Sketch the region bounded by the given curves, then find its area. 1. у%3D х*, у%3D2х

Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

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Q: A. y? = 1+ a? + 22 C. a² + y? = z? %D B. y? + 22 = x? D. 22 = 4+ 4x² + 4y? %3D

A: 1. Answer : V

Q: Consider the following. u = -9i – 4j – 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find...

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Q: 3x°- 4x g(x) = 2 x' +2 Find the derivatives final should have no negative powers. answer

A: We have to determine above derivative 

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, ...

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Q: 1. f sin³ 4xcos³4xdz

A: To evaluate the given integral.

Q: For the demand function q= D(p) = 422- p, find the following. a) The elasticity b) The elasticity at...

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Q: 9 1/2-8 3/4+10

A: We have to find solution of given expression.

Q: A concert will be held at the end of April. Past experience indicates when tickets are priced at $70...

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Q: Find the area enclosed between the curve y = 9- x squared and line y = x + 7 A 2.5 B 3.5 4.5 5.5

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Q: Construct a truth table to show that (pnq) → p is a tautology.

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Q: from the observer? Remember the sides of a right triangle are related by 20 s saigt foward an obsenv...

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Q: 4. у%3D 2х—х2, y = 2x² – 4x

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Q: Solve y" – 2y' + y = 0; y(1) = y'(1) = 0

A: To solve the given differential equation.

Q: f(x, y) = x2 + 20x + y² + 16y + 10 O f(-10, 8) = 102, saddle point O f(10, 8) = 502, local maximum O...

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Q: Solve the derivative: sinx – 1 F(x) = COSX Answer: sec(x)tan(x)(sin(x) – 1) -

A: We will find the derivative. 

Q: 2n + 1 Σ n tan-1 n n=1

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Q: 1 1 3. lim ed - 1

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

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS: Identif y the u and find du. 1. fa cos² 2t dt 4...

A: 1). Given; I=∫cos22tdt  ...1   We know that; The trigonometric identity: cos2x=2cos2x-1 And ∫11+x2dx...

Q: |lu|| = 3, Ou = 0° ||v|| = 2, Oy = 60°

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Q: 2x5y' = y(3x* + y²) 4

A: Find your answer below 

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: (2y – 3x)dx +xdy = 0

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Q: Compute the derivative of the following function. f(x) = 11 e 4x f (x) =

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Q: Exercise 3. Consider the model economy where the government taxes consumption and uses the tax reven...

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Q: Find the coordinates of the vertex and the focus for the parabola given by the following equation: 8...

A: To find out the vertex and focus of the parabola.

Q: Find the vector projy 2i - 2j - 4k, u = 5i - 12 k

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Q: f(x) : 1

A: The given function f(x)=1x2

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 4j as a...

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Q: If y = csc² x+ 2 , then ſ y dx = cot x + 2x + c True O False

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Q: How do you find the derivative of the quotient of two functions that are differentiable at a point?

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Q: Question 3 Find all the local maxima, local minima, and saddle points of the function. f(x, y) = x3 ...

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Q: Find the critical numbers of the function f(x) = x – 12x2.

A: This is a problem related to derivative of the function. Based on the general formula we will calcul...

Q: Question 12 Provide an appropriate answer. Find when r = 4 and s = 3 if w(x, y, z) = xz + y, x = 5 r...

A: We will put the values of x,y and z in w(x,y,z) to convert w in the terms of r .

Q: , for x 1 -X Discuss the contuniuty of f andf".

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: Write the equation of the ellipse 16x? + 9y? + 160x – 90y + 481 = 0 in standard form %3D (æ – h)? (y...

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Q: 3 dx 25¢16x2

A: We can evaluate the given integral by using the following formula.

Q: What is the point of intersection of the following line and plane: line: 7 = [3, 1, 2] + t [1, - 4, ...

A: Given  r⇀=3,1,2+t1,-4,-8& plane π=4x+2y-z-8=0 To find point of intersection:

Q: 1. A body at a temperature of 50°F is placed outdoors where the temperature is 100°F. If after 5 min...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Find an equation of the tangent(s) to the curve with paramnetric equations ¤ = 1+ VE, y = e" at the ...

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Q: Find an equation for the plane through points P(1, -1,2), Q(2,1,3) and R(-1,2,–1).

A: This question can be solved by applying the formula of equation of plane passing through three non c...

Q: 2n + 1 n -1 n tan n=1

A: Find the limit of the given equation at infinity.

Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is %3D Round your answers to...

A: Given a = ci + j and b = 3i + 4j. The angle between a and b is π6. We have to find the value of c.

Q: x+5 9 – (x – 3)²

A: Given: I=∫x+59-x-32dx    ....(1)   We know the trigonometric identities; (1). sin2x+cos2x=1 (2). cos...

Q: A rotating light is located 10 feet from a wall. The light completes one rotation every 4 seconds. F...

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

A: planes - parametric equation

Q: 1. Given x= 2t2+ 1, y= 3t : Find A = J ydx as a function of t by substituting for y and dx their val...

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Q: Prove VZEC, V2|z|>|Re z| +|Im z| + |Im z| Vze C,

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Q: What is the point of intersection of the following line and plane: line: 7 = [3, 1, 2] + t [1, – 4, ...

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