2. (y²-xy) dx + x² dy 2

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim 7 cot(x) X-R

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Q: Define R as the region bounded by the graphs of f(x) = 6x - 5x² and the x-axis. Which of the…

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Q: Here is a right triangle with hypotenuse on the axis. 45 L 45° For the shaded horizontal strip,…

A: Given

Q: 2. 1 is equivalent to which of the following? - (A) 0.2 2 (B) 10 (C) 20% (D) all of the above (E)…

A: To convert a number to its equivalent percentage we have to multiply the number by 100 and add the…

Q: Find an equation of the line that satisfies the given conditions. Through (2, 9); parallel to the…

A:

Q: For the function f(x) = 4x² + x f(x + h) = f(x+h)-f(x) h = - 4, evaluate and fully simplify each of…

A: ** As per our guidelines, we are supposed to answer only one question at a time. Since you have…

Q: 1. Use the tables to find the z transforms of the following a. 6 b. 2 c. e 2n

A: As we know that, L{1} = zz-1

Q: Find (fg)(x). Find the domain of (fg)(x). (Enter your answer using interval notation.) Find (1)(x).…

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Q: 2. Draw a sketch of the piece-wise defined function -3, x≤-1 1,-1<x<2 4,2<x g(x)= and determine its…

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Q: Use the vertex (h, k) and a point on the graph (x, y) to find the Standard Form ( f(x) = a(x − h)² +…

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Q: 4. Non-calculator: Find a nonzero value for the constant k that makes f(x) continuous at x = 0: tan…

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Q: Draw a sketch of the piece-wise defined function -3, x≤-1 1,-1 < x≤2 4, 2<x g(x) =

A: Given :

Q: The table below shows where a continuous function and its derivatives are positive, negative and…

A: Given: The table below shows where a continuous function and its derivatives are positive, negative…

Q: this problem,  x = c1 cos(t) + c2 sin(t)  is a two-parameter family of solutions of the second-order…

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Q: The position function of a particle traveling in a straight line is given by s(t)= ln(-6t+12).  What…

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Q: x+1 x²-4 Find g(4), (ƒ · g)(2), ()(1), (g • ƒ)(1). Solution: 5. Given f(x) = x + 2, g(x) = =

A: Topic- Functions we are given f(x)=x+2,g(x)=x+1x2-4we need to find g(4),(f·g)(2),fg(1),(g∘f)(1)

Q: g(x) = and determine its domain and range. Graph: Domain: Range: -3, x≤-1 1,-1<x<2 4,2<x

A: To solve the following problem and sketch the graph

Q: Consider the triangle shown in the figure. y (cm) 11 10 8 7 6 5 4 3 2 1 0 012 3 4 5 6 7 89 10 11 x…

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Q: Simplify the sums: 2. 2(x²+2x+1)-2Σ₁2(+1)

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Q: Find the limits. ‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒ 3 f(x) = 2x²-3x + 41, g(x)=√x + 3 (a) lim f(x) X-4 = (b) lim…

A: To find the given limits of the function.

Q: (B) Find the particular solution to the differential equation: -X² when (-)-°

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Q: Find the Differential Equation for: The family of parabolas with center at origin and foci on the…

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Q: Find the x-values (if any) at which f is not continuous. If there are discontinuities, determine…

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Q: e tan² (20) = 3,0 ≤0 ≤n

A: To solve  tan22θ=3, 0≤θ≤π Remember : tanθ=tanα⇒θ=nπ+α, n∈ℤ

Q: 5 4 3 1 -1 -2 -3 -4 -5 п/2 П 3п/2 +X 27 Q

A:

Q: Express the function in the form fog. (Use non-identity functions for f and g.) G(x) = {f(x), g(x)}…

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Q: 1. Find partial derivatives of the functions X 1 + y B) f(x, t) = e¯t cos(x) A) f(x, y) = sin

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Q: Make a table of values for the equation. 4y = x² X -6 -4 -2 0 2 4 6 y Sketch the graph of the…

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Q: 15) 63n³ +81n + 18 17) -24a²b²+36ab - 60a

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Q: 16) 72x5-72x³ - 80x² 18) -77x²-21y+49

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Q: Consider the definite integral Then dz = f(z) du where f(z) = Then the most appropriate substitution…

A: The solution is given below, we will use substitute method to find the solution

Q: A ball is thrown upward from the ground with an initial speed of 15.4 m/s; at the same instant,…

A: A ball is thrown upward from the ground with an initial speed of 15.4 m/s, at the same instant,…

Q: Which of the following is the differential equation of the family of cubics defined by cy^2 = (x -…

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Q: Compare the functions f(x) = x7 and g(x) = 7* by graphing both functions in several viewing…

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Q: rob 6 Evaluste lem x-o x+cos ().

A: we will find the limit.

Q: Write the equation of the parabola. Directrix x+2=0 Vertex at the origin Oy² = 8x 0x² -8y y² = -8x…

A:

Q: Q4) Find the volume of the solid generated by revolving region bounded by curve y=√x and the line…

A: We will find the volume of the solid generated by revolving the curve y= sqrt x and the line x=4…

Q: Write the first five terms of the sequence: {√n²+ n-n} Determine whether the sequence converges, and…

A: We can solve this as follows:

Q: . This first example is one you may have seen in precalc. square sheet of cardboard is 3 meters long…

A: To find out the volume of the remaining box.

Q: 1. Introduction 1. For the differential equations in parts (a)-(c), do the following: (i) Determine…

A: We have to find order and linearity of DE.

Q: Simplify the sums: n 1. Σ ,(i+1) + Σ(1-1) =1

A: on solving this we will get

Q: 1 2 -1 -2 6 V = 8 The graph above shows the base of an object. Compute the exact value of the volume…

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Q: 10. lim x³ +5 3 X-∞ 2x

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Q: 2x 6. f(x) = 2 + 3

A: Solution :6.fx=2xx+3limit definition of derivative…

Q: Find the limit. (If an answer does not exist, enter DNE.) lim x→0    [[1/(5+x)]-(1/5)]/x [1/(5 + x)]…

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Q: Use Part II of the Fundamental Theorem of Calculus to evaluate the integral. So (cx³ + dx² + e) dx…

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Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

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Q: f(x) = @tann + In (sec x) - ex at x = T

A: We know that general formula of derivatives is -  d(lnx)/dx = 1/x ; d(tanx)/dx= sec2x d(secx)/dx =…

Q: 5 On March 1, 2019. Fox Bitiness reported that the cheapest seat for the Philadelphia Phillies home…

A: Given information: The older value of the cheapest ticket = $44 The new value of the cheapest ticket…

Q: 2. Verify which of the following functions are the solutions of the differential equation x" - 4x +…

A: The given differential equation is; x''-4x'+4x=et.