Find a set of parametric equations where 0 ≤ t ≤ 1 that models the line segment from (7,-8, 10) to (-4, —10, 1). x(t) = y(t) = z(t) =

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A: find critical points

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Q: R3 = Then improve your estimate by using six rectangles. 6 = Sketch the curve and the approximating…

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Q: CSCX- cotx SOCY

A: The expression is given as  cscx-cotxsecx-1 .

Q: Draw the level curve of height 0,1 and 2 for the function f(x,y)=x2+2y.

A: The function is f(x,y)=x2+2y Height are 0,1,2

Q: Find both critical points of f(x) = x³ – 3x + 4 Assuming ₁ and 2 are critical numbers of f(x) x1…

A: given  f(x)=x3-3x+4→ for finding critical points put f'(x)=0we know,  d dx(xn)=nxn-1  and  d…

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Q: For which integer n, 0≤ n ≤ 3, does the IVT say that f(x) = x³ − 9x +3 has a zero in the interval…

A: Given that : f(x) = x5 - 9x +3  has a zero in interval [n/4,(n+1)/4].   Here i attached the solution…

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Q: 16. f(x) = x², -1<x<2

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Q: 1 Find the orthogonal Projection U<1, 1, 23 onto № 2-2, 3, 1 h And its orthogonal Componet to V

A: To find projection of vector u orthogonal vector to v.

Q: Given that:  f(x)= x7h(x) h(-1)=3 h'(-1)=6 Calculate f'(-1):

A: Given;

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Q: If they exist, find the x-intercept(s) of the function f(x)=2 x²-7x+12. O (-3,0), (-4,0) Of(x) has…

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Q: Subject :  Calculus

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Q: The total cost in dollars of producing x coffee makers is C(x) = 2500 + 30x — . Find the exact cost…

A: The total cost in dollars of producing x coffee makers is Cx=2500+30x-x25

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Q: Find the general solution of the given equation. y" +225y = 0 Choose the correct solution below. c₁…

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)…

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) =…

A: To solve the following problem using mean value theorem

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Q: Find fina x=ė dy dx d'y dx 2 y = te=² find which values of + 11 is convave he would.

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Q: Which integral would represent the area shown? 3 2 1 0 1 2 - ليا 3 4 5 6 Of(√x+1) dx Of (√x+1) dx ○…

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Q: What is the area of the integral of f(x) = x + 3 within the interval [-2, 1]? 43 -2 -1 O 2.5 O 7.5…

A: Consider the figure

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

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Q: Question 2. V1 V₂ V3. (1,1,0). x,%2 a) Find the parametric equations of the line passing through…

A: First find the direction vector then use this to get the parametric equation of the line.

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Q: he demand curve for a certain product is given by p(q)=505−q2

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Q: The theater you work at has a total of 500 seats and sells three different types of tickets: -…

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Q: The cost, in dollars, to produce a vats of ice cream is C'(x) = 8x + 6. When selling them to ice…

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Q: 3. For each power series, find the interval of convergence and the sum of the series as a function…

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Q: f(x) = (4+2)x+tan¯¹ x (i) the interval(s) on which the function f is strictly increasing or strictly…

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Q: Evaluate the line integral Já x¹ z ds, where C is the line segment from (0, 7, 1) to (8, 1, 2).

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Q: 11. Practice similar Help me with this Given the geometric sequence: 27, 6.75, 1.6875,... Find an…

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Q: y ²x ²dy + 4xydx = 0

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Q: Given the cost function C'(x) x³ - 6x² + 13x + 15, find the minimum marginal cost. *Do not include…

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Q: On the interval [0, 27) determine which angles are not in the domain of the given functions. What…

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Q: Find the slope of the line tangent to curve y = x³ - 2x +1 at x = 1 A. B. C. D. 1 1/2 1/3 1/4 Give…

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Q: Find the equation for conic that satisfies the given conditions. Conic:parabola Focus:(4,2)…

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Q: A. Sketch the region enclosed by the given curves and decide whether to integrate with respect to x…

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Q: Find the slope of the tangent to the curve y = 4 sin³2x at x = 2/6

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Q: Find the​ consumers' surplus at a price level of p=​$150 for the​ price-demand equation below.…

A: The price demand equation is p=Dx=200-0.05x

Q: Consider the function f(x) = 4 - 2x², - 5 ≤ x ≤ 2. The absolute maximum value is and this occurs at…

A: given,  f(x)=4-2x2,  -5≤x≤2