Evaluate sin (Inx) dx Integration by parts will be used repeatedly. What is the expression after the second integration by parts?

Q: Evaluate 3 TIT 4xyzdxydydz O 15 O 15/2 10 о None of the choices

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Q: Differentiate the function: y = e-x cos²x x²+x+1

A: To differentiate the function.

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A: Concept: The equation of the line segment parallel to the given axis and passing through the point…

Q: Question 2 Determine the general solution. x (dy/dx) = 2 - 4x^3. O y=lnx-(1/3) x^2 + c Oy=2…

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Q: Integrate f(x, y, z)= -√√x²+² over the circle r(t)=(acost)j + (asint)k, 0≤t≤2.

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Q: ·S- sece tane de sece - 1 The integral S S x dx x²+√√√x²-1-1 sino de 1+ cos cose de 1-sino sec²0 de…

A: The objective is to find the correct option.

Q: dx 3-2x-x² L

A: According to our guidelines we can answer only one question. Other questions can be reposted.

Q: Calculate the average rate of change for the function f(x) = − x² + 3x + 4 intencal-1<x<3

A: We can find the average rate of change as below

Q: Find the general solution to the differential equation dy/dx=x^2/y+3.

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Q: 7. Show that the equation of the plane that has x-intercept a, y-intercept b, and z-intercept c…

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Q: Suppose that f(x) = 24-223+2-3. Starting with 1 = 2 and using Newton's method, what is the second…

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Q: 3x5 3x4+6x³3x² - 6x B с + + x + 1 x+m Consider S А Sx √x-m+A x-m+ 14/3 17/6 6 5 -dx. Using the…

A: solution

Q: Given that f xdx = 1/2 and f²dx = compute the integral [*(1-x)²dx.

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Q: Find the area of the region in the first quadrant bounded by the curve y = √x² +5, the x-axis and…

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Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B =

A: We have to find vectors A and B such that A is parallel to 2, 1,-1, B is perpendicular to 2, 1,-1…

Q: Given the following planes: 1. 2x - y - 6z = 5 II. (x-1, y - 1, z - 6) * (3, 1, 1) = 0 III. (0, 8,…

A: Topic: Plane in three dimension geometry The solution is given below:

Q: 3. Evaluate the following integral by using the polar coordinates. £²₁, [x²=²²* (x² + y²)³¹ dy dx.

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Q: 3 N -3 -2 -1 1 2 3 1 . For the above function f(x) = 2 1.2, estimate f'(x) using h = 0.001 for the…

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Q: Evaluate 3x5 3x4+6x³3x² - 6x S₁ x²-2x-In x² - 4x 2 x²–2x 2 x² - 4x (x-1) 1/6(x+2) 16/3 (x+1) 1/2…

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Q: 2. Determine parametric equations of the line that.... 4 a) passes through (-9,8) with slope - 5 b)…

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Q: y" (ex®-3x2+5)4 (Type an expression using x as the variable.) 증

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Q: QUESTION 15 Evaluate sin(Inx) dx Integration by parts will be used repeatedly. What is the…

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x→1 x+3 a. Find lim f(x) or…

A: Here is the solution of the given problem. To, solve this problem we use the simple criteria of…

Q: S ' | Sc Sex²0 The integral dx (x²+4)² see c³0 de s²0 de csc ³0 de sin ²0 de can be transformed to…

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Q: 22. Suppose that lim f(x) = x, what is the value of lim 5. (f(x))² ? x-3 A. 41 C. 45 B. 43 D. 47 23.…

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

A: Given,  f(x)=10x+17 f'(x)=10

Q: Explain the concept of marginal cost. How does it relate to cost? How is it found? How does the…

A: The marginal cost measures the change in the cost that arises from unit increase in quantity. The…

Q: e /// 2 Evaluate 2xz dV where E {(x, y, z) |1 ≤ x ≤ 4, r ≤ y ≤ 2r, 0 <z<x+3y}

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Q: 2. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

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Q: Write as a single function of a single angle. tan 55° - tan 17⁰ 1+tan 55° -tan 17° = [? ] ([_]°)

A: Use the formula of tan(A-B)

Q: ·S= cost cose de . 1-sino sece tane de sec-1 The integral sine de 1+ cose sec²0 de 1+tano x dx can…

A: Let's transform integral by using trigonometric substitution.

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: measured each day for several days. Suppose To test an individual's use of a certain mineral, a…

A: The amount of the mineral remaining in the bloodstream t days after the initialinjection is…

Q: -1 valuate the following expression without using calculator : tan sin (³²) +cos 35 - 12

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Q: ·S- x² + sece tane de sece - 1 e integral sec²0 de 1+tan cose de 1-sin sine de S x dx can be…

A: We have to find the integral

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

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Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: We have to use simple logic to solve the problem

Q: Find y dy S using the substitution +5=√√y+2 √y+2 (√3+2-5) (5√y+2+y+21) +C 3 (√x+2-5) (5√3+2-y+24) +…

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

Q: a. Find the first derivative. f'(x) = b. List any critical values. c. Identify intervals of…

A: As per the guidelines we can solve 3 parts only

Q: 5. Evaluate the following triple integral. ſſſ (.x² + y² ) dx dy dz D D={(x,y):x² + y² ≤9.15:53)

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Q: Use Euler's method to solve the following ODES wwwwwwww dy dx = -2y + 4e¯*, with h = 0.18 from x = 0…

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Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)² sin…

A: We have to find the integral

Q: Explain and sketch how a function can have f ''(a) = 0 at (a, f(a)) and not be an inflection point.

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Q: I co cos³ x sin x dx

A: Given problem:- ∫cos3(x) sin(x) dx

Q: If f is continuous on [0, 1], prove that f₁¹ f(x) dx = f₁¹ ƒ(1 − x)dx.

A: This question can be solved using properties of definite integrals.

Q: (B) 1 1 −tan (m+3)(x) + _—__——_—_tan (m + 1)(x) + C · m+3 m+1

A: Let us use trigonometric substitution. After solving we get correct answer is option-(B) as shown in…

Q: Find a set of parametric equations for the curve of intersection of the paraboloid x² + 4y² -z = 0…

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Q: Let C be the parametric curve defined by Ja(t)=1²-t-6, [y(t) = 41³ + 3t² - 6t. Determine the point/s…

A: a) Given that: xt=t2-t-6yt=4t3+3t2-6t For a horizontal tangent line, the slope must be 0. That…

Q: Evaluate [sin (Inx) dx Integration by parts will be used repeatedly. What is the expression after…

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Q: dx The integral can be transformed to which of the following when trigonometric substitution is…

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