2t2 + 3, y = 6t – 1 at the point whose 3. Find the equation of the normal to the curve defined by x = parameter ist=-1.

Q: Find the area bounded by the curve y=x^2 − 4, the lines y = 0 and x = 4

A: The graph is shown below:

Q: Describe the graph of the equation. r = 8 cos t i – 17 sin t j + k O An ellipse in the plane x = 1,…

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Q: Find the point at which the line intersects the given plane. x = 4 – 4t, y = 5t, z = 1 + t; x + 2y -…

A: We have to find the point at which the line intersects the given plane.

Q: f(x) - 3x- 10 X-4 a) Determine symmetry near the asymptotes and asymp totesand behaviour of fo) b)…

A: If f'(x) >0 then f(x) is increase and if f'(x) <0 then f(x) is decrease.

Q: Find the particular solution y = f(x) that satisfies the given differential equation and initial…

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Q: Find the graph of the equation 9x 2 + 4y 2 - 18x + 8y - 23 = 0.

A: We can solve this problem by using graphing calculator

Q: 18 4. Determine the equation of the tangent to g(x) = at the point (1,2). (x+2)2

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Q: ry? in the r-direction at the point (2,3) is. 2. The slope of the surface z = slope of this surface…

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Q: dy Suppose 2e-2* and y(1) = 4. dx What is y(2)?

A: Given,  dydx=2e-2x and y(1)=4

Q: e the given graph of the function ƒ to determine the type of discontinuity at each æ-value.…

A: Given problem:-

Q: Use differentiation to find a power series representation for n=1 1 (5+ x)2

A: We have to find the power series expansion of the above equation.

Q: What is the largest value of x for which the series (x- 3)" n°87 is absolutely convergent? Yanıt:

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Q: y

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Q: A small hula-hoop was rolled on the ground.  After rolling exactly 6 times, it went 37.7 feet.…

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Q: Consider the hyperbola y? 25 1 144 What are the vertices of this hyperbola? Enter your answer as two…

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Q: If a club consists of 13 ​members, how many different arrangements of​ president, vice-president,…

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Q: Evaluate the indefinite integral. Sa V1 – x? daæ - cos° 0 – cos' 0 +C } (1 – a²)%/2 – }(1 – 2²)/² +…

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Q: 4. Find the absolute extrema of the function f(r, y) = ry-I-3y on with vertices (0,0), (0, 4), and…

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Q: 3. Supply the missing integrand and limits of integration. 61y drdy fip (b) 62y dydz =- dr

A: Solve it.

Q: sin u cos v

A: This is a product to sum formula. This is a direct formula and here I m providing the formula onthe…

Q: Write the equation in standard form of the circle whose diameter has endpoints of (-2, 4) and (8,…

A: Given,            The circle whose diameter has endpoints of -2,4 and 8,-6.To find : Write the…

Q: Activities in Inverse Trigonometric Functions dy Find the dx 1. у %3D sin-12х — V1— 4х2 2. у %3D…

A:

Q: 6. Determine the derivative of each function. (a) f(x) = (-4)e5x+1 (c) ƒ(x) = 63x-8 (b) f(x) = xe 3x…

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Q: 8) Find the linearization of f(x) = 6 + X+1 tan 4 dt at x = 0. 1.

A: On solving this we will get

Q: Find the gradient of the function at the given point. w = x tan(y + z), (14, 11, -6) Vw(14, 11, -6)…

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Q: For the following conditions, where "x= number of roses" and "y= number of daisies", determine…

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Q: Given 1 2 3 0 14 X y 5 6 0 W Find the value of "w". NOTE: Just give the answer for w. Answer:

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Q: Q9. Find the equation of the tangent plane to f(x, y) = x In(y) + x²y+3 at the point (x, y) = (2,…

A: Consider the equation of the form          F(x,y,z) =0 then the equation of the tangent plane to the…

Q: Find the particular solution of the following ODE given that y(0 d’y +y=e* dx

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Q: Show tkat cos (2 I +x

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Q: Two linearly independent solutions of the differential equation y" + 2y' + 4y = 0 are Select one: O…

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Q: 6. A square plate 3 ft on each side is submerged with the top side parallel to the surface, 5 ft…

A: This is a problem related to force exerting on square plate by water. Based on Archimedes principal…

Q: What is the length of a highlighter marker is it centimeters or meters

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Q: mlar

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Q: Find an equation of the plane. The plane through the point (7, 0, 5) and perpendicular to the line x…

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Q: Write the general equation for the circle that passes through the points (- 5, 0), (0, 4), and (2,…

A: Given -5,0, 0,4, 2,4 To find general equation of circle:

Q: Evaluate the indefinite integral of f(x) : = x sin x sin x + x cos x + C COs x x sin x + C - sin x x…

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Q: 16 In general conic form, what is the equation of the circle whose center is at the origin and…

A: The general equation of the circel with center (h,k) and the radius r is given by:…

Q: QUESTION 4 At noon, Ship-A is 210 miles east of Ship-B. Ship-B is sailing due east at rate of 30…

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Q: |r'(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = ti+ t°j к()

A:

Q: Find the extremum of z =x + y subject to x + 5y = 4. Set up the Bordered Hessian matrix to determine…

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Q: 72n+1 E(-1)" 22n+1 (2n + 1)! n=0

A: Explanation of the answer is as follows

Q: Find the are bounded by the curve y=x²-4, the lines y=0 and x=4.

A:

Q: Find all critical points of the function f(x) = x³ – x² – 54x + 10. (Use symbolic notation and…

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Q: 2. (6x -2) dy d2

A: In the given question we will use the formula for that double integration ∫x=pq∫y=rtfx,ydydx Where…

Q: Provide a step-by-step solution to the following differential equation (linear quation) 2(2xy + 4y…

A: To solve the following linear differential equation.22xy+4y-3 dx-x+22 dy=0

Q: Given the curve y=x2 and a point (5,17) Find the x intercept of the tangent line to the curve…

A: We have to find x-intercep for the given Questions

Q: Determine the equation of the tangent for f(x)=sinxcosx at x=π/3. Answers in exact value.

A: Equation of tangent is y-y1 =m(x-x1 )

Q: J 2 sec sec x tan tan x dx

A: Let's find.