Find a parametrization for the ray (half line) with initial point (1,3) when t= 0 and (-2,0) when t = 1. =₁y=₁t²0. The parametrization is x =

Q: 1. Given that 2 is a zero of the polynomial f(x) = x³+ 3x² - 4x-12 factor f completely. Answer: P

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Q: Given f(x, y, z) = √5x + 2y + 6z, find fz(x, y, z) = fy(x, y, z) = fz(x, y, z) =

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Q: Evaluate the expression using the values given in the table. (g. f)(1) X 14 9 12 f(x) -19 3 15 X…

A: Given: x 1 4 9 12 f(x) -1 9 3 15   x -5 -1 1 3 g(x) 1 -6 4 9 We are required to…

Q: Determine the coordinates of a point on the graph of ƒ(x) = x³ – 7x where the slope of the tangent…

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Q: 6. The numbers in the sequence defined by a₁ = 1, a₂ = 3, and an = an-1 + an-2 for n≥3 are referred…

A: We are give a sequence with general term defined as: an=an-1+an-2  for n≥3 Given terms a1 and a2, we…

Q: Find the distance of the point (3, 5, -4) from the line r(t) = (1 + 3t, 1 + 4t, 7 − 3t). Answer:

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Q: Q6 Let R be the region under the curve of f(x) = √2 +1,1 ≤ x ≤ 3. Let A(R) be the exact area of the…

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Q: Given f(x, y) = 2x² + 6xy² + y³, find frz(x, y) = fry(x, y) =

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Q: Q7. Let f(x) = x- In(1+x) 1+z on (-1; +∞0). (a) Draw the sign table for the derivative of f. In…

A: 7. Given that, the function is          f(x) = x - ln(1+x)(1+x)   on  (-1,   +∞). (a) The…

Q: 8) Find dy/dx by implicit differentiation. 2xy-y2=1 A) dx = y x-y dx X C). *| dx y-x dy y dx y-x

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Q: Show that sequence is arithmetic  Sn=(n+4) Please,  solve step by step.  Write down every formula…

A: The sequence is arithmetic , if the difference between any two consecutive terms is same .

Q: Find all the possible rational zeros of the following polynomial: f(x)= x3 - 5x²-3x+14 O ±1, 12, 17,…

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Q: When traffic lights are installed, planning must include the duration of the green and the yellow…

A: Given: d=1.5tv+0.06v2 Speed limit=v=45 mph=0.0125 miles/s Reaction time= 1 sec

Q: Consider the planes 5x + 5y + 3x = 1 and 5x + 3z = 0. (A) Find the unique point P on the y-axis…

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Q: The function f(x)= (x+5) is one-to-one. a. Find an equation for f(x), the inverse function. b.…

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Q: 8. At each point (x, y) of a certain curve the slope is curve. 2log x y If the graph contains the…

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

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Q: Suppose you're driving your car on a cold winter day (30°F outside) and the engine overheats (at…

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Q: For the sequence an = 11 + (-1)", its first term is its second term is its third term is its fourth…

A: The value of (-1)n is -1 if n is odd. The value of (-1)n is 1 if n is even

Q: Consider F and C below. F(x, y) = (9 + 6xy2)i  + 6x2yj, C is the arc of the hyperbola y = 1/ x from…

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Q: Find an orthogonal diagonalization for A -1 0 -1 07 -1 1 1 -1

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Q: c. Repeat part a with h = 0.025. Compare the results with those found in a and b. d. Find the…

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Q: Tablet Computers Annual sales (in millions of units) of a certain brand of tablet computers are…

A: NOTE: Refresh your page if you can't see any equations. . the growth rate function is where t=…

Q: The boat is moving at 10m/s when its engine is shut down. Due to the hydrodynamic drag, its…

A: The given information are: When t=0, then v0=10 m/s and a=-0.05v2 . The information that needs to be…

Q: For the following polynomial function f(x)= x³-3, find the upper bound within which all of the real…

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Q: It is observed that a certain bacteria culture has a relative growth rate of 15% per hour, but in…

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Q: Find the volume of the solid of revolution formed by rotating the area under y=x² + 1

A: Given data:- curve y = x² + 1  x= 0 to 6 Find:- The volume of the solid of revolution formed by…

Q: Show that the differential form in the integral below is exact. Then evaluate the integral.…

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Q: Find all the possible rational zeros of the following polynomial: f(x) = 5x + 8x²-3x+2

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Q: A franchise models the profit from its store as a continuous income stream with a monthly rate of…

A: A franchise models the profit from its store as a continuous income stream with a monthly rate of…

Q: PROBLEM NUMBER 3 Determine the area to the left of g (y) = 3 - y² and to the right of x = -1. x=-1…

A: Note: According to our guidelines, we can answer only the first question or the first three subparts…

Q: Find the maximum and minimum values of the function f(x, y) = 5x - 3y subject to = 136. the…

A: SOLUTION:-   We need to find the maximum and minimum values of the function  f(x,y)=5x-3y subject to…

Q: Suppose is a differentiable function of x and y, and g(r, s) = f(Br 91, 8) 58 9s(1, 8) = (0, 58)…

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Q: Compute the coefficients for the Taylor series for the following function about the given point a…

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Q: A window is composed of a semicircle placed on top of a rectangle. If you have 28 ft of window…

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Q: If the profit function for a product is P(x) = 6400x + 80x2 − x3 − 250,000 dollars, selling how…

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Q: Evaluate 10 A. 2.0 B. 49.7 C. 3.0 D. 5.12 2 log₁0 edx X.

A: The given integral ∫1102log10edxx. We have to evaluate this integral. Note: Since you have asked…

Q: Suppose a plane containts the point P = (16,3, 17) and vectors a = (20, 8, 2) and 6 (15, 13, 7). Use…

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Q: Find a vector parametric equation for the ellipse that lies on the plane 4x - 4y + z = -7 and is…

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Q: Find the inverse function of f. f(x) = log4(x - 2) f-¹(x) =

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Q: The region R in the first quadrant is bounded by y = 8 sin(2), y = 8(x - 2)² and y = 5x + 3, and…

A: As per Bartleby guideline We will solve the first three questions. Area of region bounded curves: if…

Q: Let P be the plane in space that intersects the x-axis at 1, the y-axis at 3, and the z-axis at 5.…

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Q: Please solve and show all work. Consider the function f(x) = 2x³-12x² - 72x + 7 on the interval [-4,…

A: F(x) = 2x33-12x2-72x+7 X€[-4,7]

Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log₂ (x² - 4x…

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Q: Simplify and write the trigonometric expression in terms of sine and cosine:  cot(-x)cos(-x) +…

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Q: For the following polynomial function f(x)= -x² - 2x + 4, find the upper bound within which all of…

A: Here f(x) = - x2 - 2x + 4 and we find  and upper bound roots of this function.

Q: Find Ә дх 2e4zy

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Q: Please solve and show all work. Find the linear approximation of f(x) = ln x at x = 1 and use it to…

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Q: Consider the vector field F = Evaluate Jo r(t) = t²i+t³j, 0≤ t ≤ 2 248 Calculator Check Answer X F.…

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Q: Find the surface area of the part of the plane z = 7+ 3x + 4y that lies inside the cylinder 2

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