1: Evaluate the integral 3x - 1 (x + 4)(2x - 1) I -dx.

Q: f(x, y) = 75 + 8x+5 Find fx, fxy, and fxyx. 8x³ e-8y

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Q: Find the general solution of the following differential equation. y" + 4y + 8y = 0 NOTE: Use cy and…

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Q: If f(x, y) = x cos y, then fry(0, 1) = ? Select one: O 1 -1 O None of them sin y

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Q: Work problem 2 (1 Let w(x, y) = 5x - 5y - x² + 5y³, x = cos(t) and y = -sin(3s). Use chain rule to…

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Q: 1. Determine whether the resulting series when x = -4 absolutely converges, conditionally converges,…

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Q: If f(x, y) = In (x² - y) -x + y + 1 then the domain D of the function f is given by the set

A: Given :fx,y=lnx2-y-x+y+1

Q: Evaluate: 0 tan¯¹ (0) do

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Q: 4. (xy² + 2x²y³) dx + (x²y - x³y²) dy = 0

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Q: After successfully passing the Technical Written Examinations, you're now at the PRC Main Office ta…

A: Given: there are 5 registrations specialist on different windows faciltaiting registrations, the…

Q: If p = (7, 2) q = (5, -1), find p - q.       a)  p - q = (2, 1)   b)  p- q = (12,1)   c)  p - q…

A: p = (7, 2) q = (5, -1), find p - q here we have to make substraction of set here we have to…

Q: For the curve f(x) = Find the horizontal and vertical asymptotes. x-4x² +2 x² - 4x +4

A: This question can be solved using the concept of horizontal and vertical asymptote of rational…

Q: Let A = A(r) give the area of a circle of radius r. The instantaneous rate of change of the area as…

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Q: The area bounded by the x-axis, y = x², and y = 2 - x.

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Q: Find the angle between the vectors in radians and in degrees. (Round your answer for part (a) to…

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Q: Starting from the same point, Angela starts walking eastward at 6 m/min while Jessica starts running…

A: Please see the below picture for detailed solution.

Q: If we use the trigonometric substitution sec(x) 5 then we get t = √25t² - 1=tan(x) Select one: O…

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Q: d. graph y = f(x-2) e. graph y = f(x)+3

A: We have to draw graph as instructed in question.

Q: Region A is bounded by the parabola x = y², the line y = 1, and the y-axis. Region B is bounded by…

A: As per the instruction, we will be answering the first question. Given: We need to find the volume…

Q: 8. Find the first two non-zero terms of the Taylor expansion for function f(x)=sin x and a given…

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Q: Assume mmh (x) = f(g(x)) such that the first an exist g Second derivatives of both of and What is b"…

A: Assume h(x) = f(g(x)) such that the first and second derivatives of both f and g exist  We have to…

Q: Find the solution of the given initial value problem. y(4) 10y""+25y" = 0; y(1) = 10 +e5, y'(1) =…

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: 1 x xy 14. JJ j dz dy dx 0x²0

A: We can find the value of the integral.

Q: 2. Solve the following 4th order linear differential equations using undetermined coefficients: y…

A: We need to solve D.E.

Q: 8. Use the graph of the function f to find the following: 13 (-5,0) 4 -3 -2 -1 (-3,-2) 3 2 H (-1,-2)…

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Q: A solid figure projects the same shape on the x-y, y-z, and x-z view. Which of the following…

A: Note that the sphere will projects circles on the xy, yz and xz view.

Q: Find the area of the region bounded by the curve y=x²-1 and the line y = 24! The area is

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Q: he domain of the fur

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Q: Question a) b) 2xy Consider the function f(x, y) = 4x²+5²- Find the domain of f. Show that the limit…

A: To find out the domain

Q: Question a) b Let f(x, y) = x³-4xy² x²-2y Find the first partial derivatives of f. Determine whether…

A: According to question,Given Function,fx, y = x5 -4xy2x2 - 2y

Q: A right circular cylindrical container with volume 167 cm³ is to be made. Use the method of Lagrange…

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Q: A dam has a semi-circular gate at the bottom that is 4 m in diameter. The dam is 12 m high and…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Solve ODE (1 + x²)dy + (xy + x³ + x)dx <=0

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Q: 6. If z = x + iy = (x, y), then the equation z²+z+ 1 = 0 is written as (x,y)(x, y) + (x, y) + (1,0)…

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Q: Write The Green's Theorem in the plane relating double integrals and line integrals. (Please, don't…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine any planes that are parallel or identical. (Select all that apply.) OP₁: -60x + 90y + 120z…

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Q: Let Find fa, fay and fryz f(x, y) =In(xy)-26x¹0 y 10

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Q: What is the integral of f sin² x cos²x dx? O cos(z) sin³ (2) cos(z) sin(z) + 4 4 O sin(4x)+4z 32 +C…

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Q: 1 2 x² +6x+18 -dx

A: A detailed solution is given below. We know that, ∫dx(x+a)2+a2 =  1a tan-1x+aa + c

Q: a) b) exist f(x, y) = x²yesy 8x²+7y² Find the domain of the function f. Show that lim f(x, y) does…

A: According to question,Given Function,fx, y = x2 y e5y8x4 + 7y2

Q: y-values 86 9* 7- 6 5 4- 3- 2 1 g(x) 1 2 3 x-values If f(x) = g(h(x)), then ƒ' (1) = Submit Question…

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Q: Evaluate: 0 tan-¹ (0) de arctan(0)—0 2 giarctan0+ + C arctan0+ arctan(0)–0 2 -arctan0+C 0–arctan(0)…

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Q: z = (x + y)², x = s²t, y = st². Use the Chain rule to find dz for t = 1 and s = 2. ds

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Q: A y=1 x=y² B y=x² C (1, 1) X=1 X (0,0) Region A is bounded by the parabola x = y², the line y = 1,…

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Q: 9 Evaluate f 99√x 30-x2 -x² 2 dx.

A: ∫4999x30-x322dx

Q: 2 Evaluate f 9t2 (t³+1)ž Answer: 3 dt.

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: To find sets of parametric equations and symmetric equation of the line that  passes through the…

Q: 2n Consider the series ₁ (-1)" (1 + 1)². Which of the following statements is true? n=1 The series…

A: A series ∑n=1∞ an is said to Converge Absolutely if the series ∑n=1∞ an converge and Conditionally…

Q: If f(x, y) = x³y + cos(x) then (fa, fy) = (3xy - sinx, x³). Select one: O True O False

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Q: Find (²-1) ln(x)dx

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