Find a parametric description r(t) for the line segment from (-3,2, -1) to (8, -5, -10). Provide your answer below: r(t) =(¯‚¯‚¯), 0≤t≤1

Q: What is the inverse of the function y = 9x2 + 12x +4? What domain restrictions are necessary?…

A: Given y = 9x2+12x+4let inverse of y = f-1(x)

Q: Find the quotient of polynomial expression using long method and synthetic division. 2. (3x4 + 5x³ -…

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Q: Given log, 3≈ 0.6826 and log, 81.2920, evaluate the expressions. (a) log, 2 (b) logs 75

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Q: IDE: Retest and Solve the D.E. 2y(x²-y+x)dx +(x²-2y)dy=0

A: The given differential equation is; 2y(x²-y+x)dx +(x²-2y)dy=0

Q: By considering different paths of approach, show that the function below has no limit as…

A: Here, the given function is: f(x,y)=x4x4+y2 1) Now, to find along with which set of curves is f a…

Q: 3.1 A farmer grows a certain type of a tree in a greenhouse and usually sells the tree after 4 years…

A: The height of the tree if given by the differential equation: dhdt=3.5t+15 ;      h(0)=14

Q: Suppose that f(x, y) = 9z+7y and the region D is given by {(x, y) | − 2 ≤ x ≤ 5, −2 ≤ y ≤5}. Then…

A: As we know the Power rule: ∫xndx=xn+1n+1+C   From the given region; The limit of y varies from y=-2…

Q: The system of first order differential equations y₁ = 0y₁ + 1y2 y₂ = -1y₁ - 2y2 where y₁ (0) = -4,…

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Q: By treating as an improper integral, evaluate namely by considering the limit and using l'Hôpital's…

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Q: Writee the first expression in terms of the second if the terminal point determined by t is in the…

A: tan(t) = sin(t)cos(t). sin2(t) + cos2(t) =1

Q: COS(X) sec(x) = tan(x) sin(x)

A: Given; 1/cos(x) - 1/sec(x) = tan(x)sin(x).

Q: In the figure below, set-up the integral expression when the area bound by the functions y = 1, y =…

A: The given region is bounded by the functions:y=1x,   y=x   and   x=4

Q: Find the volume of the solid that lies under the cone z = 7- (2² + y²) and between the range of 3 ≤…

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Q: Which of the following is the correct initial assumption for the particular solution yp of the ODE…

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Q: 4. [x - yarctan()]dx + xarctan()dy = 0

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Q: Sketch the graph of the polynomial function  2x^3 -5x+2  and the tangent lines at each of the…

A: According to question,Given Function,fx = 2x3-5x+2,We have to make graph of the polynomial function.

Q: Use a convergence test of your choice to determine whether the following series converge or 8 Σke…

A: According to question,Given Series,∑k=1∞ ke-k2

Q: in simplest radical form. Da √11 + √√3 √√11-√√3 √11 -√√5

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Q: 2. xdx + sin?() [ydx-xdy] = 0

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Q: (a) X = (b) X = 39(1/1) 81 logo = = X log₂ (x) = 5

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Q: 15 Local Extrema, Applied A Next week, we will look at some applications of Local Extrema, but we…

A: Please see the below picture for detailed solution.

Q: 4. Suppose that f(2) = 16 and that f'(x) ≥ − 3 for all x in the interval [2,7]. Determine the…

A: Given query is to find the value of f(7).

Q: Let s(t) denote the position of a particle at time t, and let v and a be the velocity and…

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Q: The system of differential equations : has the solution Y = where (in increasing order λ₁ < X₂ <A3):…

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Q: Perform the indicated operation if possible. -6 6 9 1 28 I -7 5 80 17 ... Select the correct choice…

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Q: Find the equation of the parabola that satisfies the given conditions.. Focus is on the x-axis;…

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Q: Question 5: A sine curve is shown on the graph below. y -5- -4 -2 0 -5- -10- 2 P 4 6 8 10 12 2

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Q: =f(x) = 3x5 10x³ + 5, on what intervals is ƒ"(x) > 0? Enter the (disjoint) interval(s) below using…

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Q: Find Integer bounds for the zeros of the function. (Find the largest lower bound and the smallest…

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Q: Find the derivative. f'(x) = f(x) = x³ - 12x² + 36x - 4 Find any critical numbers of the function.…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: get

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Q: 2.2 Given f(x) dx = 10 and ſº g(x) dx = −2, evaluate [g(x) = f(x)] dx b. [f(x) + g(x)] dx ₂2g(x) dx…

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Q: Determine if the graph of each function is increasing or decreasing, concave up or concave down, and…

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Q: Show that the homogeneous 2 2 family of integral curves x² + y² v=vx. equation y' - = 2xy leads to…

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Q: Topic:(separable differential equations with trigonometric functions) Question: Solve for y:…

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Q: Determine a pair of equations that can parameterize the curve ² = 4x - 5y - 6, using a(t) = t as one…

A: Express y in terms of x and then put x=t.

Q: Find the sum of the series n=0 3n 1 2 (3-1) 5n

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Q: Given the function graphed below, evaluate the definite integrals. -1 4 7 3 2 1 7 N -3 1 [ * = […

A: Graph:-

Q: b) In a geometric progression the sixth term is eight times the third term and the sum of the…

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Q: A stone is thrown straight up from the edge of a roof, 975 feet above the ground, at a speed of 20…

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Q: 5. Find the sum of the areas of approximating rectangles for the area under f(x) = 48 - x², between…

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Q: Consider the following acceleration a = a=32, v(0) = 10, s(0)=6 , initial velocity, and initial…

A: formula used  a=dvdt∫xndx=xn+1n+1+c

Q: Find the average rate of change for the following on [-4, 6]. What is the meaning of the number that…

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Q: (10) Find an approximate solution in the interval 0 ≤ x ≤ 4 to y"(x) = (2+x)y(x), y(0) = 0 Plot the…

A: Use difference method

Q: Find the quotient of polynomial expression using long method and synthetic division. 1. (x³ − 14x +…

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Q: Find a parametric description r(t) for the half-circle from (0, 10) to (0, 10) to the left of the…

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Q: Find all the values of t so that 9eBt > 0. Ot≥0 00 21/1/20 Ot< 1/1/2 9 -00 < t < 00

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Q: Find the critical points, domain endpoints, and local extreme values for the function. y=x4/5 (x+1)…

A: The solution is given below

Q: Find the radius of convergence and interval of convergence of the power series Σ n=0 n(n + 1) xn 4n

A: The given series is: ∑n=0∞ n(n+1)xn4n

Q: xp 6

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