Graph the given equation. 5x − 2y = 5

Q: Find the particular solution to the following differential equation using the method of variation of…

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Q: Problem 4. Convert the integral -X to polar coordinates and evaluate it (use t for 0): and d = b=…

A: Given that,             Let, the polar coordinates

Q: Let r(t) = (14, 15) g(t) = sin(31) Evaluate the derivative using the Chain Rule. (Use symbolic…

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Q: To turn a stubborn bolt, 80lb of force is applied to a 10in wrench, where the direction of applied…

A: we have given

Q: : Using Lagrange multipliers method find the extreme point of the following function

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Q: C) Find the area of triangle PQR. Give your answer in the form k√17 where k is an integer.

A: We have point Q(1,0,6) and R(17,4,-22). From part a , P(11,-5,-4).

Q: The following table gives some of the values of g(x), g'(x), ƒ(x) and ƒ'(x): Use the table to find…

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Q: What is the exact value of (57) ₂ 12 tan

A: To find the exact value of .

Q: (2) The sequence {(1-2¹), A) converges to e7 n=1 B) converges to e-7 C) converges to -7 TL D)…

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Q: , x² - x √x dx

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Q: c) If -3x5 + x + 4y² - 7y = 13, find da in terms of x and y.

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Q: Use the Laplace Transforms to solve the following IVP (Initial-Value Problem) y" - 3y + 2y = 0, y(0)…

A: We can solve the given Initial value problem by using the laplace transform formulas.L(y") = s2 Y(s)…

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Q: Find functions f and g such that h = go f. (Note: The answer is not unique. Enter your answers as a…

A: The given To find the functions  and .

Q: Parametrize the intersection of the surfaces y² - z² = x - 7, y² + z² = 36 using trigonometric…

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Q: Find the rules for the composite functions fo g and 8x² + 9x + 4; g(x) = x + 7 fog = f(x) =

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Q: Hey! I have to diferenciate the function f(x)=2^70. Thus find f’(x), thank you

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Q: On a high school campus of 1,500 students, one student spreads a rumor about a high school prank.…

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Q: Find the area of the region bounded above by y = x + 2 and below by y * -4 -2 0 2 4 -2- x²

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Q: Evaluate h(4), where h = go f. h(4) = 3 f(x)=√x²9, g(x) = 7x³ + 9

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Q: If fand g are continuous functions and ♬*) ≥º for all real numbers x, which of the following must be…

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Q: The graph of x 2 3 is concave downward for all values of x such that:

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Q: Which of the following will not give the instantaneous rate of change of f(x) with respect to x when…

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Q: Let Þ(u, v) = (7u + 9v, 9u + 2v). Use the Jacobian to determine the area of $(R) for: (a)R= [0,9] ×…

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Q: 26. Find a vector perpendicular to both ☎ = [1, 2, 3] and 5 = [3, 2, -1].

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Q: In(x) lim x 1 x 1

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Q: Evaluate the integral. (Give your answer using component form or standard basis vectors. Express…

A: Given

Q: xy' -) Find the general solution of +2ln(y) = 4x² y

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

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A: we have given graph of a function from which we need to find out that is function is even or odd or…

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Q: Use variation of parameters to solve the initial value problem

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Q: Find an equation for the tangent and normal line to the curve at the indicated point.…

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Q: Determine whether the given function is a polynomial function, a rational function, or some other…

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Q: Find an equation of the tangent line y(x) of r(t) = (tº, t²) at the point t = 1 (Use symbolic…

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Q: III. Given the region R bounded by a = -1, y = 2³, and y = −²+2. Set up a (sum of) definite…

A: The upper bound of y in region R is given by the curve  and the lower bound is given by . The left…

Q: Determine whether the equation defines y as a linear function of x. -4x² + 6y + 2 = 0 Yes No If so,…

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Q: Find a parametrization r(t) of the line through the origin whose projection on the xy-plane is a…

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Q: Book Design A book designer has decided that the pages of a book should have 1-in. margins at the…

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Q: Evaluate the telescoping series or enter DNE if it diverges. 8 Σ4 - 4 n+1 = n=1

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Q: A path C is defined by the parametric equations x(t) = t³, y(t) = t², 0≤t≤ 1, and a vector field is…

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Q: J2 29 1 3 √x - 2 Vx dx.

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Q: find the derivate a. * or b ㅋ

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Q: (c) What is the profit function? P(x) = (d) Compute the profit (loss) corresponding to production…

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Q: Evaluate the Integral dx |. 1 + 2 ax X² 2

A: Consider the integration."Note that as per the rules, we are supposed to answer the first question…

Q: lim Problem.6. Evaluate 8118 work. (x+2)(2x-6) (x-3)(5x+1) . Show all

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Q: Find the area of the surface. the part of the cylinder x² + z² = 64 that lies above the square with…

A: Take the partial derivatives and  form the integral to get the area.

Q: An equation of the line tangent to the graph of x)=x(1-2x)3 at the point (1,-1) is: y=-7x+6 y = - 6x…

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Q: Q4: Use the Lagrange multiplier method to Subjected to min f = (x₂ - 1)² + x₂ 0 = x₁³ - 2x₂

A: Given that,          Let, the Lagrange function

Q: Find the Taylor series for B Σ (-1)" ΟΣ (x-1)^ n=0 2" (-1)" #=0 2"+1 1 x+1 ΟΣ ΟΣ © Σ+(x-1) " at x =…

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Q: The total cost (in hundreds of dollars) to produce x units of a product is 2x - 7 C(x) = 9x + 1 Find…

A: If C(x) is the cost function then the average cost function is given by.           The marginal…