sec²(x) √2-3tan (x) dx

Q: Find the limits. f(x) = x + 4 (a) (b) (c) g(x) = x² lim_ f(x) = X4-5 lim g(x): X-5 = lim g(f(x)) =

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: We are given the initial value y(0) = 2. Substituting this value and solving for L{y} gives the…

A: Solution of given question is written in below steps.

Q: Σ k=1 20 Τ k!

A: We will use Ratio-Test.

Q: Question I The volume of the solid generated by revolving the region bounded by x² = 4y and y² = 4x…

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x²+x-1 6x²-3x -…

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Q: ∞<a=(a'l Find the local max & min using First and second Derivative 3 f(x) = 9+3x2 - 2x² 7 sou?

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Q: If the curve y = 4x², 2 ≤ x ≤ 5, is rotated about the x-axis, what is the integral that represents…

A: We can find the answer as below.

Q: I'm not understanding what the answer is here? 77 and 71? Because that is not correct.

A: A rectangular page is to contain 76 square inches of print. The margins on each side are 1 inch. To…

Q: Sketch the ellipse: Find the center, vertices, foci, eccentricity, domain and range. (x+1)² (y-3)² +…

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Q: B. Find the general solution of each of the following Higher Order LDE with cc 4. (D-4D³ +14D² -…

A: The given differential equation is D4-4D3+14D2-20D+9y=0

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 12e 1 + ²x |…

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Q: 2. Let f(x) = nx² - 2x + 5 and g(x) = 6x² - 5x + m. The functions are combined to form the new…

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Q: Find the solution of the following initial value problem. y(0) = 8, y'(0) = -55 : y" + 15y' + 50y =…

A: Given :y''+15y'+50y=0y(0)=8y'(0)=-55

Q: Solve 2 cos² (x) - 3 cos(x) + 1 = 0 for all exact angles x where 0 < x < 2π x= Write answers in a…

A: Solution of given question is written in below steps.

Q: H.w2: evaluate 0.5 0.5 sinxy dx dy, using the Ax = Ay = 0.25 1+xy

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Q: 10 Find lim f(x) given the graph of f(x) shown above. (If the limit does not exist, enter Ø.) 1-2

A: Find the limit from the graph

Q: 7η + 3η gn Σ΄ n=1

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Q: Suppose dy dx = 4ye³x. Answer the following. 1) Separate the differential equation, then integrate…

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Q: Without using a calculator, find all points on the following curve at which there are vertical and…

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Q: Suppose dn 1 dt 10n and n(1)-2. Answer the following. 8) Separate the differential equation, then…

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Q: a. In a geometric progression the sixth term is 8 times the third term and the sum of the seventh…

A: nth term of the Geometric progression , an= arn-1. Note : As per Our Guidelines , we can solve…

Q: Use the Integral Test to determine whether the series is convergent or divergent:   ∑1/n3

A: The give series is convergent...for detail...go through the solution...

Q: s+ Xh+ X 2² S dx ans 1. Y objut buisn

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Give an example of a function f (x) that has one positive derivative on (−1,0) and a negative…

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Q: If the function f(x) is a quadratic function, then f(x) must open x-intercept(s). and have ii The…

A: If function f(x) is a quadratic equation, Then f(x) changes direction once.

Q: 3. An amusement park charges $8 admission price (P) and averages 2000 tickets (T) sold per day. A…

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Q: 3. Find the total derivative of V with respect to X. V=3X³ +5Y²+6Z Z=4+5X Y=3X+6Z+5XZ

A: Given, V=3X3+5Y2+6ZZ=4+5XY=3X+6Z+5XZ

Q: A function y = f(x) and an x-value xo are given. f(x) = x + √√x; xo = 1 4 (a) Find a formula for the…

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Q: Find the work done by the force field F in moving an object from P(-3, 7) to Q(7,5). 2x Y F(x, y) =

A: To find the work done by the force field F in moving an object from P-3, 7 to Q7, 5. Fx,…

Q: Obtain the differential equation of: Circles tangent to the x-axis

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Q: Which of the following statements best answers the question? k If x= D(p): and n 1, constant for…

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Q: etermine the total differential of the function, f(x, y, z) = 2x³ + 5y¹ − 6z Odf = 6x² dx + 20y³dy -…

A: Please refer to the image below

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of t…

A: Please see the below picture for detailed solution.

Q: Find the derivative of 3 4x 2 - (²x - ²)² 2x You should leave your answer in factored form. Do not…

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Q: Find the constant a such that the function is continuous on the entire real line. -√8x², a = ax - 8,…

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Q: The graph below is the function f(x) -3 -2 Find lim 4 3 2 01 tro Find lim I→ 1- er 45 Find lim 2-1+…

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Q: The Cartesian coordinates of a point are given. (a) (-6, 6) Find the following values for the polar…

A: Polar coordinates

Q: an+1 = √√42+ an, a₁ = −42

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Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: From the given graph, we have to find the increasing and decreasing intervals.

Q: 3. y + 4y'+4y=0

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Q: Find an explicit solution of the given initial-value problem. y2 - y(4) = 4 x²-1 dy dx

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Q: If the region under the graph of +++/-/1 -- y = x² + from x = 1 to x = 5 is rotated about the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: (Dº − 4D³ +3D³),y = −27

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Q: Find the general solution of the differential equation y" - 10y + 125y = 0. NOTE: Use c₁ and ce as…

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Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An…

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Q: Consider the following. x = 3t + 8, y = 8t + 3 (a) Sketch the curve by using the parametric…

A: Given that      x = 3t+8  , y = 8t+3

Q: Graph the circle. (x − 3)² + (y+ 1)² = 16 R -8 46 DE 3 23 -6- -8- 61

A: Standard equation of circle is ÷ x-h2+y-k2=r2 Where,h,k=center of the circle and  r= radius of the…

Q: Find an explicit solution dyy² dx x² - 1 of the given initial-value problem. y(4) = 4

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Q: Evaluate e √ √x +4-2 √√x²-16 2√x 4+4ln√√x+4-√√x−4+C B 2√x−4+2ln(√x+4-√√x-4)²+C…

A: I=∫x+4-2x2-16 dx =∫x+4-2x+4x-4 dx=∫x+4-2x+4x-4 dx Lets substitute u=x+4⇒dudx=12x+4=12u⇒2udu=dx also…