5. (5 + j2)5+j2

Q: Find the area of the region bounded by: r 98 cos 20

A: Solving

Q: Find the least squares solution of the system Ax = b 2 1 -2 A = 1 1 b = 1 2 X =

A:

Q: Use the first fundamental theorem of calculus to find F'(x) F(x) = cosr' dt

A: In this question we have to find F'(x).

Q: Question 7 Find the area enclosed by the curves y=2r², y=2\/x,x=- and x = 1 A 45/51 B 59/76 49/96…

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Q: Find the values of x for which the given geometric series converges. Also, find the sum of the…

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Q: QUESTION 12 Let S(x) =x2. Find the producer surplus at the equilibrium. x =3. $2 $ 27 $9 $ 18

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Q: Suppose that f '' is continuous on [1, 3] and f(1) = 3, f(3) = −4, f '(1) = 5, and f '(3) = 4.…

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Q: 9 Select the conic section represented by the equation. 4y - 3 = 0 parabola line ellipse…

A: We will find the conic section which is represented by the equation.

Q: Find the Taylor polynomial p1 (x) for f(x) = 8x2 at x = 5. %3D Provide your answer below: P,(x) = O

A: To find the taylor polynomial p1(x) .

Q: Show that the limit does not exist. xy? - 1 lim (Ky)→(1,1) y-1

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Q: There is a line through the origin that divides the region bounded by the parabola y 7z 5x and the x…

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Q: 7)Debermine whether the inkegra) is covergant. Pivergank If its convergant, evaluate it.

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Q: Question Find dy and evaluate when x = 3 and dx = –0.2 for the function y -2x2 + x - 4. Provide your…

A: We have to find the value of dy.

Q: Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area x?…

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Q: Calculate the following derivative if h(w) = Vwe3w. (Use symbolic notation and fractions where…

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Q: Find the area of the shaded region shown in the graph. y-13 sin e 13 cos x The area of the shaded…

A: Given: Let us first find the common element.            13sinx=13cosx⇒13tanx=13⇒tanx=1⇒x=π4

Q: t the end of 8 years, Beth will have approximately S Do not round until the final answer. Then round…

A: Use half yearly compounded formula.

Q: Select the conic section represented by the equation. 16x 2 - 9y 2 + 64x + 18y - 89 = 0 circle…

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Q: Question Supposef is continuous on [1, 8] and differentiable on (1,8). If 12 <f'(x) < 13 for all…

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Q: e slope of the surface z = int (2. 3) is xy² in the x-direction at the and the slope of this surface…

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Q: An object moves along a coordinate line with velocity U(t) = ((9 - 1) units per second. Its initial…

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Q: Find the determinant of the matrix. a. 8 4 b. 7 5

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Q: 10) Calculate a lower sum for f(x) = 2x + 5 over the interval [0, 2] using 4 rectangles. %3D

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Q: Jse Stokes' Theorem to evaluate F. dr where F(x,y, z) = xi + yj+ 2(x² + y²)k and C is the boundary…

A: answer is in next step

Q: 4. Find the point on the graph of f(x) 5x2 + 20x – 3 where the tan gent line is horizontal. (a)…

A: We have to solve integration

Q: Calculate y" and y". 4x – 7 y(x) (Use symbolic notation and fractions where needed.) y"(x) = y" (x)…

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Q: Set up the definite integral required to find the area of the region between the graph of y= z-12…

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Q: If x* + y* – xy+z – 3z = 1, then dz %3D a) None of these b)금 (423-y) c) y-4x3-4y3+x 2z-3 d) y-4x3…

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Q: 6 Determine the interval of convergence for the power series that can be used to represent the…

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Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

A: Perimeter of Norman window(P)=Perimeter of rectangle(P1)+Perimeter of…

Q: Jse the two-path test to prove that the following limit does not exist. y* - 2x? lim 4 (x.y)-(0,0)…

A: Since tha value of both the limit is different  Hence the limit does not exist.

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: The terminal point is 2.15, -1.94

Q: B a A b Note: Triangle may not be drawn to scale. Suppose c = 5 and A = 70 degrees. Find: a = b = В…

A: Solving the problem by finding the missing values of the triangle.

Q: Solve the following differential equations: 1.) y’ = x2 A. y = x3/ 3  B. y = x2/ 3  C. y = x ln 3 D.…

A: Integrating both sides.

Q: Let ü =, v = where A and B are some constants. Given that ü + 80 = find the value of the product…

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Q: 16) Find the radius of convergance, Rof Ene.series R=? 90x

A: The given series,        ∑n=1∞9nn2xn

Q: 7 The angle marked d is 70°. Find angle e. 30° d e

A:

Q: 1) Evaluate the integral dy dx using polar coordinate

A: Explanation of the answer is as follows

Q: (a) Using series we already know, write down a formula for the (infinite) Taylor series for er - e",…

A: (a) The series used is: ex=1+x+x22!+x33!+x44!+...                 ...(1)

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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Q: How many terms of the series -1)" 1+2" are needed to compute the sum of the series with an error…

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Q: Determine wheather the series con verges or diverges. S tate which +est of Convergence/divergence…

A: We have to find if the given series converges or diverges.

Q: A rectangle is growing in such a way that when its length is 5 ft and its width is 2 ft, the length…

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Q: Let f(x) = 2/x and g(x) = 4 - x2. Find the following. (a) (f+ g)(x) (b) (f- g)(x) (c) (f • g)(x) (d)…

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Q: Let C1 be the curve with parametric equations x = cos t, y = sint – t, where t e [0, ). (a) Find the…

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Q: Find: 1. Sjs(x)dx

A: Given:

Q: Match the graph with the function. 2 3x i 2 III IV (a) y- (x + 1)? O1 OV (b) y- (x - 1)2 O II ON (c)…

A: To match the graph with the function. a y=x+12b y=x-12c y=x2-1d y=-x2

Q: Determine whether the function is one-to-one. {(2,6). (3,9). (– 7,3), (1, – 5)} Is the function…

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Q: Use the Quotient Rule to calculate the derivative for the function w(x) = at x = 4. Vx+x (Use…

A: Given the query is to find the derivative of the expression.

Q: In 7 years Harry and Sally would like to have $20,000 for a down payment on a house. How much should…

A: