A. Determine if p = ï - 3k and q = 61 - 3j - 4k are parallel, orthogonal or neither. 3. Find the general solution of the following 2nd order differential equation: y² +2y + 2y = 0

Q: ·S. Given : 1 value of -AB AB. 3 72 40 8x + 1 20 3 280 3 4x - 3 4x - 3 dx. If we let the…

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Q: a problem of physical  phenomena that can be solved as differential equation using Euler method.

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Q: A biochemist is testing the effect of a new antibiotic on a particular mould growing in a petri…

A: We need to find time and rate of area increase. As per Bartleby's guidelines we can only solve 3…

Q: Given: c= 8, a = 5, C = 67° a A B Solve the triangle. (Do not round until the final answer. Round…

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Q: egion in the first quadrant is bounded by the curve y=1+ sin²x, the coordinate axes and the line x==…

A: Topic:- application of integration

Q: In the process of calculating that: cos³ (112) de a substitution is made in the variable u, then it…

A: Given query is to find the integral after substitution.

Q: 6) INVERSELY LOGARITHMIC The following information is given about a logarithmic function of the form…

A: The objective is to find the rule of the inverse of the function.

Q: 1. Given function f, defined by the rule f (x) = a (c) bx + k Function fis represented in the…

A: Given that, the function f is defined by the rule     f(x)=acbx+k From the given graph , we can see…

Q: a) x² x² + y² - 2² +22=1 ɔ) x² − y² + 2y + z² = 2 =) x² 4x − y² — z² = −3 d) x² - 4x − y² — z² = −4…

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Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

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Q: 8. Write the integral that gives the area of the surface generated when the curve y = sinx on the…

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Q: Find the area of the surface generated by revolving the arc 9y = x³ the x-axis. O 9/35 O 147/5…

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Q: 12) Consider the following exponential function f, Given that f(x) = -616, what is the value of x?…

A: exponential function

Q: 3 2. x1 + x² dx

A: Definate integration

Q: The region in the first quadrant bounded by the graph of y=8-x32, the x-axis, and the y-axis is…

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Q: What integration technique can be used to integrate: A Integration Formulas B) Integration By Parts…

A: Given: sec2xdx

Q: The graph C of the equation y = gives the course taken by an oil tanker after leaving port, which is…

A: Here we have to find the arc length.

Q: Write the equation of a circle with a center at (2, -3) and a radius of 4. ( x - 2) 2 + ( y + 3) 2…

A: To write the equation of a circle with a center at (2, -3) and a radius of 4.

Q: Question 4 A conical water tank has its top at ground level (consider this to be the x-axis) and its…

A: The given problem is solved below in detail.

Q: Solve the D.E XỲ+Y=- 1 y2

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Q: B. Graph each equation. 3. 3x²2y² - 12x + 12y = 12 4. x² + 2y² + 2x - 8y = -5

A: Graph of : 3x2 - 2y2 - 12x + 12y = 12

Q: ·S. Given : dx. If we let the substitution =√√√4x-5, the resulting integral becomes 4x-3 (2u²+11) ^…

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Q: a particle moves a long a straight line with equation motion s=t^2-3t+2. find the value of t at…

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Q: 8. y = x ¹ Arctan 4(x4)

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Q: culate √2-4i. Give your answer in a + bi form. In polar form, use the angle 0 < 2TT.

A: Topic:- complex number algebra

Q: 4. y = = csc 1+2x) cot(1-2x)

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Q: 3. Use the given graphs to sketch the graph of f(x) + g(x). Explain your process. [A3] [C2] fox)…

A: We have to solve and draw the graph.

Q: 2. Given the following logarithmic expression: log, 1+ 2log 5 + log₂ 2 +log, c-log, 100 Which of the…

A: Given: logc1+2logc5+logc2+logcc-12logc100

Q: Sketch the graph of each quadratic function and identify the vertex, direction of the opening of the…

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: (D² + 3D + 2)y= sin ex

A: The given differential equation is  (D2+3D+2)y=sinex

Q: 19 A curve with polar equation r = 8 sin 0+17 cos 0 represents a line. This line has a Cartesian…

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Q: The ellipse 3 4 8 16 x²y² 1 = + 9 16 4 has a vertical axis of

A: elipse equation is given  x2/9 + y2/16 = 1/4 here compare with  x2/a2 + y2/b2 = 1

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

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Q: (b) 0.52, 0.34, 18.07 (c) 0.77, 1.08, 16.64 (d) 0.52, 0.34, 20.14

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Q: fz² dz along the indicated paths: -1+i -1 C 0 (a) 1 1 + i 17 0 (b) 1

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Q: To integrate x³ exdx'' X we apply integration by parts and in the form u dv, u is set as:

A: To integrate x3ex dx. We apply integration by parts amd in form of udv. u is set as

Q: the appropriate integral to be used to find the volume of the solid generated? 8 7 6 5 4 3 2 1 -1 O…

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Q: 5. Evaluate using the circular disk method. Find the volume of the solid formed by revolving the…

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Q: Problem 7 x√x + 1 dx

A: Given ∫07xx+13dx

Q: Determine whether the series Σ n=1 convergent, or divergent (−1)” 7n-5 is absolutely convergent,…

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Q: Determine the values of m and b such that function g is continuous at every real number: if r 1.

A: Since the function g is continuous.So, limx→1-g(x)=g(1)limx→1-x2-mx=-212-m(1)=-2m=1+2m=3

Q: Find the consumer's surplus for the following demand function at the given point. 4) D(x) = (x -…

A: Finding consumers surplus

Q: Identify the conic section whose equation in standard form is y 2 + 8y - 10y - 34 = 0. ellipse…

A: Topic = Geometry parabola

Q: Evaluate the integral. S (x² + 8)e-x dx

A: We need to evaluate integral.

Q: dy : Find the for the following functions: dx 1- y = e(x+ln 5x) 2- y = cosh-¹ sin 2x 3- y = xsinh x

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Q: Find a + b + c. The Maclaurin Series for f(x) = ln |3 + 4x is: f(x) = lnb + 26 + Σ'()"

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Q: Q4: If f(x,y) = x²y + exy Siny Find 1) 2) (D = f), at po(1,0) in the direction of 0 = Po

A: Given problem:-

Q: Given cost and price (demand) functions C(q) = 100q+42,600 and p(q) = -1.8q + 860, what is the…

A: Cost function C(q) = 100q + 42,600 Demand functions p(q) = -1.8q + 860  Marginal revenue is the…

Q: the complex number z = 18 + 18j in trigonometric form Group of answer choices   19.7(cos23.96°+ ?…

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