For the family, x2 + 3y2 = cy, find that member of the orthogonal trajectories that passes through (1,2)

Q: Determine whether the series is convergent or divergent by expressing s,, as a telescoping sum. If…

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Q: Find all values of t at which the parametric curve has (a) horizontal tangent line and (b) a…

A: The given data is: x=2sinty=4cost0≤t≤2π

Q: 1 1-x ●y= 1 X-- 1-x x+

A: In this question we have to find differentiation. Note: As per our policy we are suppose to do only…

Q: Use a calculator to find the length of the curve correct to four decimal places. If necessary, graph…

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Q: Find an equation of the tangent(s) to the curve at the given point. Then graph the curve and the…

A: Given: x=6sint,y=t2+t To find : Tangent at (0,0) we know that equation of tangent at (h,k) with…

Q: Graph the following functions by the method outlined below: i) plot all x-intercepts and all…

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Q: Solve the system equation A) x+2y-z=3 2x-2y+z=6 x-4y+z=1 B) x-y+z=6 x+y+z=2 x-y-z=4 C) -x+2y-z=0…

A: A) x+2y-z=3.......(1)    2x-2y+z=6.......(2)    x-4y+z=1..........(3) summation of equation 1 and 2…

Q: Textbook Let f(x) = 9ln(x). Then f'(x) is and f'(12) is ✔Videos [+] f''(x) is and f''(12) is…

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Q: Graph the following functions by the method outlined below: i) plot all x-intercepts and all…

A: e) To find the x-intercept, substitute in  0 for y and solve for x. To find the y-intercept,…

Q: For the function f (x, y) = (3x - 5y2) 5 +exy, find f (x,y) XX 180 (3x - 5y2) 3+ y²exy 15 (3x - 5y2)…

A: Given f(x,y)=(3x-5y2)5+exy  We need to find fxx(x,y)

Q: Find the (linear) equation of the tangent plane to the surface z = x sin(x + y) at the point (5,…

A: z= xSin(x+y) at point (5,-5,0)

Q: 4) Let g be the piecewise-linear function defined on [-2π, 4л] whose graph is given to the right,…

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Q: Find the point, P, at which the line intersects the plane. x = -2 -2t, y = −4 − 7t, z = − 7 – 10t;…

A: First satisfied parametric points on equation and find value of t then put value in x,y, and z that…

Q: Compute A-1, if it exists, using the method of Example 1. (If an answer does not exist, enter DNE.)…

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Q: Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim…

A: let I=    limt→2t2-8t3-3t+72 put  t=2

Q: Use the Chain Rule to find dz/dt. dz dt - Z = = √6 + x² + y²₁ x = 6 In(t), y = cos(t)

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Q: What is the integral of secx?

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Q: lim p(v) lim 7. V→1 V→1 = Find p(1). p(1) = p(v) = 7√ 5v² + 4, = 7 lim = ²√ v→ 1 = 7. = 7 = lim v→ 1…

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Q: Find the first and second order partial derivatives for the multivariate function f (x,y) = xy 1)…

A: f(x,y)= xy-y/x+ex log2y

Q: 6.50 Prove that 241 (52h -1) for every positive integern. Proof: We proceed by induction. Let P(n):…

A: Your proof is correct except for a few points. Please look at the corrections mentioned below. (The…

Q: Maximize the function f(x, y) = xy² on the ellipse ¹x² + y² = 1.

A: Given f(x,y)=xy2We need to maximize the function on the ellipse x29+y24=1

Q: Use the first derivative to find all critical points and use the second derivative to find all…

A: we need to find out the critical points, inflection points and also need to sketch the graph

Q: Find the equations of any horizontal, slant or vertical asymptotes of the graph of 2x¹8x³ + 3x - 12…

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Q: The matrix D is defined as follows. Use a graphing utility to carry out the indicated matrix…

A: Let's solve.

Q: Test the series below for convergence using the Root Test. 3n + 5 n=1 (27 2n + 4 f(n) The limit of…

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Q: Question Consider a cost function of the form Select the correct answer below: O MC = C'(x) Which of…

A: Solution is given below:

Q: Use the following three identities to evaluate sin 10x cos 7x dx. sin sx cos tx = sin sx sin tx =…

A: The given integration is: ∫sin10x cos7x dx To find the value of the given integration.

Q: Use the first derivative to find all critical points and use the second derivative to find all…

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Q: Find the area enclosed by the x-axis and the curve 5. x = 1 + et, y = t-t²

A: Let's find area.

Q: c) Has a vertical asymptotes at x = 2 and x = -3, a horizontal asymptote at y = 1, and x-intercepts…

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Q: ӘР Find and дх w = exy. ӘР when x = 0, y = 2 if P = √u² + v2 + w², u = xey, v = yex, and ду

A: Given x=0y=2P=u2+v2+w2u=xeyv=yexw=exy

Q: Given f(2)=3e²-3 df dz Question Help: Message instructor

A: Find the derivative

Q: Consider these tables of cell means. Which one shows a possible interaction, and which one does not…

A: The given table is: Table 1   B1 B2 A1 10 15 A2 20 25 Table 2   B1 B2 A1 10 25 A2…

Q: Given that 1 X = n=0 find the power series for x" with convergence in (−1, 1), 7.5 1 + 9x5 with…

A: Concept: When a series becomes closer to a particular value as it gets closer to infinity, it is…

Q: . Evaluate the following integral or show that they diverge. ekz L (ebe + 52 de 5)²

A: Given query is to find value of the integral.

Q: Find the area bounded inside both r = sin θ and r = sqrt(3) cos θ.

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Q: Find the second order partial derivative Y (x,z) XZ of the function Y = - *2 Y (x,z) = XZ Y (x,z) =…

A: Yxz(x,z)= 10z/x2

Q: The graph of y= 2a +5 looks like: -10 10 1,0 We should notice that our line's y-values may change…

A: given graph of y=2x+5

Q: Consider the rational function f(x) a. Determine the vertical intercept of f. f(0) = b. Determine…

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. 1.…

A: Given:       r2=9sin2θ ; r≥0,0≤θ≤π2   The area of the region described by the polar curve r=fθ is…

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the…

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Q: QUESTION 4 Find the first order partial derivative z of the function z = 4x² - 8x³y3 +6y4+10 y at…

A: Please see the below picture for detailed solution.

Q: Determine whether the following series converge: a. Σ∞k=1 (1/√k3)

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: we need to find out the equation of the tangent line.

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A: We have to find the value of c using Rolle's theorem.

Q: e) h(x)= x-6 x²-36

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: QUESTION 3 Find the second order partial derivative Y (x,z) XZ of the function Y = Y (x,z)=- XZ Y…

A: Differentiate two times first x then z

Q: Find the area of the region bounded by graph of y=4-x^2 and y=0

A: The given curves are y=4-x2 and y=0..   Now find the point of intersection between the given curves.…

Q: ind dy/dx and d²y/dx2 at the given point without eliminating the parameter. X= x= √√t, y=2t+4; t=1

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Q: Determine the characteristic polynomials, eigenvalues, and corresponding eigenspaces of the given 3…

A: The given matrix, 157-7-111137-5 We have to find the characteristic polynomial, eigen values and…