Using the Quadratic Equation, solve the following for X: 4X² + 5X+6=0

Q: The number of antelope in a national park is modeled by the function dA A that satisfies the…

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

Q: Q2) (i) Find the binomial expansion of  (1+x)−2  up to and including the term in x2  as well as the…

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Q: A tank with a maximum capacity of 200 L contains salt water and is initially half full. The 100 L of…

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Q: x² - 4x +6 4 X Find y' if y=- y'=0

A: Given query is to find derivative.

Q: For the following exercises, assume that f(x) and g(x) are both differentiable functions for all x.…

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Q: 15. x = 2√y, x = 0, y = 9; Answer 162T about the y-axis x=0 0 y=9 (6,9) x= 2√√/y

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Q: Tan Company purchased a large server for $21,500. The company paid 40.00% of the value as a…

A: t

Q: a) What is the coefficient of  x6 in the binomial expansion of  (2+3x)9

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Yes one last part please ? d/dx​(3v−5​u)=

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Q: $3000. 300-€ e

A: Given :e∫3300-tdt

Q: 1. Is the function g(x) = x² + 3x - 10 x-2 r²+3r-10 continuous at x = 5? If so, why, if not,…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler…

A: To find the derivative.

Q: J sec² (dx

A: To evaluate the given integral.

Q: Estimate the area under the graph of the function f(x)=√x + 3 from x = -1 to x = 5 using a Riemann…

A: Given function is f(x)=x+3 from x=-1 to x=5 using a Riemann sum with n=10 subintervals and…

Q: Solve the oblique triangle. Clearly show supporting steps and diagrams. Round to the nearest degree…

A: Given data: a = 3.0ft, b = 5.0ft, c = 6.0ft

Q: Find an equation for the line that passes through the points (-1,0) and (9, 30).

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Q: 4 -3 2 1 3- 2- 20 -1- 2 m H _x = f(x) 2 3

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Q: 5. The length of a curve from x = 1 to x = 4 is given by [√₁+1 (B) y = ln x the curve contains the…

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Q: The markup on the typical used car is 30% of its wholesale value. If a car just sold for $5600, what…

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Q: 3) Given P₁ :x-y-z = | P₁ = 2+1³4 +7=2 Find the parametrization of the intersection of the two…

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Q: for the first 1.5 years, the annual effective rate of discount is 14%. for the subsequent year, the…

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Q: 4. Which line passes through the origin? O A y=3 OB y=x-3 O cy=-3r ODY 2r 1

A: standard form of line is y=mx+cwhere m is slope of line

Q: Sketch a graph of the following ellipse. Find the center, vertices, and foci per class methods. (? −…

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: Sketch a graph of the domain region for f(x, y) = ln(x + 2y² + 1) using the steps below as a guide.…

A: The domain of the function is shaded region

Q: 4. About the y-axis y 10 (1, 2) (2, 1) y=x/2 (4,2) y = 2/x X

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Q: F(s) 3s² - 7s +5 (s − 1)(s 1) (s - 2)

A: As we know from the inverse Laplace transform identity. 1). L-11s-a=eat 2). L-11s-an=eattn-1n-1!…

Q: Draw an augmented matrix for the following system of equations: 3z − 2z + 3z = 4 −5z + 4z + 27z =…

A: Given equation 3z − 2z + 3z = 4 −5z + 4z + 27z = 0 10z + 25z − 13z = −9

Q: Does the sequence (an) converge or diverge? Find the limit if the sequence is convergent. an n! 42n…

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Q: Find the limit. lim (x, y) → (4, -2) X (x²y + 6xy² + 3)

A: Given query is to find indicated limit.

Q: (a) f(x) = (b) f(x) = (c) f(x) = (d) f(x) = 1 + 5z - 6 -z+3 z²+z-30 2-5 2 27 - e 2x + 1 sin(TZ)…

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Q: how to expand (1-y)^1/2 in powers of y. please solve it in details, I don't just need the final…

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Q: Consider the series. 1000+200+40+8+85+... Does the series converge or diverge?       The…

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Q: Let P(1,2,3). Q(1,-1,0) and R(2,4,7). Find i. the normal vector to the plane PQR. ii. the parametric…

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Q: After t seconds the displacement, s(t), of a particle moving rightwards along the r-axis is given…

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Q: Consider the following matrices. X= Z= w-B] W= (a) Find scalars a and b such that Z = ax + by. (a,…

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Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

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Q: For the given function, find (a) the equation of the secant line through the points where x has the…

A: y=f(x)=x2+xat x=1 , x=4 (a)  equation of secant line is y=mx+c,  where m is slope

Q: sider the line with the equation: 3y + 2x = 0 e the equation of the line parallel to Line 1 which…

A: Given query is to find equation of the line.

Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(1, 0, 1),…

A: given  P(1,0,1) Q(7,2,1)vector equation is  r(t)=<P>+t<PQ>

Q: e20 sin 30 de

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Q: Find h(x) and g(x) such that f(x) = (h o g)(x). f(x)=√√2x+2 Suppose that g(x) = 2x + 2.

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Q: The median weight of a boy whose age is between 0 and 36 months can be approximated by the function…

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Q: f(x) = 9 x ,X #0

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Q: Let r(t) be the rate at which a swimming pool is being filled with water, measured in liters/minute,…

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Q: 1. Let h(x): = 4x³ + 3x - 2. Use the Intermediate Value Theorem to show there exists x = 1 and x = 2…

A: Given query is to apply IVT.

Q: Let f(x) = x*|x| Find a formula for f'

A: Given f( x ) = x| x | As we know that ddx| x | = x| x |

Q: Evaluate the integral. Jo 4 dt 16+ t²

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Q: Sy-10 y²-4y+11 2. S dy

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Q: 9. Tenzin measures the angle of elevation to an airplane and finds it to be 54°. Tenzin is 3.5 km…

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Q: 6. 7 dy dx dy = x² 1 + y² y

A: Since you have asked multiple question, we will solve the first question for you as per our guide…