Write the integral that can be used to find the region bounded by x = -3y² + 4 and x = y³.

Q: Perform the operation and write the result in standard form. 3 4 1+i 1-i 7. +

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Q: 3. Two sides of a triangle are 5 and 10 inches, respectively. The angle between them is increasing…

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Q: x=r +1, y=r -t uation of the tangent to the curve at tl Show all your work.

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Q: 1. Sand is pouring from a hole at the rate of 25 cu ft/s and is forming a conical pile on the…

A: Sand is pouring from a hole at the rate of 25 cu ft/s and is forming a conical pile on the ground.…

Q: Suppose f(x,y)= xe figure out tne minim um rate of change of + at the point (3,3). Dont not round,…

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Q: The line in the direction of i −3j + 4k through the point (1, 0, −2).

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Q: Write the general solution to y = arccos (3) y = + ±2 k 3 y = + +2 7ck 4 Oy =++2 Ik

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Q: x² 4x + 5 lim 3x а. x+5 lim b. x+7 x² - 49 x - 7 lim С. x² - 3x + 2 2 - 4

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Q: y = 2Vx, y= Find the area of the region enclosed by the curves.

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Q: Find the distance from the point (3, 4, -1) to the plane lr 3y +2z = 5.

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Q: #10-The maxgmad cost of a produt is madeled by T when x:3, C40. Find the cost furction.

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Q: C) = ("; ')-(,".) ')-(,",) +: n . Show that : .r.

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Q: Solve the following equation -1 cos 2.x + sin-1 X = 3

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Q: 3.) Evaluate: S (G++ 2) dx 4.) Evaluate: S(3sinx – 2sec²x)dx

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Q: x² +1, if x-1 odd f(x)= ,2_1. if x+1 even Find the value of f(1)+ f(2)+f(3). O a. None O b. 12 О с.…

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Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

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Q: Direction: Prove using the three conditions of continuity if the following function is continuous or…

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Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° WIN 4 150°…

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Q: Find the area of the region in the xy-plane bounded above by the graph of the function…

A: Given  fx=711x-2111, x=3 & x=14 To find Area:

Q: 1(x) (х+1)* II

A: follow the procedure given below.

Q: Find the dy/dx by implicit differentiation. 1. 4x2 – 9y2 = 1 2. x³ + y3 = 8xy 3. x? – 7xy + y2 = 0 |

A: As we know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 The Product rule:…

Q: A theorem states that one local extremum implies absolute extremum. Verify that the following…

A: A(r)=12r+3πr2 , r>0SupposeA'(r)=0(-1r2×12)+6πr=0-12+6πr3=0 ⇒r3=126π⇒r3=2π⇒r=2π3

Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° s e < 360°. Round the…

A: This is a problem of vector. Based on the general formula we will find out magnitude and direction.

Q: Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

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Q: Locate the critical points of the following function. Then use the Second Derivative Test to…

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Q: Consider the graph of the function g(x): 4 y = g(x) 4 7 x The graph from x = 2 to x = 6 is a…

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Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…

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Q: Consider the parametric equations: x = 2t2, y =t³. Find at the point t = dx? 8 without eliminating…

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Q: Calculate the angle 0 between vectors a and b when a = i – 2j + 2k , b = 2i + 3j + k %3D

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Q: (2x³+9)dx (x²+3)(x²-2x+3)

A: This is a problem related to partial fraction of decomposition and integration. Based on the general…

Q: Hint: Multiply the ODE by the factor u = eS p(z)dr Use this result to find the I.V.P solution: y + y…

A: To solve the following problem

Q: Consider the following curve. f(x) = Vx2 + 2x - x Determine the domain of the curve. (Enter your…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Fincd the inverse matrix by cofector u A= 3 2

A: Given query is to find the inverse matrix.

Q: 105% (28.7) Apply the Alternating Series Test to determine if COS NT converges. f the Al- n3/4 n=1…

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Q: Is the polynomial in standard form? [ Select] Classify the polynomial by degree [Select] * and…

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Q: Sketch a graph of a rational function that satisfies the following conditions f(0) = 0, f(-4) = 2,…

A: We can draw the graph as follows

Q: clearly

A: We have to choose the correct option according to the given information

Q: Find the principle solution of tan(4 – 4x)= 0. %3D

A: find for x tan(4 - 4x) = 0 4 - 4x = tan-(0)              [ take both side tan inverse 4 - 4x = 0…

Q: Determine the intervals on which the following function is concave up or concave down. Identify any…

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Q: Determine whether the series (-1)". converges or diverges. Vn3 +2 n=1

A: Apply Leibniz test for convergence

Q: y = (x-p)(x-r) and p+r=6. Find the x coordinate of the vertex of the parabola. O a. None O b. 6 O c.…

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Q: C) = ("; ')-,",) + Q1. Show that :

A: We have to prove the given expression.

Q: correct position in the answer box. Release your mouse button when the item is place. If you change…

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Q: Find the Taylor series about 0 for each of the functions below. Give the first three non-zero terms…

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Q: 17. Evaluate the given integral, Í x ln x dx: A. x² Inx Inx -+c 2 x? Inx В. + - + c 2 4 x² Inx + 플…

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Q: Evaluate: -ld. dx 1 2 5.027 2 5.205 2 5.025 2 6.025

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Q: Write the complex number in standard form. 3-V-30 4 + 30i 3 + 30i 3 – V30i 7- 30i O 4- 30i

A: Simplify using basic concepts of complex number.

Q: sẽ the point which shows the correct location for the polar coordinate (-2, 180°). 90° 2 4/2 135° 7…

A: point (-2,180) here -2 show radius of circle  180 is angle with x axis here one circle is 1 unit…

Q: |cos'xsinxdx 2.

A: Solve :∫cos3x sinxdx

Q: Simplify cos2θ*(1+tan2θ)

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