Given f(x, y, z) = √√√− 6x + y − 2z,

Q: The following family of DE's depends on the parameter a. Sketch the corresponding bifurcation…

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

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The graph of a function fis is shown below. 576 5 1 -6-5-4 -3 the -2 Sketch the graph of the…

A: Given graph

Q: Use the indicated x-values on the graph of y = f(x) to find the following. y پیلے X = a b d x Find…

A: We have to find point of inflection from given figure.

Q: 1. Find the derivative of each of the following functions. a) f(x) = 2xe³x-1 b) y = 24x+1 d) y = 2…

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Q: 2) Suppose a tennis ball is thrown upward from a tennis court that is 30 feet above ground (the…

A: Given position function:- st=-16t2+48t+30 We know Average rate of change of function fx in interval…

Q: Use implicit differentiation to find the derivative of x^2+3y^3=4 y'=

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Q: Exercise 5 Continuity on an Interval Find the value(s) of k that make the function continuous over…

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Q: Prove the identity. tan(x) – tan(y) 1 tan(x) tan(y) tan(x) – tan(y) 1 - tan(x) tan(y) (1 - tan(x) =…

A: The objective of the question is providing the given identity and fill the box.

Q: 10. Given f (x, y, z) = x³y²z5, please compute 87 f 8x²8y6z4

A: From the given data we have to find the value of  the partial derivative.

Q: Exercise 12 Evaluate the limit lim x 0 sin (a-x) b.x Evaluate a limit using the Squeeze Theorem if…

A: Let's evaluate the limit.

Q: The function f(x,y) = 2x + 2y has an absolute maximum value and absolute minimum value subject to…

A: Maximum value is =16/5

Q: Find the solution of the differential equation y" + 10y' + 25y = 0 satisfying the initial conditions…

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Q: 3s + 8 .8s + 20 A f B) f f Ⓒ =e-4 = eft = e-2t (3 cos 2t - 2 sin 2t) (3 cos 2t - 2 sin 2t) (3 cos 4t…

A: Topic:- calculus    Note:- as per our guideline if more than one question uploaded than only first…

Q: x²+9x X-9 x+9 1) Given lim a) Evaluate the limit algebraically. Show all work in a clear and…

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Q: Consider the function f(x)=x 4−32x 2+11,    -3≤x≤9. The absolute maximum of f(x) (on the given…

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Q: 1) Given lim *²+9x x-9x+9 a) Evaluate the limit algebraically. Show all work in a clear and…

A: Here is the solution:

Q: Explorers on a small airless planet used a spring gun to launch a ball bearing vertically upward…

A: Derivate s with respect to t and then equate that to zero putting t= 40 sec

Q: Maximum Area An animal shelter has 128 feet of fencing to enclose two adjacent rectangular playpen…

A: Given perimeter of two rectangular fence is 128 feet. That is x+x+x+x+y+y+y=128 That is 4x+3y=128…

Q: 11. Use the rotated system to graph the following equation: 7x² + 2xy + 7y² = 24

A: To use the rotated sytem to graph the following equation.7x2+2xy+7y2=24

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

Q: Find an equation of the level curve of the function h(x, y) = 3 – x² - y² that passes through the…

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Q: Find the indicated derivative. Then find an equation of the tangent line at the indicated point on…

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Q: A taxi company in Indiana charges a flat rate of $5.00 for the first 2 miles, then a rate of $0.80…

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Q: Find the point (x,y), at which the graph of y = 7x² + 9x-7 has a horizontal tangent. ← The function…

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Q: Find the inverse transform of the given function of s. F (s)- A B C D E 1 2s + 16 f(t) = e-8t f(t) =…

A: Given the function: f(s)=1/(2s+16)

Q: For the given limit: lim x 0 1 a+x X a (a) show that limit leads to the indeterminate form and get…

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Q: 226 The isotope Ra has a half-life of 1,599 years. Given an intial amount of 5 grams the isotope,…

A: We need to find out the amount after 2000 years and after 20,000 years.

Q: Consider the function f(x) = x³ – 2x² - 4x + 1 on the interval [-1, 3]. Find f'(x). f'(x) = Find the…

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Q: Given f(x, y) fz (3, 2) = fy(3, 2) = = 2x + 6xy² - 3y, find the following numerical values:

A: Given query is to find the partial derivatives at indicated point.

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: 19. Translate the following limit notation into a sentence: lim(√x - 2) = 0 O A. The limit of √x-2as…

A: Given that we need to translate the following limit notation into a sentence.

Q: If x = (1.5,2.5), what is the smallest interval I = (4-ɛ,4 + ε) for which we can guarantee that x²…

A: Given that x∈(1.5,2.5) and I=4−ε,4+ε

Q: Use logarithmic differentiation to find (dy)/(dx) y = ((e ^ x)/(sin x)) ^ 3

A: We will find the required derivative.

Q: 1. Consider the differential equation 4 dt Sketch the direction field and several graphs of…

A: The given differential equation is: dydt=2-y2y2

Q: 1 Find all points (x, y) on the graph of f(x) = x³-3x² + 10x + 18 with tangent lines parallel to the…

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Q: A thermometer is taken from a room where the temperature is 24°C to the outdoors, where the…

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Q: Use the graph of the line given below to answer parts a) and b). a Find the slope of the line given…

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Q: 1) Solve the following inequality: a) using sign diagrams, b) Graphically. Show all diagrams and…

A: We need to find out the solution of the given inequality using sign diagrams, and graphically also.

Q: 3. Determine if the given is a plain mathematical expression (ME) or a mathematical sentence (MS)…

A: We have to translate into words.

Q: Explain why Rolle's theorem does not apply to the function even though there exist a and b such that…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the transform of the given function by use of a table. f(t) = e-4t 1 A F(6) ---¹²-4 B 4 F (8) =…

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Q: Can you please write out the soloution? So I can see the steps clearly.

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Q: The radius of a spherical balloon is measured to be 7 inches, with a possible error of 0.03 inch.…

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Q: a. У -1 0| y = x² + 2 2 X b. У у= y = 4x-x2 10 x с. -10 y =ex 3

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Q: 9. From "First Principles" show that if f(x)= == 2 x²-3' then f'(x) = - 2x (x² - 3)²

A: Given : f(x)=1x2−3

Q: The cost function for q units of a certain item is C(q) = 95q + 101. The revenue function for the…

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Q: 1. f(x)= 3x - 4; ƒf¯¹(x) = -2 2. g(x) = 5x + 12; g(x) = 57 3. h(x) = 4x² + 4x + 3;h(x) = 0

A: Since you have posted multiple subparts question in this question which are not interlinked so i…

Q: Find the area inside one leaf of the rose: The area is r = 2 sin(50)

A: We can find the area.