Find the limit: limx→ −3 [√x^2 + 16 + 2 sin(pi) − 3e^3^+x

Q: Find the area of the segment cut off from the curve y = sin x, 0 ≤ x ≤ ¹ by the line y = 1/√2. 3r 4…

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Q: Find the DE of each of the following by eliminating arbitrary constants. Reduce your final answer in…

A: Concept: Differential equation: Any equation with one or more terms and one or more derivatives of…

Q: 10. lim x³ +5 3 X-∞ 2x

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Q: Prove the identity. cos (x-y)-cos(x+y)=2 sinx siny Note that each Statement must be based on a Rule…

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Q: Prove the following mathematical ?x аф -у, ӘӨ дz relationships: f sin 0 r

A: According to the Bartleby guidelines, I'm solving the first one, please repost the other question…

Q: Find the maximal value of delta >0 such that, for every x, if 0<|x-2|<delta then |5x-10|<1.

A: Here, given that:5x-10&lt;1 To find δ&gt;0 such that 0&lt;|x-2|&lt;δ

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A: We need to find out the integration of the given integrand.

Q: A ball of radius 12 has a round hole of radius 9 drilled through its center. Find the volume of the…

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Q: Find the arc length of the function y = x2 + x - 2  on the interval [-2,1].

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Q: A team of dodgeball players wins their game and goes out for ice cream. They all get a sundae with…

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Q: Write the radical expression using exponents. 9   62 9 power square root 6 to the 2 power

A: Given expression,  9 power square root 6 to the 2 power  to be written as a radical expression…

Q: Evaluate by Beat function: 1 = 5 x²-1 dx 1 + x4 Hint: Bixig) = ] _*-1 ans: (1+tjxty 1| + Sin Ta dt

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Q: Find a vector parametrization of the circle of radius 3 in the xy-plane, centered at (4, -1),…

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Q: Match the properties of a circle in Column A to the Equation of the circle in Column B. Then pick…

A: Let's analyze the column A first. (1) Center at (3,-3) , radius of 4 Now we know that the equation…

Q: I cos (x) sin(x) dx A. (sin²(x)) + C 2 B. (sin² (2x)) + C 2

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Q: Find the exponential function f(x) = Cbx whose graph is given. f(x) = y WebAssign Plot (3, 32)

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Q: QI complet the table: X f(x) 1 2.71828 L2(x) = LI(X) = (x-xo) (X-X2) (X1-X 0) (X₁-92) (X-X₁/(x-x2…

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Q: Let A(z) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

A: Topic-Area bounded by curves

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

A: we will find the limit.

Q: At what interval of x will the function continuous, f(x) = { 3x²-x-2 x-1 0, x= 1 ", x#1

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Q: SHOW YOUR SOLUTION: Solve the constant of integration of the given differential equation xdi+6ydy=0…

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Q: 9. (a) Use a graph to find a number 8 such that 1 In(x - 1) (b) What limit does part (a) suggest is…

A: We need to use the graphing utility to find the value of 'δ', to satisfy the following condition,…

Q: 3 2 + 1 -H 234 -5 2 3 V = 91 The graph above shows the base of an object. Compute the exact value of…

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Q: 3) show that the following limit C lim √√x y²/(x+y³) (x,y) →(0,0)

A: Given; Lim(x,y)-(0,0)x1/3y2/(x+y3).

Q: Sketch a rough graph of a function with all the following properties: f(0) = 6,f(-2) = 0 the…

A: Given information f0 = 6,  f-2=0 Horizontal asymptote:- y=7 Vertical asymptote:- x=-4 f'x&gt;0  and…

Q: Solve the differential equations 1. (3x²2y²)y' = 2xy 2. (y² - xy)dx + x²dy = 0

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Q: mmas: 5 4- 3 54 -3 -2 -1 2 1 7 -2 -3 بنا the equations of the ver 2 3 4

A: We know x=L is the vertical asymptote of a function y=f(x) if the limit of the function (one-sided)…

Q: if x = 0 11. f(x) = x - 1 if 0 < x < 1 In x if x = 1 et

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 4. f(u) = 3u² +2u-6, g(x) = x + 2 5. f(u)=u², g(x)=x²-₁ Find the indicated composite function 6. f(x…

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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: Which of the following is the differential equation of the family of circles with center at (3, 2)…

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Q: Eliminate the arbitrary constant. y=Ax² + Bx³ 7xy "-x²y + 15y = 0 A (В) B (C) D x²y-7xy "+ 15y = 0…

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Q: 1) Find the vertical, horizontal, and oblique asymptotes, if any, of f(x) = x²+1 x2-5x-14

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 4. Find the value of that makes the function continuous. f(x) = {a√x + 1 {a√x + 1 x ≥1} - a x<1)

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Q: Find the standard form of a circle given the following conditions. Sketch the graph. 1. x²+y²-25=0…

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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: a. b. Range: Domain: e. . C. Intervals increasing: d. Intervals decreasing: f. Supply the following…

A: As per the company guidelines We can first three parts  . Please understand. Kindly repost the…

Q: 1.x*-4xy=c 2.y=C₁x+C₂e-4x Hint: multiply by ex

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

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Q: I'm 4-√3x + 1 2=75 2²²-7x+10

A: We can solve this as follows:

Q: 9. bx y = (a + x)

A: Please see the below picture for detailed solution.

Q: A. by extracting square roots. 1. x2 = 169 2. 9b2 = 25 3. (3y - 1)2 = 0

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Q: Which differential equation follows the form A (x) dx +B(y) dy=0? (A) B dy dx dy y -2y=0 - 2dx=0 C)…

A: option (C) is correct. see below the explanation

Q: Find the differential equations for each family of curves under the following conditions: a, b)…

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Q: (i) x(³-5) dx + Solve the following p² In(x + 2) dy = 0

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Q: Obtain the differential equations of the following by ELIMINATING ARBITRARY CONSTANTS. 1. y(x) =…

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Q: Mike is filing as the head of a household. Her taxable income is $61,014. Use the Tax Table, Exhibit…

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Q: Find the domain of each function. (Enter your answers using interval notation.) (a) f(x) (b) f(x)

A: Topic- Domain of a function

Q: If f(x)=√x find limx-4 f(x)-f(4) x-4

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Q: 7. f(¹) where f(x) = *-1 x

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