=1 Find hat such that fal= (h ol F(x) = √x +13 -4 g(x) = 8x + Suppose that g(x) h(x) =

Q: Given U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15), A = {1, 4, 7, 10, 13), B = {1, 2, 3,…

A: topic - sets  we are given  U ={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15} A={1,4,7,10,13}…

Q: Radium has a half-life of about 1600 years. Suppose that a given sample of pitchblende contains 10-5…

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Q: Consider f(x) = 5x-3 - 41/x^2 c) Find the equation of the tangent line at x = 2 to the graph of y =…

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Q: Let the position vector be R(t)=⟨3t,4cos(3t),4sin(3t)⟩. Compute the principal unit normal vector…

A: Given data:- The given position vector is, Rt=3t, 4cos3t, 4sin3t

Q: 1. Three vectors in space are given as K = 3x + 2y + 42 L = 2x - 3y + 2 M = -x - 4y in cartesian…

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Q: Evaluate the integral Note: Use an upper-case "C" for the constant of integration 1. -2 x² +16 dr

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Q: Determine whether the improper integral converges and, if so, evaluate it.   ∞ 0 5x dx (3 + x2)2

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Q: Laplace transform ((d^2/dt^2)(y(t))) + 4y(t) = 6y(t). What is y(t) if y(0)=6 and y’(0)=0

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Q: Find the equation of the plane passing through the points O=(0,0,0), A=(−4,5,1)and B=(−1,0,−6)

A: plane passing through the points O=(0,0,0), A=(−4,5,1)and B=(−1,0,−6)   that is plane passing…

Q: 9. Find the area bounded by y = x², y = -x, from x = 0 and x = 2. A. 2/3 square units B. 8/3 square…

A: As per our guidelines we are allowed to solve only one complete question. kindly repost others.…

Q: . If x = t + cost, y = sint, find d²y dx²

A: we will find the required.

Q: 2. Evaluate the following integrals a) f √1+2-√1-dx (Hint: Maybe you need to rationalize the…

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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: C) f(x)=- --x-21-

A: Need to write down that how we can graph the given function and also need to find out the domain and…

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

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Q: (D4 + 2D³ - 3D² - 4D + 4)y=0

A: (D⁴+2D³-3D²-4D+4)y=0 So, D⁴+2D³-3D²-4D+4=0

Q: 4 f(x)=x+acos x, where a is a positive constant and 0≤x≤ 2. Find the x-coordinates of all points,…

A: The function is given by fx = x+acos(x), a>0 and0≤x≤2π The equation of the line is y = x+a To…

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: Evaluate the area below X-axis and above the curve y = 24x2-45x. Round your answer to 3 decimal…

A: Given curve, y=24x2-45x

Q: Determine whether the given DE is exact or not. Do not solve the differential equation. 1. (3x²…

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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: 9) A rectangle has one corner on the graph of the line y = -x² + 6, another at the origin, a third…

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

Q: If f(x)=x²+2x-4, find f(x+1) and f(√2)

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Q: dw dt = x²y = xy³, x = cos(t), y = et Find: @t= 0, when w =

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Q: 3

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Q: 7x4-12x²+5=0 71x1² 110

A: 7x4-12x2+5=0 by hit and trial method clearly x=1, -1 is the root of the above polynomial equation.…

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: 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: Find z¸and zyif z = x² tan¯¹ (²) — y² tan¯ an-¹) y

A: We need to find zx and zy.

Q: 1. Evaluate the following integrals ·16 /1+√√x √T dx x+√√xn-m a) 16 b) f dx where m and n are…

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Q: Using the attatched equation 3.9, find the general solution of the following differential equation…

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Q: III. Eliminate the arbitrary constants of y = c₁ cos3x + c₂sin3x.

A: Given function, y=C1cos(3x)+C2sin(3x)

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: 7315 Q₁. Find the angle between every two vectors below (Answer two only): a) d=i+2j-k and e--i+j-2k…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: If a ball is thrown into the air with a velocity of 42 ft/s, its height (in feet) after t seconds is…

A: We have to find the velocity when t = 1 second.

Q: If f'(x) = e^x - 5x and f(1) = -12, then what does f(x) equal?

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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: Find zxand zyif z = x² tan¯¹ (²) — y² tan¯

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Q: Find the slope of the tangent to the curve y = 3 + 4x2 - 2x3 at the point where x=a .

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Q: If f(x)  = 3x2 -x3, find f'(1) and use it to find an equation of the tangent line to the curve  y=…

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Q: Use differential approximations in the following problem. A company will sell N units of a product…

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Q: Find the equation for the line passing through P=(1,3,−2) and perpendicular to the plane 2x+4y+z=2

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Q: 2x Find the second derivative of y = e²x sin(3x)

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Q: Question 1: Let f be a function and let h be a non-zero real number. Then the derivative (when it…

A: We have to tell true or false Answer (1)

Q: sketch the graph of f. Then identify the lim f(x) exists. x-c (x²₂ x ≤ 2 35. f(x) = 8 - 2x, 2 4

A: Concept: A function may get close to two distinct limits. There are two scenarios: one in which the…

Q: 2x 2). 9 = (₁ x ² + ( ₂² ²³

A: we need to eliminate the arbitrary constants.

Q: QUESTION 1 Determine the solution of the 1st Ordered Differential Equation: xy³ dx + ye dy = e-*dy

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Q: Eliminate the arbitrary constant for y=5+Ae^-x

A: Given function, y=5+Ae-x That is (y-5)=Ae-x                                  (1)

Q: Solve by completing 2x2 +9x = 1 =0 - the square,

A: The given equation is 2x2+9x-1=0 We have to find the solution of the equation

Q: Estimate f′(1)f′(1) where f(x)=x^3+1x^2−19x+4 to within one decimal place by using a small enough…

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