Use the given graph of f to find a number & such that if 0 < x - 3| < & then. If(x) - 2| < 0.5. y 8 = 2.5 2 1.5 2.6 3 3.8 f

Q: Find the position vector R(t) and velocity V(t) given the acceleration A(t) = 25esti + 5 cos(t)j +…

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Q: Use the definition of derivative to find f'(x) and f"(x) f(x) = 4x² + 3x + 2 f'(x) =

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Q: 3. Check for homogeneity and obtain the general solution. (Let y=vx and 2C=C) dy x-y dx x+y

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Q: Find an equation for the line tangent to the curve y = (√x + 8)(x4 + 3) at x = 1. y =

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Q: 2. Let L be the line passing through points (-2,-5) and (3,4). Find the general equation of the line…

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Q: Find

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Q: e the integral: [₂³ 1 A r² dr

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Q: 12. Ln. n=1 3 5

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Q: a. Find the cost of removing each percent of pollutants: 50%; 70%; 80%; 90%; 95%; 98%; 99%. 50% y =…

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Q: 9 sine 2770 d²0 47⁰ [(@sos 1-1) but ] + [ ₁₂ (AP) m ² ] 7

A: Given; [M(L d(theta)/dt )2] + [Mg(L-L Cos(theta))].

Q: Textbook) The diagrams below are not necessarily drawn to scale. For each pair of triangles:…

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Q: (x + 2y — 2) dx + (2x + y + 5) dy = ○ (x + 4)² − 2 (x + 4) (y − 3) + 4(y − 3)² = C O (x+4)² + 2(x +…

A: We have to find the solution of the given differential equation.

Q: Find the general solution of each of the following. J.. 1 1. in 2. y tan² x dx + In¹y dy = 0 000² v…

A: Please see the below picture for detailed solution.

Q: the value X, I when solving the system X+27=82X+59= 21 in the manner of cards True Error -2,-5

A: we need to solve the system of equation.

Q: Find the particular solution of each of the following. y(1+21n²) dx+xdy=0; y(e)-e

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Q: Determine the Laplace transform of the function f(t) = t^2.  ( t squared

A: We have to find the Laplace transform of t2.

Q: Given that f(x)= 2x2 -x + 2, which of the following is equivalent to f(x-h)? 2x2 -4xh +2h2…

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Q: 2 The point P is on the unit circle. If the y-coordinate of P is, and P is in quadrant II, then x=

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Q: Find the equation of the tangent line to the curve at the given point (4,57) y= x3-2x+1

A: Tangent line of a curve y=f(x) at a point (a,b) is given by, y-b=f'(a)(x-a) Where f'(a) is the slope…

Q: (a) Show that y = e(c₁ cosa + c₂ sin x) is a general solution of y" + 2y' + 2y = 0. (b) Deter- mine…

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Q: question 13. y' - 5y = 0, y(0) = 2

A: We have to find the solution of given differential equation.

Q: main of h(x)= 2 x - - - IS 2122²2 what does f(1) + f(-1) equal? = 2x, what does f(x+1)-f(x - 1)…

A: We have to find the following given condition according to the given information

Q: 50. y” – 4y = sinh 2x variation of parameters

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Q: " + 4y = cos 3x

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Q: Find the standard form of the equation of a parabola opening to the right such that the endpoints of…

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Q: a b= Note: Triangle may not be drawn to scale. Suppose a = 2 and A = 50 degrees. Find: C= B B = b…

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Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) =…

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Q: A mold grows at a rate that is proportional to the amount present. Initially there is 5 oz of this…

A: A mold grows at a rate that is proportional to the amount present. Initially there is 5 oz of this…

Q: 5. Compute: In 2√3 In 2 ex dx 4+ e²x

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Q: Find the General Solution G.S. 1. (2xy - 3x²) dx + (x² + 2y)dy = 0 2. 6x + y²) dx + (2xy − 3y²)dy =…

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Q: From the information given, find the quadrant in which the terminal point determined by tt lies.…

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Q: 3-7 Use the method of cylindrical shells to find the volume generated by rotating the region bounded…

A: 7) Given:         y=x2 , y=6x-2x2 Equating the curves:     x2=6x-2x2     x2+2x2=6x     3x2=6x…

Q: Eliminate the arbitrary constants. y = We-x + Ve³x

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Q: Given: f(x)= = 1 2¹ and g(x)=√x +3 2-x Find the domain of f(g(x))

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Q: Use the method of Lagrange multipliers to solve this exercise. Hercules Films is also deciding on…

A: The given demand equation is  q=198000-11000p The revenue function is Rp,q=q·p. As the cost per copy…

Q: Prove that lim x-√3 1 1 3 C For a function f(x) that is defined in an open interval about c, except…

A: Solution is here

Q: 2) Suppose that f(3) = 2.5, g (3) = 5, f' (5) = 2.7, f' (3) = 6.2, g (3) = -4, and g' (2.5) = 8. Let…

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Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit…

A: We have to find the value of derivative at $21 and interpret the answer.

Q: Check whether each differential equation has the indicated solution. Determine which solutions are…

A: Here is the ordinary differential equation. As it is a homogeneous equation first we let   V = emt…

Q: Find an equation of the plane. The plane through the point (7, 0, 3) and perpendicular to the line…

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Q: dI (a) dy = -2xy, (b) xy' + 3y = 0; y(1) = 2, (o) +27= 10; 7(0) = 0, dx

A: According to guideline I can answer maximum three subparts.

Q: Find the area of the sector of a circle with radius 17 miles formed by a central angle of 55°: what…

A: To find the area in square miles of the sector of a circle with radius 17 miles formed by a central…

Q: Integrate dx/x with limits from 1 to e. A. 1 B. 1/2 C. e D. e/2

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Q: 1. Eliminate the arbitrary constant. y² = 4C(x + C)

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Q: Find the following limits: 1 1 5+x 5 x a. lim: x-0 b. x²+1 lim x-1- |x-1| C. -2x lim x +∞ √9x²-3

A: See this solution in below.

Q: Let A = {7, 2, 6, 8, 3, 5} B = {4, 2, 8, 9} and U be the universal set of natural numbers less than…

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Q: Integrate cos x dx with limits from 0 to π/2. A. 1/2 B. 3/2 C. 1 D. 2

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Q: 1. In each of the following initial value problems, determine the maximal interval in which the…

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Q: solve DE using laplace transforms

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