Find the area bounded by the curve 2x2 + 4x + y – 0 and the line y + x = 0

Q: an-(2x)dx (Use 2 decimal digit) Let x = 0.37 and y = 1.03. Determine the value of C when you…

A: We will find c.

Q: S(-uP +2u7 + uP)du No appropriate Match Question 6 S(-u° -2u7 - P)du Match the integral expression…

A: Solving the problem by finding the proper substitution.

Q: Consider the following. u = (-9, -3, -7), v = (-4, -5, –1) (a) Find the projection of u onto v. (b)…

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Q: y = 4 + cze3x

A: We can eliminate the arbitrary constants in the following steps.

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x<In(x) given the…

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Q: 3. For f(x) = rV9-x, find a). domain, b). f', the intervals on which f is increasing or decreasing;…

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Q: f(x)=3x2-12x+5 and the closed interval [3,0] Which of the following is the absolute maximum and…

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Q: 19. Which of the following illustrative equations will give a slope 10 of the tangent line to its…

A: A)y=2x2-2x at (2,3)Differentiate…

Q: u = -6i – 2j – 4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find the vector component of…

A: We have to find projection

Q: Q5. Check whether the following statement is true or false. d²y + y? = 0 is non- linear equation.…

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Q: Given the following matrices, perform the indicated matrix operation. 1 7 8 [5 1 2 -2 -4 A = 3 -6 -9…

A: To perform the indicated operation for the given matrices.

Q: ind the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Given query is to find the component from of u+v

Q: Evaluate the integral: x' In x dx Choose the most appropriate answer. 8 (In æ) 2) + C 8 O (n æ) () -…

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Q: Find the component form of v given the magnitudes of u and u + v and the angle axis. ||u || = 1, 0 =…

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Q: (3a + 3m2) da – 6amdm = 0 %3D |- aC = a² – m? aC = a? – m2 %3D | Option 1 Option 2 C = a + m Option…

A: The differential equation Pda+Qdm=0 is said to be exact if ∂P∂m=∂Q∂a. The solution of the…

Q: a) Evaluate the following integrals: eta TT/2 sin5e do tan 0 + tam30

A: ∫0π/2sin5θtanθ+tan3θdθ=substitute…

Q: Let F(x) = f(x) + g(x)e* + h(x)e2x+C be the antiderivative of G(x) = (x+ e*)", Determine the value…

A: This can be solved as follows:

Q: 1 Value of 1 1+x 1 is: 1+y

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Q: Match the integral expression on the left to its suitable transformation on the right, after using…

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Q: find the 3rd degree maclaurin polynomial of f(x)= (x-2)/(x+3)

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Q: Evaluate the integral: 5x/8x² – 1 dx - 5 (8x2 – 1)- + C (8a? – 1)-+ C (822 – 1) + C -(8x2 – 1) + C 8…

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Q: g³dx Vx² – 16 -

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Q: The integral expression J xcos (2x)dx can be evaluated using integration by parts of the form…

A: This is a problem of integration. Based on the uv formula we will solve the question.

Q: Match the integral expression on the left to its suitable transformation on the right, after using…

A: We will use substitution for integration.

Q: (iv) Consider the arrangements in a line of all the letters of the word ISOLATION (a) Calculate how…

A: Here, the given word is ISOLATION which has 2 Is and 2 Os.

Q: Condene each exprossion to a sngle logaritim 5 layz 4+ 109ga 2+ layaw+logz* 3. 2. + log qfu + loy ab…

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Q: The integral expression J xcos-(2x)dx can be evaluated using integration by parts of the form…

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Q: a(sin 2a+cos a sin 2a) lim 1-cos² a a→0

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Q: Find the general solution of the differential equation y" +2y + 5y = 5 sin(2t). NOTE: Use c, and cg…

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Q: Find the Taylor series generated by f at x = a. f(x) =, 1 a = 6 (- 1)"(n+ 1)(x – 6)" Q A. 2

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Q: dx x Vx² +3 2

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Q: (2x – y)dx + (4x + y – 6)dy = 0 -

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Q: Let F(x) = f(x) + g(x)e*+ h(x)e2× + C be the antiderivative of G(x) = (x+ e*)“, Determine the value…

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Q: 4. j(x) = x² sec x %3D

A: We can solve question no 4 as below.

Q: 3. у'sec'xdx - (1- 2у'tanx)dy - 0

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Q: Evaluate: Jx?cos(2x)dx (A None of the above 2x sin(2x) – 2xcos(2x) + sin(2x) (B +C 4 2x?sin(2x) +…

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Q: 2:07 AM Tue Apr 5 AA www-awu.aleks.com ALEKS - Emil... Crunchyroll .. TAL. Polk K12 Session Can.. O…

A: We know surface area of a cylinder with a base  radius of r unit and height h unit= 2πrr+h unit2.

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 5t, y = 9 –…

A: Let's find.

Q: dy dæ3 +7 - 7y = 0 dx O 1st order, 1st degree O 1st order, 3rd degree O 3rd order, 1st degree None…

A: To determine the order and degree of the following differential equation.xd3ydx3+7dydx-7y=0

Q: 1-х 3 c) y = xx

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Q: 11.What value of x is the function f(x) = Vx2 - 3 continuous? Α. x =0 B. x = 1 C. x = -3 D. х 3D -2

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Q: Consider a differentiable function f(x) :[-, →R such that f' (x) = 32? – 3 and f(0) = 1. Which one…

A: We need to choose correct option.

Q: show

A: We will find the value of c.

Q: Find the derivative of: 6e 1* cos( – 7x). [Hint: use product rule and chain rule!] Use e^x for e".…

A: Given query is to find derivative and equation of the tangent.

Q: Find the angle 0 between the vectors in radians and in degrees. 0()i+ sin(); 3TT i + sin i, v = coS…

A: To find out the angle between vectors.

Q: Let f(x) = /20 – x. Compute f'(4) using the limit definition f'(4) - - Find an equation of the…

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Q: Evaluate: Ssin(/x)dx A 2x sin(/x)-2cos(Vx)+C B 2/x sin(x)+2cos(x)+C 2sin(x)+2/xcos(/x)+ C D…

A: Using substitution and integration by parts,

Q: If f(x, y) = 5y² – 7xy+ 14x, then is given by: - dy? O -4 O 17 O 10 O -10

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Q: ential equation of the family of curves y B are arbitrary constants

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Q: Find the equation of the tangent line to the curve y = 6 sec z – 12 cos z at the point 6). The…

A: y'=secx-12cosx' =secxtanx+12sinx Slope = secπ3tanπ3+12sinπ3=83. So, we have possible equation of…