Q2: Find the following limits 1-√x²+1 1. lim X-0

Q: Solve for y + In lyl at x=6: y'=(yx^2 - y)/(y+1); y(3) = -1 4.5

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Q: A car dealership has 4 red cars, 3 blue cars, and 2 silver cars to display in a line facing forward.…

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Q: The logarithmic equation 2 log c = b, where a > 1, expressed in exponential form could be Oa² = bc…

A: Given

Q: 5. 3 C d S a b e porld at t Let λ = 2 be an eigenvalue of an n is correct? (a) |21 - A| ‡0 (b) 21 -…

A: As per guidelines, I can answer maximum one question. Since you have asked for multiple questions…

Q: The curvature x(s) of C is defined as the magnitude of the rate of change of the unit tangent with…

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Q: 1) 2) 3) cos ¹(2) j(1-j√3)(√8+j) (1+j)(1-j√3)²

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Q: Find the maximum value of the function y = on the interval 1<x< 4. In x Approx. 2.79 Approx. 2.89…

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Q: Problem 5. An observer is positioned 3km away from a rocket launch pad. How fast is the distance…

A: This question can be solved using the concept of rate of change.

Q: Into a 100 - gal tank initially filled with brine containing 50 lb of salt flow 3 gal/min of brine…

A: Into a 100-gal tank initially filled with brine containing 50 lb of salt flow 3 gal/min of brine…

Q: Solve for y at x=2: (4x^3-6yx^2 + 2xy^2)dx + (2yx^2 - 2x^3)dy = 0; y(1)=4

A: This question can be solved using the concept of differential equation.

Q: The difference between the number of arrangements using all the letters in DIPLOMA and the number of…

A: We need to find difference between arrangements.

Q: Write an augmented matrix and use elementary row operations in order to solve the following system…

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Q: There are 28 students in Mr. Connelly's Grade 12 mathematics class. The number of students in the…

A: Denote nA=number of elements in the set.

Q: Eliminate the arbitrary constants of the following. Simplify your answers.  10. y = c1e^x + c2e^-x +…

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Q: Q/Calculate limit statement lim sinx-cost XT 4 1-4

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Q: 4. i) Determine the values of a and b for fx) - -2x³ + ax + bx + 6 so that f'(-2) - 0 and f'(7) - 0.…

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Q: When the expression log, (47) - log, (3), b > 1, is written in the form log, a, the value of a, to…

A: We need to find a.

Q: @ evaluate the indefinite integral fxº ex* dx

A: Given problem:- ∫ x8 ex^9 dx

Q: Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a solution of water and…

A: Given problem:- Sodium chlorate crystals are easy to grow in the shape of cubes by allowing a…

Q: A box with an open top is to be constructed from a square piece of cardboard, 3 m wide, by cutting a…

A: 1) Given:

Q: A plane Π2 intersects Π1: 4x − 2y + 7z − 3 = 0 at right angles. Two points lie on Π2: A (3, 2, 0)…

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Q: If all the letters in the word FUNCTIONS are used, determine the number of different 9 letter…

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Q: Find the area between the curve f(x) = x² +12 and the x-axis from x = 3 to x = 6. ...

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Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

A: Between 3 seconds and 7 seconds the ball's average velocity is ???

Q: A cube is box all of whose sides have equal lengths 3s². True False

A: a cube is made of 6 squares whose sides are of equal length

Q: What is the degree of the following homogeneous function? * f(x, y) = On On-1 On-2 On-3 = xn +…

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Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. = If u(3, 6) = -7, us (3,- 6) =…

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Q: f(x.y) =e^sin(y) + In(xy) ; әз of Әхд-у

A: See the answer below

Q: Given the function z = f(x,y) = x²y + 2y² + 4xy-2, find the following: a) Find all of its critical…

A: Here, we need to find the critical points.

Q: If y = (1+x)8 (x + 1)7 True False then dy dr

A: We can solve this as follows:

Q: Find the area between f(x)=x²-9 and the x-axis from x = 0 to x = 7. C... The area is square units.…

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Q: The graph of one complete period of a sine curve is given. y 1 4 4 -3 7814 X

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Q: Evaluate the integral.   The integral from 1 to 4 of e^(4/x)/x^2dx

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Q: Determine the critical numbers for f(x) = (x-a)*(x-b)*. Ox=a, x=b and x=m+n h Ox=-a, x=-b and x=n+m…

A: Since you have asked to solve two sub questions we will solve it.

Q: Determine whether or not the following functions are continuous at (0,0). -1 for (x, y) = (0,0) a)…

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Q: Determine whether the series converges. O The series diverges. O The series converges. 00 Σ k=1 k…

A: We can solve as follows

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: A box has square ends, and the sides are congruent rectangles. The total area of the four sides and…

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

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Q: 2) 2) A water trough has a semicircular cross section with a radius of 0.5 m and a length of 4 m…

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Q: xy lim (x,y)→(0,0) x² + y²

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Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A:

Q: (1) 5. How many different class pictures can be taken if there are 2 teachers and 15 students and…

A: This is a problem related to permutation and combination. Based on the general formula and concept…

Q: The graph of f(t) is displayed below. Fill out the table for values of the accumulation function…

A:

Q: defined on the interval [-9.4247778, 1.45619445]. Enter points, such as inflection points in…

A: Solution: Given f(x) = sin2(x/3)       interval [-9.4247778 , 1.45619445]

Q: Find the relative extreme values of p(x) = 20 5 - 3x3

A: Here we have to find the relative extreme values.

Q: How many odd three digit number can be written using the digits 2, 3, 4, 5, and 6?

A:

Q: Find an equation of a line that passes through a point P (-3, 5, 4) and is parallel to the given…

A: Given problem:- Find an equation of a line that passes through a point P (-3, 5, 4) and is parallel…

Q: Given the matrices A: = [1-4] 0 21. B=( )-C-1) ₁ [1 -5 5 and C= the matrix X in the equation AX + 5B…

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Q: If y = -x-4/3, what is 4 321/3 -1/3 01- 45 3-76 4 32-7/3 dy 2

A: y=-x-43