Enter a whole or decimal number, or DNE for does not exist or undefined. |0x| lim (5+10=¹). [ - -0+z

Q: Let f be a function which has an inverse and let f(-1) = 2. If Q is the surface of revolution…

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Q: = Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x)…

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Q: The gradient of the tangent to the curve y=-3x³ + 4ax² - 5x + 4 at x = 1 is 2. The value of a is 2.…

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Q: Consider the vector-valued function 4t-8 [{m(3. In(3-t), 5,31²-8 8 R(t) 4-1² (0, -1,4), 1. Find the…

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Q: 3 So² √(√₁² - ²√₁²³) ²³ a dt

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Q: x-4 x²+2x-15 Inx+51-Inx-31+ C 8 Option 1 S: dx 1 (x + 5)⁹1 Je In + C + x-3 -100 1 9 In|x + 5|ln|x −…

A: We can find the answer as below

Q: rve (y+1)2 = 4x3 from x=0 to x=1? (4) =q8

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Q: Evaluate the y' and Simplify the answers Inverse trigo functions y = √x² - 4 + 2arc(csc)

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Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂ : r = 2-2 sin (in red) and let R be the…

A: Let's solve. Two curves given r=3 and  r=2-2sin(theta).

Q: A product can be produced at a total cost of C'(x) = 500 + 100x2 + x³ dollars, where x is the number…

A: Given that; Cost function and revenue function.

Q: Using trigonometric substitution to solve x-2√4 – x²dx = f f (0)d0. What is (a − b + ²)? A B U D I…

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Q: Evaluate J (2a² y +9y³)dA, D is the region bounded by y www 33522 a. 5 O b. 4811 5 OC. None of the…

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Q: ector equation of the line that...... gh (3,9) and (-7,1) b) is perpendicular to the line 5x-3y-8= 0…

A: We will solve the problem

Q: d The series is divergent. . Ignore "Give your reasons" below. There is no need to give reason.…

A: False , we this sum is convergent

Q: Ex: If w cos(uv), u = xyz, y = TT 4(x²+y²)' aw find at point (1, 1, 1). əx

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Q: a. Use the definition mtan = lim f(a+h)-f(a) h h→0 b. Determine an equation of the tangent line at…

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the…

Q: Find the Area of the Surface obtained by rotating the curve about the x-axis y = cosh x, 0≤x≤1

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Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂:r = 2-2 sin (in red) and let R be the…

A: Given that polar curves  C1 : r = 3  and C2 : r=2-2sinθ  we have to find all points of intersection…

Q: Given: planes II₁: 2x - 5y + z = -1 and II₂ : x + 5y +z = 5 intersecting on a line l (b) Determine…

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Q: Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y=-2 about the…

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Q: Let P be the point with Cartesian coordinates (6,9), and C be the plane curve with parametric…

A: The parametric equation,x=t2-t and y=2t3-1123

Q: NIM Let line l: x = = and point P(1,0,1). 2 Find the parametric equations of the line parallel to…

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Q: 3x + 2y = 6; x = 0; y = 0; axis OY. Find the moment of inertia.

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Q: Find the distance from the point P(1, 2, −1) to the line passing through the points A(−2, −3, −5)…

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Q: Find the area bounded by the parabolas (x - 1)² = 4ay and y² + 4a = 4ax.

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Q: & 38. Evaluate: √x dx A. x4/3 + C 3 4 C. ³x5/3+C B. x³/4 + C D.x3/5 + C 39. Evaluate: fx(4x - 3)dx…

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Q: Find the derivative of f (w) = 7ln (w) + 18.

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Q: Find the acute angle between two tangent lines at point of intersection between two curves xy = 5…

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Q: If f(x) = 10x + 17, find f'(-3).

A: Given,  f(x)=10x+17 f'(x)=10

Q: Find the area bounded by the parabolas (x - 2)² - 9py = 0 and y² = 9p(x-2).

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Q: Evaluation. 1. Determine the antiderivative for each. Show complete solution. √ 5x³=3 dx 2. √(√x√x +…

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Q: 156. Find the area of the region D, bounded by y = √4x², x= √3, which is the region x=2, and y = 0.

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Q: x² 1) Let f(x) (Figure 24). Verify the X 1 following: (a) f(0) is a local max and f(2) a local min.…

A: Since you have posted a question having multiple subpart part as per guidelines we can solve only…

Q: Solve each of the following equations, showing all work. a = log₂z (4x²) -4 = log t

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Q: Solve • ƒ²₂(x + 1)(x + 2)²(x² - 1)dx with and without the even-odd theorems (show both solutions).

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Q: Find the orthogonal trajectories of the given family of curves. 1. y = c (sec x + tan x )

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Q: Solve f(x + 1)(x + 2)²(x² - 1)dx with and without the even-odd theorems (show both solutions).

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Q: An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to -1. Calculate the…

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Q: given below. t lim f(x) = -8, lim g(x) = 5, and lim h(x) = 4 X-C X-C X-C 17. Find lim[f(x) = g(x)]…

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Q: Evaluate the double integral that will find the volume of a solid bounded by z = 4 − x^2 − 4y^2 and…

A: Let's find volume of solid.

Q: b. b. y = 2 1+e-x at (0,1)

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Q: [xv x√2x + 1 dx

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Q: 0 w W₂³ 6w⁺+ 3 4 dw

A: Given

Q: Let The coefficient of x³ in the Maclaurin series for f(z) is: Answer: . You may explain your answer…

A: The given function is f(x)=9e2x-x A Maclaurin series is given by:-

Q: 2r find the moment with respect to the wavic of the area hounded by the parabola v - Av-172 and v

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Q: Solve the following trigonometric equation for 0 ≤ 0 < 2π. Show your work. 4 cos²x 3 =

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Q: The volume of a cube is increasing at the rate of 4cm³/min. How fast is the surface area increasing…

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Q: 436. The plane that passes through point (4, 7, -1) and has normal vector n= (3, 4, 2)

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Q: Find the moment of inertia: x = y +1; y = 1; y = 2; x = 0 about x-axis.

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Q: B. m(x) = D. h(x) = x+2 x²-4 28. What is the removable discontinuity of x²-4 the function f(x) : = ?…

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