Evaluate the integral below by interpreting it in terms of areas. In other words, draw a picture of the region the integral represents, and find the area using geometry. 42 2'dx

Q: Given f(x, y) differential df = 10x?y then the total O 20xy dx + 10x² dy 20x dx + x2 O 2xy dx + x²…

A: For the solution follow the next step.

Q: Direction: Solve the following equations using separation of variables. 5. y*y' + y' + x2 + 1 = 0

A: To solve the following differential equation by using separation of variables. y4y'+y'+x2+1=0

Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 5 If csc² A = ;, what is the value of 1- cos? A? 2 5 5 2 2 Option 1 O Option 2 2 2 D Option 3 O…

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Q: 4. What is the geometric relationship between the two integrals below? et dx, In x dx Evaluate the…

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Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: S16 -X2 dj dx x?+y?

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Q: 4) represent the jollowing angles an higono metric cirde a7. + K2n 3. 4. c7 t. Eld

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: First take general equation of plane passing through any one point. Then solve for other point . And…

Q: *** . ***** ******* . Determine whether the lines intersect, and if so, find the point of…

A: To find the point of intersection of given lines.

Q: Consider the following planes. -4x + y + z = 4 12x - 3y + 4z = 16 (a) Find the angle between the two…

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Q: Direction: Solve the following equations using separation of variables. 4. sin(x)dx + ydy = 0, y(0)…

A: Given

Q: What are the relative extrema of the function f(x)=x3+3x3-24x+7

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Q: H.w: Find the Eigen vectors for the largest Eigen value of the system X1+ +2x3=0 3x1-2x2+X3=0 4x1+…

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: To find volume of parallelepiped.

Q: f(b) – f(a) Find the value(s) of c that satisfy the equation = f'(c) in the conclusion of the mean…

A: We can find the value of c that satisfy the equation  f(b)-f(a)b-a = f'(c) .

Q: If it is continuous, there are 3 conditions needed to be satisfied: i. f(a) is defined ii. lim x→a…

A: The three criterias that you have mentioned are for a point. When we check the continuity at a…

Q: Simplify -3j 1234567+ 4j98765432 – 5j-32198765 + 6. What is the imaginary part of the result? O 2

A: Given: -3j1234567+4j98765432-5j-32198765+6

Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

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Q: ind cylindrical coordinates of the point with rectangular coordinates (3, –3, –7).

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Q: dy Find for the following expressions: dx a) y = x5 In(3x) b) y = 2 cos (;+ 2x*) Зx2 + 7х + cos (x)…

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Q: WORK. 1. Find the coordinates then plot the centroid of the given plate (below).

A: Follow the procedure given below.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: 1. How tall is Gio than Trixie? 2. How short is Ana than Leigh? 3. If Janela stood on a box that is…

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Q: xdx + ydy = (x+ x¯ +y° )dx

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Q: Find the dot product of Á = and B =. Find the scalar product of P = 10î – 4ĵ + 7k and Q = -2î – ĵ+…

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Q: Solve the given initial-value problems. 4.43. re dr +(y-)dy 0; y(0) 0

A: x ex2 dx + (y5-1) dy =0x ex2 dx =(1-y5) dyvariable separable;∫ x ex2 dx=∫ (1-y5) dyx2=tx dx =dt212∫…

Q: An ice cream cone is filled with ice cream and surmounted ice cream in the formof a hemisphere on…

A: Given problem:- An ice cream cone is filled with ice cream and surmounted ice cream in the form of a…

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

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Q: d. x cosy + y sin x –1 = 0 3 х е. = 2 x y

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: cos³x dx sin*x

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Q: 6. * Sx3 V4-x2 dx

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Q: 14 what is 3. Given that f(x)dr f(u)dv? answer

A: This question is based on properties of definite integral.

Q: Which of the following is TRUE if sin 3A = cos 6B, where 3A and 6B are complementary angles? * A + B…

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Q: 21.3 xdx V16 - 9х4 0.

A: We to integrate the given integration.

Q: 1. 9. 2

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Q: प- १ + का वपू

A: Let ,I=∫y-2+1dyput y-2+1=udifferentiate w.r.t.y12y-2dy=dudy=2y-2dudu=2(u-1)duI=∫u2(u-1)duTake the…

Q: Direction: Solve the following equations using separation of variables. 3. 2xy + 6x(x² – 4)y' = 0…

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Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

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Q: Determine the Riemann sum that represents the illustration below. The function is Ax) = x2 + 1. .Y…

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Q: Solve the system by graphing each equation and finding the point of intersection. -12 + 6 x + 2 y -…

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Q: how about the equation of the normal line?

A: Apologies for the inconvenience. Here is the solution for the normal line:   From the original…

Q: 5. The solid below, known as Gabriel's Horn, is generated by rotating the graph of y = ! about the…

A: To find out the volume of Gabriel's Horn.

Q: A function f(x) passes through the points (15,24), (18,37), and (22,25). Use Newton's Divided…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u =j + 8k v = i - 6j - k

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan 2, (1, 0,…

A: This question is based on finding equation of tangent plane of function having two variables at a…

Q: b. S sech x = 2 Arctan(e*) + c

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Q: Exact ODE y'sin2nx-nycos 2rx

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Q: Find the derivative of the following using First Principle. 1) y = 1 2) у %3D х 3) f(x) = 5x3 %3D 4)…

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