Q1/ Find of the following functions dx 1) y=²-1 and x=21+3

Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

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Q: 1 @ lim (7² noo + 2 + 20 FABER-CASTELL Sw ☺ com nystarzen Tut 2 + + n- 24

A: as per company guidelines we solve only first question when multiple question being posted

Q: Question Find the equation of the horizontal line that contains the point (–9, 1). Provide your…

A: We can find the answer in the below steps.

Q: 1. Find the roots of the following quadratic equations using the prescribed method. a. 9x² +6x+1=0;…

A: To find out the roots of the quadratic equation.

Q: Identify and sketch the domain of f(x,y) = √4x²-y In x

A: We know, The function ln x defined for x≥0 The function x-a is defined for x≥a

Q: Classify each of the following differential equations by stating the order, the dependent and…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: For the function: f(x) = 2x² - 2x - 1, find and simplify f(x) = f(a) x - a a. b. f(x +h)-f(x) h Get…

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Q: Decide whether the limit exists. If it exists, find its value. lim f(x) x-1 2+ Ⓡ C 1 2

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Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

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Q: 40 The sum of the reciprocals of two consecutive even integers is. Find the values of the integers.

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Q: 1. Find the minimum amount of fencing required to surround a rectangu- lar area of 100 square feet.

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Q: The limit represents the derivative of some function f at some number a. State such an f and a. (1 +…

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Q: determine the general equation of the tangent plane to the surface of parametric equations: x = 1 +…

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Q: Evaluate_lim_ (√9x² − 5x +1+3″

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Q: [] x(y-3) ] (y-3) dx 4y FIND DE.

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Q: The given function its partial fractions as follows: is expressed in terms of x² (1-x)(1+x²) ² A 1-x…

A: Given :x21-x1+x22=A1-x+Bx+C1+x2+Dx+E1+x22

Q: Verify if the following DEs are homogeneous, if it is determine its degree and solve the DE 4.xdy…

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Q: Luke is now twice as old as Alex. Four years ago, Luke was three times as old as Alex then. How old…

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Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.…

A: Given ,the representation of even number is 2k, and that for odd is 2k-1 or 2k+1,for some integer k.

Q: variables to be contiñuous al a polm the function are the same at this point; that is, lim f(x, y,…

A: The function is given x2y25-x2-y2.

Q: Decompose 4 x³ + x²

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Q: Identify and sketch the domain of f(x, y) = x-y In (1 + y - x²)

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Q: 5. Use derivative rules to find the derivative of h(x) = 3f(x) - 2g(x) - x² f(x) + Show steps for…

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Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

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Q: EXAMPLE 4 Find the derivative of the function f(x) = x² - 3x + 5 at the number a. SOLUTION From the…

A: Finding the derivative using the definition

Q: 3 2 1 1 2 3 4 5 6 7 8 9 (Give exact answers. Use symbolic notation and fractions where needed. Enter…

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Q: Exercise 1 Find the differential equations of the following by eliminating the arbitrary constants:…

A: I am attaching image so that you understand each and every step.

Q: QUESTION: 2. (3D — 1)y = 6e³x ANSWER: 2. y = ₁₂ex/3 + = 4 ³3: e³x

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Q: b. f(x) = 4x² x²+49

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Q: Find the degree of the following differential equations: a. y'" - 2(y")³ = (y')² + 3y b. √√y²-(y')³…

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Q: se implicit differentiation to find the equation of the tangent line to the function defined…

A: Given x3-x2y5=-2,point (-1,1) The objective is to find the equation of the tangent line to the…

Q: and the 1st derivative of x³ + y³ - 6xy = 0

A: Topic: - application of derivatives

Q: A mummy was recently discovered. It now contains 66.7% of its original Carbon 14. About how old is…

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Q: Let f(x) = 8x²+x+2. Then according to the definition of derivative (8(x+h)^2+x+h+2-(8x^2+x+2)) f'(x)…

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Q: Evaluate lim x-2+ 2x + [2x] x² + x − 2 2x + [2x] 2 x² + x - 2 and lim x

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Q: Find an equation for the line tangent to the curve y =(√x - 9)(x5 + 8) at x = 1. y =

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Q: In a certain city the temperature (in °F) t hours after 9 a.m. was modeled by the function T(t) =…

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Q: 3y(x²-1)dx + (x³ + 8y - 3x)dy = 0; when x = 0, y = 1.

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Q: lve (a) da 2y X x²

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Q: Solve (a) (x+2y) dx + (2x - 5y) dy = 0 (0)

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Q: Obtain the DE of the family of circles with center on the line y=x and passing through the origin.…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 1. The following table gives the estimated stature (length, in cm) of human fetuses at various times…

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Q: 4. If the line normal to the graph of f at the point (1,2) passes through the point (-1,1), then…

A: From given two points we can find the slope of normal

Q: 94. S 1/2dt sint 1+t² 38 WO (Hint: sin(-t) = -sin(t))

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Q: A truck starts off 180 miles directly east from the city of Hartville. It travels due south at a…

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Q: (b) Find an equation of the tangent line to the curve at P(2,-4). (a) The slope of the curve at…

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Q: Evaluate the limit: lim h→0 Question Help: Video Submit Question (-3+h)²-9 h Jump to Answer

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Q: A bird species in danger of extinction has a population that is decreasing exponentially (A=A₂e). 5…

A: A = A0ekt = population t years from 5 years ago   When t = 0, A = 1660. So, A0 = 1660   A = 1660ekt…

Q: Write the Cayley table for the group U(15).

A: As per the instruction, we will be answering the first one.

Q: 2-4 X 3 3.9 3.99 4 4.01 4.1 5 f(x) 9 10.8 10.99 9 11.02 11.1 14 lim f(x) = x-4 Submit Question Jump…

A: Topic:- function