Given the curve y = x² – 2 and line x = y. 1. Compute the area bounded.  a. 3.2 sq. units b. 2.6 sq. units c. 1.4 sq. units

Q: 2х — а, х < -3 Find the values of a and b so that lim f(x) and limf(x) both exist given: f(x) = {ax ...

A: The objective of the question is determine the value of a and b for which limits exist.

Q: 2 lim (x + 1) - (х* + ) x → 0

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Q: The function y = 2x2 for -3 ≤ x ≤ 3 is given. a) Plot the graph b) Find the gradient at x = 1

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Q: Determine the line tangent to y = sin x that is parallel to 2x – 4y = 8.

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Q: z, Z2 Prove

A: If z =x+ iy then  z = x- iy. i2 =-1.

Q: Consider the following. y = 5x2 - 10x + 4 %3D

A: The given function,      y=5x2-10x+4

Q: e 2t Given that y, (t) = cos t is a solution to y"-y' +y = sin t and y, (t) = is a solution to y" -y...

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Q: Find a particulaf solutioh to 9y" +6y'-y= 17 A solution is v. (t) =

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Q: 1. Use the Root Test to determine if the series en? n=1 (-1)"2* (2n2 – 1)n converges or diverges.

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Q: (2y – 3x)dx +xdy = 0

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Q: Use the compound interest formula to compute the balance in the following account after the stated p...

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Q: 2. Consider the graph of the function h given below.

A: Given graph  shown is parabola  Opening down side   

Q: 6x(a3x*-1) dx 4.

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

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

A: To solve the given differential equation.

Q: If a particle is moving with the given data a(t) = 10 sin t +3 cos t, s(0) = 1, v(2n) = –4 Then the ...

A: Given that at=10sint+3cost  ,s0=1,      v2π=-4To find : the position function stSolution :we know th...

Q: 6.1 f*, V16 – x² dx 4

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Q: d?x ax dx ÷+ 9x = 0, when x(0) = 1 and (0) = 0 dt2 dt dt

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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: Find a general solution to the given differential equation. y" -y'-56y = 0 A general solution is y(t...

A: If the roots m1,m2,...,mn of the Auxiliary equation is real and unequal then complete solution is   ...

Q: o be 66 centimeters, with a possible error of 0.9 centimeter.

A: answer of given question is in step2 

Q: 3. If f(r, y) = x*y - 2x-4y, then the total derivative of f

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Q: 2. Use the Mean Value Theorem to show that f(x) = 2x sinh(x – 1) + 2" – x has a critical number betw...

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Q: Evaluate the given integral by changing to polar coordinates: Sl. x²y dA, where D is the top half of...

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Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

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Q: Locate the critical points and identify which critical points are stationary points. f(x) = 5x – 160...

A: Given thatfx=5x4-160x2+8Solution : find first derivative and equate equal to zero.fx=5x4-160x2+8f'x=...

Q: Consider the parallelepiped with adjacent edges u = 5i + 7j + k v = i+j+7k w = i+ 8j + 7k Find the v...

A: Volume of the parallelepiped is 238 cubic units. 

Q: Find the average of the function over the given interval. (Round your answer to two decimal places.)...

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Q: The limit of a constant function is always zero. * TRUE FALSE

A: topic - limits

Q: Show that the function has one zero in the given interval f(x)=x^4 + 3x + 1 [-2,-1]

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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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: * 00 %24 Suppose that a company introduces a new computer game in a city using television advertisem...

A: Given query is to find value of p at x = 0.

Q: 5x3 dx. Consider the integral 4x4 +2 (a) Which of the following statements best describe the given i...

A: For part (a), option (b) is correct answer. For part (b), the given integral is Divergent.

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

A: Question- Set up an integral for the area of the shaded region. Evaluate the integral to find the ar...

Q: 2x 4x e dx

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Q: Find the vector component of v = (4, – 1,7) along b = (3, 6, –6) and the vector component of v ortho...

A: We can solve the given problem as follows:

Q: (d) There exists a relation U on A so that U is symmetric and antisymmetric, but U is not transitive...

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Q: * 00 The size of a certain insect population is given by P(t)= 300e OLr, where t is measured in days...

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Q: Given the function notation f (x) = x2 – x – 4. Find the value of x when f (x) = 8

A: Given the function notation f (x) = x2 – x – 4. Find the value of x when f (x) = 8

Q: I+x 5. Show that y = has three points of inflection and they all lie on one straigl 1+ x2 line.

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: 3 dx 25¢16x2

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

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

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Q: age 25​, someone sets up an IRA​ (individual retirement​ account) with an APR of 4​%. At the end of ...

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Q: ch of the following sequences. Always justify your ans 1+ncos(2m) sin n+ c - In с) а, d) а, 2n 3 n°

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Q: The movement of a particle follows g(u), where g(u) h(u) and h(u) = u? + 8u + 15 and y(u) = u² + 2u ...

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Q: (2y – 3x)dx +xdy = 0 %3D

A: Find your answer below 

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: Consider the vectors A= (4, -2, 2), B =-(-2,3,0), and C= (0, 2, 1). 1. Find the following. (a) B- A ...

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Q: Consider the pair of savings plans below. Compare the balances in each plan after 13 years. Which pe...

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