What is S(4x³ + cos x) dx? O x^4 + sinx+C O 12x^2-sinx+C x^4-sin x + C hen the teacher says it's tim math none of the choices

Q: Evaluate: 1. lim [√x² + x − √x² + 4] x →+∞0

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Q: Evaluate the iterated integrals. 2 yz b. So So So xyz dx dy dz Jo 0 0

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Q: Using Simpson's method [x³dx for n = 6 is equal to Blank 1 (use 2 decimal places with proper…

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Q: The area of a circle of radius a can be found by the following integral a. f (a²-x²) dx √a²-x²dx O…

A: Given

Q: Consider the spherical equation given by p sponding equation in Cartesian coordinates. 4 cos sin o.…

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Q: Which ONE of the following statements is FALSE? OA. If the function f (x,y) is maximum at the point…

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Q: -2 What is the value of the definite integral e* dx? -4

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Q: 1 n³(x-3)" The value of x for which the series - A2<x<3 or 3<x<4. B.2<x<3 or 3<x≤ 4. C.2<x<4. D.…

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Q: Iff and g are continuous on [a,b)], then [*[f(x)\g(x)]dx = [[*f(x)dx)(√*g(x)dx) a A True B) False

A: If f and g are continuous on a,b, then ∫abfxgxdx=∫abf(x)dx∫abg(x)dx

Q: fx,> 8 and x n+1 2 for n EN. Then the limit of x is equal to X 21 ......

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Q: The numerical value of the lim n+3 nln (2) "→ ∞ \ 11 + 1 is equal to

A: We need to evaluate the value of the following limit limn→∞n+3n+1nln2 Formula Used: limx→∞1+axx = ea

Q: consider using rational

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Q: Find of, af , for f(x, y) = log₂ (3г² - +y)

A: Solution of given question is written in below steps.

Q: Use the shell method to find the volume of the solids generated by revolving the shaded region about…

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Q: Determine the intervals on which the function is concave up or down and find the value at which the…

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Q: You are saying the scale factor the donut needs to be dilated is 25/1 And The glaze needs will be…

A: Given ,  A donut shop makes donuts that serve 1 person each. For a party the baker is asked to make…

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

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Q: f ƒ (a,b, c) = cos (ab) + sin (b) + c where ƒ ((2, 73,7)) Evaluate af да (1,3,7) O Option 3 T√3 12 ل…

A: Topic:- application of partial derivatives

Q: 8. A box is to be made with an open top from a sheet of cardboard by cutting four equal squares out…

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Q: find 04 O B O 7 O -12 af ду dy' given f (x, y) = e + 2xy² – 4y at (0, 3) -

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Q: The deer population of a national park has a natural growth rate of 4% per year. Each year the…

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Q: Given that dy/dx = (x^2) and y=3 when x = -1, find the function f(x) in terms of x y-x+c--1 C

A: dydx=x23=x23

Q: Evaluate the integral: √ S - (9x²+7x) (x−1)(x+1)² dx = ← +C

A: Given; I=∫-9x2+7xx-1x+12dx   As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: 5. Evaluate the following integral using spherical coordinates: 2-x²-y² ста z dz dy dx. x² + y²

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Q: Find all solutions to the given equation. In the choices, k runs through all integers. √3csc(x)+2=0…

A: We can find the answer as below.

Q: The graph of y=sin(x) is reflected first in the line x = π and then in the line y=2. The resulting…

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Q: Set up the integral representing the area of the region between the curves x = -1, x = 4, y = 2x -…

A: Consider the figure

Q: 12 The value of the definite integral fm1² √ex – 9 dx is in the form F (b) – F (a), where a 19 and b…

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Q: 1³ csc x - sinx 5 sin x -dx

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Q: √x²-1 The resulting value of the definite integral x where c and d are whole numbers. What is the…

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Q: 2. S 2 tan x secx - tan x d.r

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Q: Suppose csc(x)= = √43 A 5 34 B 5 43 - 5 -√34 5 √34 and cos(x) <0. What is the value of sec(x)?

A: This question is related to trigonometric ratios, we will solve it using given information.

Q: Find dy dx : y = arctan 2+1 x-1 at x = 1

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Q: 7. Evaluate * (D5 - 3D4 + 8D³ + 16D² - 9D - 13)y = 0 y = (C₁ + C₂x)e¯x + С3ex +C4e²x cos3x + C5e²x…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Given the function f(x, y, z) = x ln(1 − z) + following and simplify your answers. a) | fx b) u fxz…

A: We can answer both the answer as below

Q: Consider the following sequences n In (1+n) (ž) e^/(n²+1), (iii) n²+2n - 11. Which of the above…

A: We have to check which sequence is monotonic increasing.

Q: √√2₁ y = ¹, y-axis, y=1&y=3; OY

A: Volume of solid obtained by revolving region around y axis is evaluated.

Q: fx ln x dx.

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Q: What are the amplitude and period of function? y = 1/cos x

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Q: 4+e²z-ez ez -dz

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Q: Find all points on the curve y = x³ + 2x² - 6x +5 where the tangent is parallel to the line 2x + y =…

A: Given :y=x3+2x2-6x+5line : 2x+y=4

Q: The face of the gate of a dam is in the shape of an isosceles triangle 4-m wide at the top and 3-m…

A: I am attaching image so that you understand each and every step.

Q: * If z = f (x, y); then its total differential can be expressed as дz dydz date - ( 7 ), v + ( ;) -…

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Q: Find the volume of the solid obtained by rotating the region bounded by y = x + 1, y = 0), and X=2…

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Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: find out the derivative of the function.

Q: The power series representation of f(x) = ln(x2-1) is given by Α. 24-1-1x", -1x<1 n=1 n+1 B. None of…

A: To find the power series representation of the given function.

Q: Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

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Q: The face of a vertical dam has the shape of an isosceles triangle of altitude 4 m with an upper base…

A: I am attaching image so that you understand each and every step.

Q: -133x So 33x dx 0.6698 0.6670 0.6671 0.6699 O

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Q: Which ONE of the following statements is TRUE with regards to lim (x,y) → (0,0) sin (xy) x² + y²

A: The correct answer is option D.