give your answers accurate to 2…

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Q: Find the velocity and acceleration vectors in terms of u, and ue en r=6 sin t and 0= 9t

A: The velocity is given by            v = r' ur +rθ' uθandThe accerleration is given by        a =r"-r…

Q: Differentiate the function. 2 + g(t) = In t(t? + 1)4 V8t – 1 g'(t) =

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Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: Given query is to find the derivative and equation of tangent line.

Q: divide f(x) and d(x), and write a summary statement in polynomial form and fraction form:…

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Q: ,11,,11 x"yll The expression log can be written in the form 24 A log(x) + Blog(y) + C log(z) where A…

A: logmn=log(m)-log(n) log(m.n) =log(m)+log(n) logmn =n log(m)

Q: x +729 lim x+9 X-9

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Q: Problem 4 Use the rules of differentiation to to find the derivatives of the function (a) f(x) =7–…

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Q: Ift=2cos (y² + 2), find the derivative of t with respect to y. A. 8y sin(y² + 2) cos(y² + 2) B. –8y…

A: The given function,  t=2cos2y2+2

Q: (2x + ) dx + ( – 2y) dy = 0 12. (2х + 1+x?y², 1+x²y²

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Q: y =1+6.x% Osrsl for Find the exact length of the curve

A: Length of the curve

Q: Find T, N, and k for the space curve, where t>0. r(t) = (5 cos t+ 5t sin t)i + (5 sin t- 5t cos t)j…

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Q: Use algebra and the properties of limits as needed to find the given limit. If the limit does not…

A: We can find the limit of the function. Firstly make factor in numerator and denominator and solve .…

Q: Complete the sigma notation for this series: 4 + 9 + 14 + . ...+ 294 + 299 n=1 A =

A: We have to find out A

Q: Problem 2 Let f(x) = and g(x) = /3x +2. (a) Find the domain of y = f(x). (b) Find the domain of y =…

A: We have to find domains

Q: dy as a function of x. dx Write the following function in the form y = f(u) and u = g(x). Then find…

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

Q: Evaluate the given limit |. lim %3 1- x2 2. lim CosX

A: 1. limx→0+1x-1ex-12. limx→∞x1cosx

Q: 2x2 - 9x-5 Let f(x) = Find the indicated quantities, if they exist. x +x- 30 (A) lim f(x) (B) lim…

A: We have to find the limit

Q: 7.2Find the macrorin series of f(x)=(1+x)^(1/3) , by reacthe term n=4

A: Follow the procedure given below.

Q: 3n². {(-1y"-1, 4n2 - 1 n-1

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Q: Find the volume oF the solid obtained by rotating about the x-axis the region by y= x' and the lines…

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Q: 1-r 1 can deduce, by applying the formula at r = -9, that 10" -1/8 1-9 Select one: O True O False

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Q: Let -1 <r< 1, the series r na" is the power series representation of the n-1 function

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Q: Using half-angle identities, find the exact value of tan Note that (1 cos 0 1– cos 0 sin 0 tan 2 1+…

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Q: 12. Find the profit function for the given marginal profit and initial condition. dP = -40x + 290,…

A: Solve the following

Q: 2 | [ cos ti- sin 7t j+sin 6t k]

A: Given :

Q: Classify the statement as either true or false. lim 6= 7 x7 Choose the correct answer below. false…

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Q: The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y = VT. Find the…

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Q: Construct a table and find the indicated limit. Vx +2 If h(x)= then find lim h(x). X-4 X-4 Complete…

A: To find the limit of given function as x approaches to 4

Q: evaluate the given limit. 5. lim xcosx X00

A: Given:      limx→∞x1cosx

Q: dy Find by implicit differentiation dx 4 + 5x = sin(xy*) dy dx II

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Q: show that g(x) = (1/2)x has a unique fixed on [0,1]

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Q: a) Eliminate the parameter to find a (simplified) Cartesian equation for this curve. (b) Sketch the…

A: We have to find a Cartesian equation for this curve and sketch the parametric curve.

Q: Given the triangle 13 find the length of side x using the Law of Cosines. Round your final answer…

A: This question is related to Triangles, we will solve it using given information.

Q: 2) The height (in feet) of an object that has fallen for t seconds from a height of 800 feet is…

A: Topic:- calculus

Q: Write the function below in the form y = f(u) and u = g(x). Then find as a function of x. %3D y = V…

A: Given:        y  = 3x2-4x+2

Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular…

A: A norman window has the total perimeter 8 feet.

Q: Classify the statement as either true or false. lim 2 4 X4 Choose the correct answer below. true…

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Q: 11. (e* sin y – 3x²)dx + ( e* cos y+ |dy = 0 12. (2x + 1+x?y? ) dx +( -29) dy = 4 - 29) dy = 0…

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Q: For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). X = 3t – 4t +…

A: a x = 3t2 -4t +2 y = t3 -2t2 + 2t -5  dy/dx and d2y/dx2 =? dx/dt  = 6t -4 d2x/dt2 = 6 dy/dt = 3t2…

Q: Write a in the form a = a-T+ anN at the given value of t without finding T and N. %3D r(t) = (4 e*…

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