tan x lim x-0 tan 3x

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Q: A circular arc has measure 13 ft and is intercepted by a central angle of 2pi/3 radians. Find the…

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Q: Given that the position vector, r(t)=√√3 cos (21)i +2 sin (21) j+cos (2t)k. Fin (a) the tangent…

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Q: Inspired by Fibonacci, let us define a new series of numbers which we'll call the Conway numbers: f₁…

A: The new series defined as, f1=1f2=3fn=fn-1+fn-2, for n≥3. Thus we have the sequence 1, 3, 4, 7, 11,…

Q: y² = 4-4x y² =4-x. and the x-axis. and 3. The region is bounded by the curve a) Find the volume of…

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Q: Use the properties of logarithms to write each expression in Problems 39-42 as a single logarithm.…

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Q: Suppose that an object initially having a temperature of 20°C is placed in a large temperature…

A: newtons law of heating T - TsT0 - Ts = ekt where T = temperature at time t T0 = initial…

Q: Question 4: Find the intervals on which f is concave upward or concave downward, and find the…

A: We need to find inflection point and concavity interval. As per Bartleby guidelines we can solve one…

Q: 1.) A division of Ditton Industries manufactures a deluxe stylus pens. Management has determined…

A: Topic - differential equations We are given, daily marginal cost associated with producing stylus…

Q: What are the domain and range of y= A Domain: {xx = R} Range: {yly & R} B Domain (yly = R} Range:…

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Q: 10.) f(x) = 2 cos x + cos2x on [0, π]

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Q: 6.) y= In x 2x

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Q: 9. Reverse the order of integration of To for de drdy.

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Q: Find the perimeter of the figure pictured below 7 3 Perimeter: 11 a

A: Recall: Perimeter of shape is Sum of the length of all its sides

Q: Assume a population of fish grows exponentially. A pond is stocked initially with 500 fish. After 6…

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Q: Use Newton's method to obtain the third approximation, x2, of the positive fourth root of 14 by…

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Q: Find the divergence and curl of the vector field Gir_u_z) = (2t + rosh(ry),2 – sinh y,rz – g xz -…

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Q: Find the limits of the following vector functions. 2t³-t² tan (2t)\ 21² (i) (ii) lim In 1-0 5t lim…

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Q: The graph of y=-3x²+2x+2/ is B G 5439 10 w ng. P X C D 543 9. 7 19 46 NO A A Ty m

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Q: . Let C be the parametric curve defined by x = tan-¹t Y In(1+²) a. Find and Do NOT eliminate the…

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Q: Consider the surface S₁ with equation 2²-4 = 22. a) Sketch the graph of S₁ in R³. Indicate proper…

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Q: T If f(x) = f'(x) = t³dt then

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Q: find a positive number B, such that the sum of B and its reciprocal, 1/B, is as small as possible.

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Q: 30. In right triangle ABC, A = 15°, c = 37, and ZC is the right angle. Solve the ha tenth, if…

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Q: An expression that occurs in calculus is given. Factor the given expression completely. 2(3x-4)…

A: To factorize the given expression

Q: Find the value of y for the given differential equation if the value of the arbitrary constants is…

A: Given :  y" -2y' +1 = (x+1) e2x      We can solve this differential equation with the help of online…

Q: 3. The function gis defined on the closed interval [-4, 8]. The graph of g consists of two linear…

A: Since you have posted multipart questions I can do first three subparts as per our company…

Q: Determine whether a linear function is increasing, decreasing, orconstant

A: We need to determine increase decrease or constant of a liner function.

Q: 5.) y = 2x² Inx linioq noiteltul 1 6.) y=- -

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Q: Consider the function f(x) = 4 sin x + x² + 5x - 10 with domain the closed interval [0, 2π]. (a)…

A: Consider the functionfx=4 sinx+x2+5x-10 with domain the closed interval 0, 2π.a To show that fx is…

Q: An equation of an ellipse is given. 16x² + 49y2 - 98y = 735 (a) Find the center, vertices, and foci…

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Q: A point P is equidistant from ( - 5, 1) and (4, - 4). Find the coordinates of P if its y-coordinate…

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Q: cup of hot coffee whose temperature is 200°F is poured in a room whose temperature is 70°F. Two…

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Q: Compute the volume of the region bounded by z=8−y^2, z=y, x=0, y=0 and x+y=1

A: We have given that a region R is bounded by the curve:   z=8−y2 , z=y , x=0 , y=0 and x+y=1     Here…

Q: Given f(x, y) decimal places. f₂( − 1, 4) = = 5x² + 2y², evalue the following to at least 4 V

A: Given: f(x,y)=5x2+2y2

Q: 3. y 20 X CORU smertx3 (ledol - ln x 10 MUCHIKB oviniet &momia to m

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 3. Find the derivatives of the vector functions: a) r(t) = (t sint, t², t cos 2t ) b) r(t) = ti+j+…

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Q: Question +00 Evaluate ez da. State the value to which the improper integral either converges or…

A: To evaluate ∫-3+∞e-x dx. To state the value to which the improper integral converges  or diverges.

Q: Find the midpoint of the line segment joining the points P1 and P2;P1 = (a, b); P2 = (0, 0)

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Q: Find the arc length of the parametric equations x=21/2 0st≤1. z=t;

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Q: (b) Find the particular solution of the following IVP. (ii) (16x + 5y)dx + (3x + y)dy =0 @(1,-3)…

A: Given differential equation:- 16x+5ydx+3x+ydy=0

Q: The half life of carbon-14 is approximately 5568 years. If we have 250 grams carbon-14 today,…

A: Please see the below picture for solution.

Q: 1. Find the equation (in center-radius form) of the sphere whose diameter has endpoints at A(1,4,-2)…

A: Let's find equation of sphere.

Q: Explain the Law of Cosines?

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Q: 10.) What is the largest slope of y= x² x² +1 on [0,10]

A: Given  y = x2x2 + 1 slope = dydx

Q: Find the area of the shaded region. f(x) = x3+3x2-9x-12 g(x) = 4x+3

A: f(x) = x3+3x2-9x-12 g(x) = 4x+3

Q: Find the volume of the solid generated by revolving the region enclosed by the triangle with…

A: The vertices of triangle is given as , 1,0 , 2,1 and 1,1 find the volume of solid generated by…

Q: 7.) y = 2xetim

A: Solution:

Q: 4:22 Determine whether the geometric series is convergent or divergent. 2 + 0.5 + 0.125 +0.03125 +…

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Q: Find the value of y for the given differential equation if the value of the arbitrary constants is…

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