Given the curve y = x' and the line y = 4x in quadrant 1 Find the abscissa of the centroid X of the region bounded by the curve and line.

Q: Using Lagrange multiplier method to find the maximum and minimum value of the function f (x, y) = x²…

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Q: Calculate the left rectangle approximation of 3x- dx using five subintervals.

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Q: sec (3x). tan (3x) da 1 sec (3x) + CO 3 sec (3x) + CO 1 tan (3x) + CO tan (3x) + CO

A: We can answer the question as below as below.

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A: Given :f(x)=x4-2x3+1

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A: We have to determine whether the given sequence an converges or diverges. Also, find the limit L.…

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Q: PROBLEM. dz dz and dy 1. Suppose z is a function of x and y, and tan Vy² + x² = z®e©y. Solve for %3D

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Q: Sketch the graph of a function f with domain [1,5] satisfying all the following conditions: •…

A: This question can be solved using the concept of nature of graphs.

Q: Write each of the other trigonometric functions of e in terms of cos(@). (Enter your answers as…

A: We can solve this as follows:

Q: Suppose Im(f(z)) = 6x(2y -1) and f(0)= 3 -2i, f(1) = 6- 5i. Find f(1 + i)

A: Complex function

Q: 13 the graph of f(x) The sketch 1.0 is the graph off'(x), find the interval on which f(x}is concave…

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Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

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Q: dz dz and ду Suppose z is a function of x and y, and tan Vy² + x² = z*e®y. Solve for

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Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = x2 + 1, y =…

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Q: Evaluate the following limits or explain why the limit does not exist lim as x approaches 0…

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Q: EXAMPLE 4 Solving an Equation (Complex Roots) Find all complex number solutions of x' –1=0. Graph…

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Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). A(3-7) sin(2u) = cos(2u) =…

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Q: Next question Solve the system. Use any method you wish. x? + 2y? = 29 4x2 - y? = 10 What is the…

A: We need to solve system of equation.

Q: Sind Double în tegrals t he area bounded curre y =メ2+5, 2imeメニル

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Q: If a = (-6, 12, -9), b = (2, -16, 18), and c = (28, -14, 3), what is %3D %3D (51, 0, -24) (57, -48,…

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Q: Seln (9a2 -6x+4) xda 9.

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Q: f(æ) = / t2 – 9 dt 1+ cos? (t) At what value of x does the local max of f(x) occur?

A: Given: For the local maximum value of f(x), we must have f'(x) = 0. Here,…

Q: 1.1 Exercises In Problems 1 Q-120, a differential equation is given along with the field or problem…

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

Q: nP 00 クの In=1 2+n3

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Q: Соpy of The global minimum of f(x) = x³ – 4x over the interval -2< x<3 occurs at what value of x? O…

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Q: Solve the system of equations. If the system has no solution, say that it is inconsistent. 2х -…

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Q: Prove that 17 is the only prime number of the form n- 64.|

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Q: Solve the system of equations. If the system has no solution, say that it is inconsistent. X + y - z…

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Q: Learning Task: Determine the volume of the solid that will be generated by revolving the area…

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Q: Consider the function g defined by 1 g(x, y) : = cos (Tx T) + log3 (x - y) Do as indicated. 1.…

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Q: Evaluate the following limits lim as h approaches 0 (h-2)^2-4/2h lim as n approaches infinity…

A: The given limit,      limh→0h-22-42h Note:     Multiple questions are given, we are answer with only…

Q: S (1+ 3x)*dx

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Q: 2x2 If we approximate f(-/4.1,/49.1)' Suppose we have a surface f (x,y) ,which of the following is…

A: I have appended the formula used in the solution part.

Q: 4. A decorator, who is a monopolist, makes two types of specialty picture frames. From experience,…

A: Let's find.

Q: Find the radius of convergence and the interval of convergence of the series. n!x" 1.3.5 ... (2n –…

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Q: is no solution for p

A: D.

Q: Find the area between the curves y=|x- 4 and y=-+4 . y=\x=4| 2 O 120 sq. units O 48 sq. units. 64…

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Q: Given the vectors v and u, answer a. through d. below. v = 2i + 3j – 6k u = 5i + 12j

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Q: If P(t) is measured in dollars/hour and t is measured in hours, what are the units of P'(t)? O…

A: Given P(t) = dollars/hour P'(t)=d/dt(dollars/hour)  We are derivating with respect to time

Q: Differenticte y= (SN( 3))/ (4t 5cos (2x))

A: Given :y=sin(3x)4+5cos(2x)

Q: Question #7 C14: “Find indefinite integrals using basic antidifferentiation rules (other than…

A: As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: Estimate f(x) = 2x2 the area under the graph of the function from x = 2 to x= 19 by a Riemann sum…

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Q: DETERMINE THE APEA UNDER THE PARA HETRIC CURVE GIUEN DY THE FOLLO WING PARAMETRIC EQUATIONS. x=2 (6…

A: We have to find the area under the curve.

Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: 1. Determine whether each of the following series converges absolutely, con- verges conditionally or…

A: answer is in next step  . as per guideline i can answer only 3 subpart .

Q: Which angle has a negative sine value and a negative cotangent value? 3. 7 8 9TT C. P. 3. 5

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Q: Evaluate the line integral. The simple curve is C is y = x² starting at (0, 0) and ending at (1, 1).…

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the giveN…

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Q: Find the minimum and maximum values of the function y = 8/x2 + 1 – 7x on the interval [0, 8] by…

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Q: Find the area under the graph of the function over the interval given. 18) y = 2x +7; [1, 5] A) 18…

A: We can find the area as below.