The surface parametrized by 7(u, v) = (u, v, u - 2v) is a plane O a hyperboloid a cone a cylinder

Q: Using the substitution u = x - 1, we get the following. (Remember to use absolute values where…

A: ∫1x-1dx=∫1udu                 =logu+c ∫1x-1dx=log(x-1)+C

Q: The temperature at a point (x,y,z) of a solid E bounded by the coordinate planes and the plane…

A: We have to find the average temperature.

Q: Draw a direction field for the given differential equation. Based on the direction field, determine…

A: We have to draw the direction field for the given differential equation.

Q: 16y¹ fit+22 (x,y) → (0,0) (b) lim (0'0) ← (¹x)

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Q: hand written plz 5. Let D be the region bounded by the lines y = x, x=3 and the curve y = (a) Sketch…

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Q: Confirm by multiplication that x is an eigenvector of A, and find the corresponding eigenvalue. 301…

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Q: Given the triangle to 4 decimal places. x = 23 x 33° 30° find the length of side x using the Law of…

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Q: of 14 that Suppose newly-baked cupcakes are taken out of the oven which is set at 100 degrees. Room…

A: We will use Newton's law of cooling to solve this question.

Q: 2. Evaluate da da dr d. 1/2/3+2/²+1/+1 f. 2√x+3+x

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Q: COLUMN A 17. To each person on the earth assign the number which corresponds to his age. 18. To each…

A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

Q: 3. y = logsin x (csc 4x)

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Q: ferential √226

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Q: Problem 4. (. Let C be the curve given by parametric equations x(t) = t², y(t) = 2t, z(t) = lnt, t€…

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Q: Solve the equation for z = C: i(z - 2i)² = 8 Select one: O a. z E-2, 3 + 4i O b. z € 2,-2 + 4i O C.…

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Q: Answer it correctly, neatly, and comprehensively.  Written answer only.  Determine the coefficients…

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Q: luate 2 Af ² (x-1) 25 dx 7 S² √4+3x dx 1 x² (1+22³)5 dx esinx cosxdx O 플 the definite O inte

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Q: particular

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Q: Question 2 The function y = ax + has a minimum at the point a = -2 O a = -3 O None of the choices a…

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Q: Solve the given differential equation. All solutions should be found. dy e5x+10y = e dx NOTE: Use c…

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Q: Find the area of the curve y = x² and y = 9

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: convert the following differential equation into a Perfect equation and then Find its general…

A: To find the solution of the given differential equation.

Q: y² = 8x, y = 2x; about y = 4.

A: Volume of solid is evaluated.

Q: Given the function y = f(x) defined at all real values of x. Let x = 2, 3, 5 and 7 are critical…

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Q: Let r(t)=(3-2 cost)i + (2+2 sin t)j. Find the arc length parametrization in term of the arc length…

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Q: s projected that x years from now the population of a certain city will be changing at the rate of…

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Q: Directions: Solve the following using the theorems on differentiation. 1. Evaluate | 7e*dx 2.…

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Q: (1² +21) dx dt = = 2x + 2 (t, x > 0), x(1) = 1

A: Given that: (t2 +2t) dx/dt  = 2x+2 ; x(1)=1. Find the solution of this initial value problem.   Here…

Q: - show that V(x,y) = x 'f (2x+y)

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Q: 4x Compute the values of dy and Ay for the function y = e + 3x given x = 0 and Ax = dx = 0.02. Round…

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Q: Find the volume of the solid that is bounded by the cylinder z = 4x2, on the sides by the cylinder…

A: Let's find volume of solid.

Q: The area common to the circle > = 3 and the cardioid r = 3(1 - cos 9).

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Q: EXAMPLE: (0,0) 3x-2y 26 5x+45 O > 5 x a 1915 CRITICAL POINTS -A (30) ( B (2.0) 1 D ( ¾/5,9). ✓c…

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Q: Find the general solution of the following DE. xy(y')² + (x² + y²)y' + xy = 0

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Q: Q.1// (A) Use trigonometric substitution to find f- x²-2x-5 x3-5x² (B) Use partial fraction to find…

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Q: Analyze and sketch:  x- and y-intercepts  Critical Numbers  Table for increase/decrease + local…

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Q: Solve it neatly, correctly, and comprehensively.  2. An open box is made from a thin sheet of…

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Q: . For the function f(x)=x 4 -5x 3 -9x 2 +2x+1determine the intervals of concavity and inflection…

A: f(x)=x 4 -5x 3 -9x 2 +2x+1

Q: Evaluate y' y = cosh²12x +sinh²6x

A: To find out the derivative.

Q: o classify the following PDES :- 227 ахг <-2 822 буду +2 82 дуг =x+3y 2 X •x2 Ихх - 2 xу Иху +ў Иуу…

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Q: Evaluate the following integrals: a) b) ex² Jy/2 dx dy dy dz dx 2y

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. Find an equation for the plane through (1, 3, 4), (2, 2, 3), and (3, 2, 1).

A: Given problem:- 4. Find an equation for the plane through (1, 3, 4), (2, 2, 3), and (3, 2, 1).

Q: Compute n Σ₁ tan(kx) tan((k+1)x) k=1 tan(nx) O a. + (n + 1) tan x b. tan((n+1)x) + tan x − (n +…

A: Trigonometric series

Q: Use the surface integral in Stokes' Theorem to calculate the circulation of the field F = x²i+…

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Q: 2 sin(x − 57) + 4 5 4 3 2 1 Sketch a graph of the function f(x) = -3/2 -5/4 -I -3/4 -π/2 -π/4 -1 -2…

A: The general form: a sin (bx – c) + d Where, |a|  = Amplitude 2π/|b| = Period c/b = Phase shift d =…

Q: Simplify csc(t) sin(t) - cot(t) to a single trig function with no fractions.

A: csct-sintcott=1-sin2tsintcot(t)=costcottcott=cost

Q: Find the linearization of the function f (x) 1 9x+8 at = -1. L(x) = -9x-10 si Find the true values…

A: This question can be solved using the concept of linearization of function.

Q: A ball is thrown downward with a speed of 16 ft/s from the top of a 256-foot-tall building. After t…

A: see below the answer and explanation with calculation

Q: Find the solution of the given initial value problem in explicit form. 77 ㅠ sin(2x) dx + cos(8y) dy…

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Q: show that V(x,y) = x 'f (2x+y) is the general Solution of 9 dv X du 2x = V dx 1 ay

A: Given: V(x, y)=xf(2x+y) Find: the general solution of Xdv/dx - 2XdV/dy= V

Q: Using trigonometric substitution in integrating sqrt (x^2 - 49), the hypotenuse side is equal to?

A: