e (25x) lim e x→2+

Q: Solve the given differential equation by using an appropriate substitution. dy dx -= (x + y + 6)²

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Q: and Continuity Worksheet o determine whether the function is continuous at the point. x² + 2x - 3…

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Q: Find the linearization of the function ƒ (x) = = L(x) ab B (-2)x-3 X -1.1 86 -1.01 a -1.001 √a |a|…

A: The given function

Q: 5. The vertices of parallelogram ABCD are: A(3, -2, 4), B(-2, 0, 5), C(3, -5, -4) & D(x, y, z). a)…

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Q: Use Lagrange multipliers to find the points on the cone z² (x, y, z) = smaller z-value larger…

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Q: 27. Σ Σ(3) n τη

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Q: 29. Σ( H = -4

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 7x+3y-4z+8=0, determine: 6. For the plane (a) its z-intercept. (b) one vector equation of the plane.

A: X/a + y/b + z/c = 1 is intercept form of plane

Q: Use the graph below to find the indicated limits. If a limit doesn't exist, state DNE. If v doesn't…

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Q: 9. g(s)-f(t-12) dr 11. 10. h(u) = dr dt F(x)=√1 + sect dr [" Hint: f√/1 + sec t dt = -√ √/1 + sect…

A: Let f be a continuous real-valued function defined on a closed interval [a, b]. Let F be the…

Q: State the domain for the function: h(x) = -4*-1 O (0,00) O (-∞, -1) (-00, 0) (-00,00) O l

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Q: 4. Given two unit vectors, m and ñ, and the angle between these two vectors is 70°, calculate (6m +…

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Q: 21. If u and are collinear and the magnitude of u is 7 times the magnitude of v, write an expression…

A: As per the Bartleby guidelines, answering only first question as the other questions are not the sub…

Q: dy Solve the given differential equation by using an appropriate substitution. The DE is of the form…

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Q: (4) Find the derivative: - -In dx |1–cosx sin x

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Q: n n=21n3 + 1 +1 39. Σ

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Q: If R is the region between the graphs of the functions f(x) = 4x³ + 9x² + 7x-3 and g(x) = 5x³ + 2x²…

A: Two function are given÷f(x) = 4x3+9x2+7x-3g(x) = 5x3+2x2+17x-3We need to find the area between the…

Q: You will integrate the following rational function: 20x+5 da S (x-7)(x²-4x+8) To do this, start by…

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Q: 4) Find дz Əs when r = 2 and s = 0, if: z = 2x²y = x + y x = 1+s y = ers

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Q: Evaluate the integral: I√16 + x² da (A) Which trig substitution is correct for this integral? z = 4…

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Q: Calculate the arc length of y = 3x + 1 as a varies from 0 to 4. S =

A: Given that ,Calculate the arc length.

Q: Given f(x)= (a) lim f(x) 4-6- (2-3x x 6 (b) find each of the following: lim f(x) x-6+ (c) lim f(x)…

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Q: Given f(x) = 1|. x + 1 x + 1 Find: lim x→4¯ f(x)

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Q: In Exercises 17-28, use the Direct Comparison Test to determine whether the infinite series is…

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Q: 9. Determine the exact point on the line x + 2y = 2 that is closest to (0, 0).

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Q: Given the function h(x) = 3x 1 find the inverse function h¹(x). " 2x - 1'

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Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A: The company's revenue is modeled by:-

Q: The position function of moving body is given by the equation s(t) = −5+ 5 cos t (s in meters, t in…

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Q: (b) x² + y² = 9, z = 4

A: Here we have to describe about the equation. Please select text to grab.

Q: TT. J V lim_x²e-5x x→∞

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Q: lim t→0 4t² + 3t sin t +2

A: To evaluate the following limit.

Q: 1 x(ln(x))² L e dx

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Q: The position of Minnie the mouse, as she moves back and forth along a horizontal line is given by…

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Q: 2. Determine the derivative of the function f(x) = 2e* cos³ x. Leave answers in simplified factored…

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Q: 7-18 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7.…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: Consider the following function. f(x, y, z)=√√x² + y² + z² Find fx(x, y, z), fy(x, y, z), and f₂(x,…

A: We have,    f(x) = √(x2 + y2 + z2 )Point: ( 6 , 2 , 9 )

Q: Consider the curve f(y) = 7y over the interval 0 ≤ y ≤ 1. Use a calculator to find the surface area…

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Q: Evaluate the following: To evaluate the limit of the expression lim(x,y) →(0,0) (xy + 1)/(x^2 + y^2…

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Q: Evaluate the integral. Step 1 dx 62 (7²-11³/2

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Q: c. SET-UP only the definite integral that will give the area of the region bounded by y = x√x² + 1,…

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Q: If you know that Q(x) is a quadratic function and that Q(3) = 12, Q(10) = 11 and Q(1) = 10 then: - |…

A: If you know that  is a quadratic function and that and , then to evaluate the following integral.

Q: 10. Given X(7,3) and Y(-6,2), find the coordinates of any point Z such that XZ XY = 41. .

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Q: 1 Si 1+z2 da is convergent because 1+z² Jhry sin x and ₁ sin² x dx is convergent. sin² 2.₁ side is…

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Q: Use the disk method to find the volume of the solid of revolution bounded by the x-axis and the…

A: Region bounded by x-axis and Using Disk method , Volume of solid of revolution about x-axis will be

Q: Use Lagrange multipliers to find the points on the cone z² = x² + y² that are closest to the point…

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Q: Consider the region bounded by the graphs of y = x², y = 30, and x = 11 in the first quadrant. What…

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Q: Find the value of x that will make perpendicular to . Give at least two decimal places when…

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Q: Find the area that is enclosed by the following lines: y=2x-x^2+3 y=x^2-4x+3 Draw the figure and…

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Q: Which of the following gives the volume of the solid of revolution obtained by rotating the region…

A: Note:- According to the company policy we can attempt only one question so please upload the next…

Q: 2. Prove that fo So dx=3(2-√2)

A: We need to solve integration problem.