Simplify. 2 X+1 2 x + 1 1 + X 3 + X

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

A: A detailed solution is given below.

Q: (a) How long will it take an investment to double in value if the interest rate is 4% compounded…

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Q: 14. Find a y=r³ parametrization for the path that travels along the graph of z from (-1,0) to (1,0).

A: To find the parametrization of the path that travels along the graph of y=x3-x from (-1,0) to (1,0).

Q: 1. 7. What is mos(+h)- cos(2), ? h (A)-1 (B) - √2 2 (C) 0 (D) 1 (E) The limit does not exist. 2 If…

A: 1 limh→0 (cos(π/2 +h) -cos(π/2))/h limh→0 sinh/h - 0 this is formula so answer  = 1 answer D is…

Q: Determine the solution of the 1st Ordered Differential Equation: y(x² + y²)dx + x(3x² - 5y²)dy = 0

A: y(x2+y2)dx+x(3x2-5y2)dy=0x(3x2-5y2)dy=-y(x2+y2)dxdydx=-y(x2+y2)x(3x2-5y2) Substituting  y=vxy'=v'x+v…

Q: Solve (D³ − 2D² + 2D) y = 0; when x = 0, y = 0, y = 1 and y/l =

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Q: For the polynomial, one zero is given. Find all others. 4) P(x) = x3 - 7x2 + 15x - 25; 5

A: NOTE: Refresh your page if you can't see any equations. . the given root is x=5 so take the…

Q: Qs Find the limits below ( a) lim(x,y)-(0,0) x2+y² 4xy²

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Q: If y = (5 + x5 +¹³, then y' is A. (5 + x² +¹³ (5x¹¹2) +3 B. (5 + x² + ²)² (5x+) c{(5+x+) (5x + a) D.…

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the regior…

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Q: Let f(x) = 7 cos x + 5 tan x f’(x)= f’(4 π/3)= (4 π/3) needs to be in decimal form as a result Plz…

A: Given :f(x)=7 cos x + 5 tan x

Q: 51-52 Find an equation of the tangent line to the curve at the given point. 51. y = e* cos x + sin…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: V. SA/9623/2-4,1¹/2 dx

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Q: Which derivative rule(s) were used to develop: "So rate of change of average cost is given by A'(x)…

A: Let's solve.

Q: 2. Evaluate the integral. 7 5 dx (x − 6)2 PLEASE SHOW STEP BY STEP .

A: Given, ∫57x-62dx

Q: Differentiate y=11x³ +4

A: Given, y=11x3+4

Q: A. Find the second derivative of y=- (x+1)³ B. 4x x+1 (x+1)³ C. 8 (x+1)² D. (x+1)²

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Solve g) iv. using the lebiniz rule, differentiate the following functions with respect

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Q: Show that the points A(8,-1,0), B(0, 1, 1), and C(2, 1, -3) are non-collinear.

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Q: 3

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Q: 6. 7. 8. dy x- -= x² + y y = x² + 4x; dx In y = C₁e* + c₂e-x; yy" - (y')² = y² In y y−³ = x³ (3ex +…

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Q: integral

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Q: Differentiate. y = log 4 (x+x) -log 4 (x6 + x) dx =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(4, 2, 4),…

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Q: 56x²5x-50 15x²-44x-20 20x²7x-6 2x² + 9x + 10

A: We know that the root of quadratic equation ax^2 + bx + c = 0 is x = ( -b + √ (b^2 - 4ac)) / (2a)…

Q: Solve 3xy + y + x²y² = 0

A: To solve 3xy'+y+x2y4=0 we can write its as 3xy'+y=-x2y4 or y'y4+y3xy4=-x23x which becomes…

Q: Find y' if y= 48x³+34x2-8x+15 (4x-1)² 48x³+34x²-8x+33 (4x-1)² If y = 3u² - 2u + 4 and u = x² + 3x -…

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Q: Find the difference quotient f(a+h)-f(x) h for the function given below. f(1) = -9z+8 Give a…

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Q: Solve the following differential equation: 4y'' +12y' + 9 = 0

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Q: A. dne 3x5-4x²+1 X-00-7x³+x2+2 B. 0 Evaluate lim A. R The domain of y log(1-2x) is B. (-00, C., +00)…

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Q: If P(x) = 5x – 7, Q(x) = 3x² + 5x + 6, and R(x) = 7x² + 6, find the following: (a) R(x) + Q(x) = (b)…

A: I have solved step by step in detail...go through the solution

Q: Find dy. y=34+ 10x²5x5 dy = (Simplify your answer.)

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Q: Find the particular solution of the following equation by first finding its general solution: y''…

A: Given, y'' - 4y = 10

Q: When a Rational Function has been simplified and graphed, it shows: 3 Vertical Asymptotes, 2 Points…

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Q: Show that xzxx + yZxy = y²Zyy if z = xy + yln(xy)

A: Given, z=xy+y ln(xy)

Q: 4) Given that lim f(x)=3, what is the value of lim (2 f(x)-5) ? x-4 x-4 A) 3 B) It doesn't exist C)…

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Q: -2 1 1 -1 -3 1 -2 are operations R2 = -2R1 + R2 and R3 = 3R1 + R3 used to convert the 2 and 3 in the…

A: We can find two row operations.

Q: y = (0,1) mox: (1,12) 2.Write the equation of the given graph. U wwtaai-y 3. A pen consists of 4…

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Q: Let u, ER" prove that |uv|≤|||||||||

A: This question can be solved using the following conceptsa. Dot product of two vectorsb. Modulus of a…

Q: Let f(x)=2x+1, find f(a), f(h +a), the net change, and the average rate of change. I found…

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Q: Find z, if z Z = хуеу, х = rcos(t), y :rsin(t), when r = = 2 and t TU

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Q: 10. xy dx (x + 2) dy = 0.

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Q: The range of y = tan-¹ x is A. R Evaluate lim h-0 A. undefined B. [-1,1] (x-h)³-x³ h B. 3x² C. x +…

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Q: I. Find the general solution of each of the following. 1. xy²dx - edy 2. tanxdx+ycos’ xdy−0 3. ytan²…

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Q: If x= find dx y+2 2y/2y 4. B. B. Find y' if y = (2x2-3)(3x+2) 4x-1 48x³-2x²-8x+15 (4x-1)²…

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Q: Q2. Find the area of the triangle (by using vectors) whose vertices are A (0,0,0), B(1,1,1), and…

A: To find the area of the triangle with given vertices.

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

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Q: Use an appropriate table of values to find lim h->0 b^h-1/h where b = 48, accurate to four…

A: The given limit limh→0bh-1h We need to find the limit for b=48

Q: 6x + y²)dx + y(2x - 3y)dy = 0

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Q: Sketch the graph that possesses the characteristics listed. fis concave down at (1,4), concave up at…

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