■ If y = Σº。 (k + 1) x²+³ then y² = 0 k=0 k=0

Q: 31. (a) Sketch an accurate graph of the cosine on the domain (-27, 27). Use this to sketch an…

A: We have to draw the graphs of the following

Q: 1) Find the area of a Q(-2,-4,1) & R(3, 6, 6). triangle PQR, with vertics P(-2,-6,-

A: To solve the following

Q: (b) L-¹268 32-68+12.

A: Given that :      L-1[(s-3)/(s2-6s+12)]       We find laplace inverse transform.

Q: 2. Let F(x, y) = yi − zj + zk be a vector field. Compute [[F - ds, where S is the F. hemisphere 2² +…

A: We have a vector field as given below   F→=yi−xj+zk Where S is the surface bounded by the…

Q: Solve the following Laplace transform by using the definition

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Q: Use the Laplace transform to solve the given system of differential equations. dy dt dy dt x(t) =…

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Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

A: Solution: Given function, f(x)= 3/x + 1 ,[1,5] n =4

Q: Sketch the given plane vector field and determine its field lines. F(x,y)=xi-yj Which of the…

A: We have to find the vector filed of the f

Q: This example is for practice in solving a 2nd order ODE, which is a necessary ingredient for solving…

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Q: Use polar coordinates to find the volume of the given solid. Bounded by the paraboloids z = = 6x² +…

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Q: Find the values of t if Solve 144t³ ÷ 4t-4 √(9t8 (9t8 x 27t7) 314

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Q: The demand function for a certain bran of CD is given by = -0.01x² - 0.1x + 37 p=

A: The  demand  function for a  certain  brand of CD is given  by p = -0.01x² -0.1x + 37  where p is…

Q: A 12-ft-tall fence runs parallel to a wall of a house at a distance of 22 ft. Find the length of the…

A: P.S please ignore the dotted line and labelling at dotted line in diagram

Q: 47. fin "In (ln x)ln xdx X

A: To find out the integration.

Q: Find the following using the table below. 1 2 3 4 3 1 4 3 f'(x) g(x) 1 3 2 4 g'(x) 4 1 N|2|2 x f(x)…

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Q: Evaluate the double integral. y 11₁ x ² ² + 1 dA, D = {(x, y) | 0 ≤ x ≤ 9,0 ≤ y ≤ √√√x}

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Q: Sketch the graph of the following function Paint 0≤t<π/2 π/2 ≤t≤T f(t) = period ㅠ

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Q: X 18 cm W The area of triangle WYZ is 60⁰ c) Find the value of p. Do ²3 17 cm 15 cm 8° Y Figure 1…

A: XY and angle We can use cosine and sine rule for this.

Q: dx x(x²+8)² S 2

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Q: The rate at which a battery charges is slower the closer the battery is to its maximum charge Co.…

A: Time required to charge a fully discharged battery is given by formula t=-k ln(1-CCo)----1 Where Co…

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

A: Given: A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at…

Q: Consider the function f(z) = ¹ (a) Fill in the following table of values for f(z): I= f(z) -0.1…

A: Given :                                                   f(x) = 3x-1x Table of values for x :  x…

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = logg(12 - 4x)

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Q: Sketch the curve. r=2 sin 8 1 2 -1 OO O O -1 1 -2 -1 O Find the area that it encloses. 1

A: r=2-sinθ

Q: Let f(x,y) = 2x³ + 6xy-3y2 +2. Then the critical points of fare: a. (0,0) and (-1,-1) 6. (1,0) and…

A: The given function fx, y=2x3+6xy-3y2+2. We have to find the critical points of the function.

Q: 3 [²x². 1 x² dx, N=4

A:

Q: A company's marginal cost function is MC(x) C(x) = - 1 and its fixed costs are 50. Find the cost…

A: Note :- According to the company policy we can attempt only one question so please upload the next…

Q: Find the derivate of the function: a) • f(x) = 5x + 4 f'(c) = 2 d) • f(x) = (5x²³²-4) (8X+S) b)•…

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Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

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

Q: The marginal cost of a product is modeled by dC dx C = where x is the number of units. When x = 15,…

A: For a cost function = C( x ) Marginal cost function is given as dCdx Given marginal cost function…

Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = t²…

A: We have to find the displacement and distance travelled in the given interval. We will use…

Q: Name Period 4. Find all angles, 0 ≤0 < 360°, that satisfy the equation below, to the nearest soth of…

A: Here given that :- Sin(θ) = √(3) /4. We find all angles , 0&lt;=θ&lt;360°

Q: Complete the following table by indicating the secant slopes joining the points whose abscissas are…

A: The secant line is the line that cuts the curve at two points. f(x) = 2x2 - 1 If a line passes…

Q: Sales analysis. The rate of change of the monthly sales of a newly released football game is given…

A: The rate of change of the monthly sales of a newly released football game is given by  S'(t)=…

Q: ce the following integrals: 3√arctan x 1+x² dx

A: To solve the following

Q: 2. (a) Calculate the exact length of the curve r=1-sin@ for 0 ≤0 ≤ 2T.

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Find a potential function f for the field F. F= (Inx+ sec 2 (2x+2y))+ sec 2 (2x+2y) ++ 3y 3z 2x2) 1*…

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Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the…

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Q: The are of the parabola y = r² with 0≤x≤1 is rotated about the y-axis. Find the area of the…

A: Given data:- The surface area bounded by rotating the arc of a parabola y=x^2 with 0≤x≤1 about…

Q: What is the 9th term of the sequence ªn =(−1)²”(n − 10), a

A:

Q: Find a potential function for F. 4x, 1-2 +1-2x² {(x,y): y>0} F=i+ y *** A general expression for the…

A: The given vector field is: F=4xyi+1-2x2y2j          x, y: y&gt;0

Q: 1. Evaluate the integral using substitution. TC/3 π/6 cos*x sin x dx

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Q: Taking into account identical letters, how many ways are there to arrange the word PARVAMONSTRA that…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: 1. Differentiate the following f(x) = (2x) (e4x)

A: f(x)= 2xe4x Find f'(x)

Q: 1) Find the area of the triangle P(-2, -6, -1), Q (-2,-4, 1), R(3,6,6)

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Q: y-values 9 8- 7 6+ 3 2+ 1 If f(x)= f'(1) = | g(x) h(x)' g(x) 2 3 x-values then I y-values 10 w 2 1…

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Q: 7. Express the Cartesian coordinates in polar coordinates in two different ways. (2,0) b. (-1, √3)…

A: Express the cartesian coordinates in polar coordinates in two different ways a) (2, 0)  b)…

Q: Find the work done by F over the curve in the direction of increasing t. F = 3xyi+yj-4yzk r(t) =…

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Q: 9. J (x – 2)(x – 4)

A: