sec® x dx cot x SE V

Q: L'Hopital's rule of 3*+1 2*+ x lim.

A: Given that: limx→+∞3x+12x+x

Q: y = |x + 4|

A: Given: - The equation is, y=x+4 Tp sketch: - The graph of the given equation by point plotting

Q: Find carlesian equation of the following. the 3-Sine 2. r °cas (20)= 4 r CO

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Q: QUESTION #3 DRUG DOSAGES Thomas Young has suggested the follow- ing rule for calculating the dosage ...

A: This is a problem related to derivation of the function.  Here we will first differentiate dosage wi...

Q: piece of wire 22 m long is cut into two pieces. One piece is bent into a square and the other is ben...

A: We are asked to find the maximum and minimum of the area 

Q: A ship carrying 1000 passengers is wrecked on a small island from which the passengers are never res...

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Q: Find the area of the largest rectangle that can be inscribed in the ellipse x2 1. b2 +

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Q: Calculate the derivative of the function. f(x) = (2x2 – 9)-1

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Q: 2. y= cos (x³ + 1)

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Q: Given the polar curves r = 1- 2 sin 8 and r = -4 sin 8. Do the following: 1. Sketch the curves on th...

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Q: Determine the value/s of D if the graph of the equation 4x 2 + y 2- 4x + Dy = 1. an ellipse; 2. an e...

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: Evaluate lim Vx-2 x→4 _Vx3_8

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Q: Evaluate the limit. Vx2 lim x² + 3 3x2 + 1 x- 00

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Q: A2: DIFFERENTIAL EQUATION: Homogenous Linear Differential Equation with Constant Coefficient # 5 onl...

A: 5. D4-2D2y=0

Q: Let z = f(x,y) be a function with continuous second partial derivatives throughout R2. Assume that f...

A: RECALL: Suppose (a,b) is a critical point of f(x,y) and the second order partial derivative are cont...

Q: (3'0)1d メニ THE INDEN i3) FEND EQUATEON

A: Question is solved.

Q: The differential equation below models the temperature of a 94°C cup of coffee in an 18 C room, wher...

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Q: An airplane is flying overhead at a constant elevation of . A man is viewing the plane from a positi...

A: Basic application of derivative problem

Q: Find carlesian equation of the followina. the 3-Sine 2. r cas (20)= 4 to 4sin (26) 2- 3.

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Q: The graph below shows the percentage of nationalities A and B in a certain country x years after 200...

A: topic - Linear equations

Q: Evaluate: x In a dx

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Q: The transformation of a function f(x) into a function g(x) is given by g(x) = Aƒ(Bx + H) + K. where ...

A: Topic = Function

Q: Verify the following general solution, then solve. Find the particular solution to the differential ...

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Q: Let h(x) = f(x)*g(x), and k(x) = f(x)/g(x). g(x) has points (-2,-1), (-1,-2), (1,0), and (3,2). f(x)...

A: see below the answer

Q: Let g(x) = *-f(x) S(x) find g'(1), if f(1) = 4 and f'(1) = 2 c. - d. а. 2 b.

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Q: Find the slope of the line tangent to the graph of y= sin3x at x=pie/6

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Q: A water tank is in the shape of an inverted cone (the vertex of the cone is the bottom of the tank)....

A: Set up the definite integral.

Q: The monthly sales of Sunny Electronics' new sound system are given by g(t) = 2,000t - 50t2 units per...

A: Given query is to find rate of change of sales , price and revenue.

Q: What is the exact value of cos (tan¬'m) where m = :? 12 Provide your answer below:

A: if m=512 To find: the value of costan-1mSolution :let tan-1m=θm=tanθtanθ=512=pbh=p2+b2h=52+122=13cos...

Q: The table below shows some ordered pairs for an exponential function f. x 0 1 2 3 f(x) 51.2 ...

A: Growth factor is the ratio of any two successive measurements.

Q: 4. Write a formula for a quadratic with the given features: x-intercepts (-3, 0) and (1, 0), and y i...

A: We need to find quadratic formula.

Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y ...

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Q: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1, and y-intercept v15

A: A hyperbola with foci at (1,0) and (-7,0), x-intercept -1 and y-intercept 15

Q: 1. SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos'x sin x dy + (y cos'x- 1) dx = 0 2. xy' =2xex ...

A: As you have asked for question number 5 only, so I am solving that.   We know, ∫xdx1+x2=1+x2+C, C is...

Q: 3. The shaded region shown below is a sector of a circle of radius 5 centered at the origin. Set up ...

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Q: 25. Find an equation of the plane through the line of intersection of the planes x – z = 1 and y + 2...

A: Equation of a plane P that passes through the line of intersection of two planes P1 and P2 is given ...

Q: Use substitution to convert the integral to an integral of rational functions. Then use partial frac...

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Q: Rewrite the logarithm as a ratio of common logarithms and natural logarithms. log7 69 (a) common log...

A: We can write the answer as below.

Q: State the type of the quadratic surface: æ² + () + 2? = 1 1. Hyperboloid of two sheets 2. Hyperboloi...

A: Solution ) given x2 + (y/8)2 + z2 = 1 We can write this equation  x2/12 + y2/82 + z2/12 = 1 the gene...

Q: Find the equations of the tangent line and normal line to the curve y = x3- 2x 1+ at the point (0, 1...

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Q: Use a tree diagram to write out the Chain Rule for u = f(x, y), where x = x(r, s, t), y = y(r, s, t)...

A: Given u=f(x,y) where x=x(r,s,t) and y=y(r,s,t) 

Q: Use substitution to convert the integral to an integral of rational functions. Then use partial frac...

A:

Q: 2. Find the average value of the function y = x sin(2x) on the interval [0,7 / 2]. ll the steps in t...

A: To determine the average value of the function y=x sin2x on the interval 0, π2.  

Q: The table shows the position of a cyclist. t (seconds) 0|123 4 |5 s (meters) 0|15 10 17 25 (a) Find ...

A: Given query is to find the average velocity using the table.

Q: sin ( 5z) If y = (5x) then dy dx (Be sure to express your answer in terms of x)

A: To find derivative, we will first take logarithm on both sides and then differentiate it .

Q: Step 3 We have determined the following. 4x2 - 3x g(x) h(x) = ex %3D %3D = 8x - 3 dx [nc»] • ex xp A...

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Q: Determine the second derivative of y = v5x² + 1 Determine the third derivative of y = (x² – 1) (2x3 ...

A: Second derivative of5x2+1 is  d2dx25x2+1

Q: e+ = e2a-y C = e? 1 C = - O Option 4 Option 2 C =-e

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Q: Evaluate sin 2x sin 4.xdx 2 b. sin 3 2x + C 3 1 a. sin ' 2x+C 3 c. cos' 2x+C 1 с. 3 d. -cos 2x +С 2

A: To evaluate the given integral: ∫sin 2x sin 4x dx