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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: Write the following sum as a single logarithm. Assume all variables are positive. log,(5) + log,(@) ...

A: Here, the given equation is: log4(5)+log4(a) Note that: logpx+logpy=logp(xy)...(1)

Q: Suppose that the differentiable function y = f(x) has an inverse, that the graph off passes through ...

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Q: Given that the position of particle is defined in terms of time by the equation below, where x is in...

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Q: Find an equation of the normal line to the curve at the given point. Express the answer in slope-int...

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Q: A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform thickness. If the ...

A: Given problem:- A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform th...

Q: Homework: Graph the following functions and show domains and ranges of them. 1+cos2r 1. 3. y = cot3x...

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Q: a?, x = 4, and y = 0 16 Find the volume of the solid obtained by rotating the region bounded by y = ...

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Q: Solve the differential equation. 2y dx = 3xy? dx + x dy When x = 2, y = -2 %3D

A: The standard form of Bernoulli's equation is: dydx+Py=Qyn Where; P & Q is the function of x.   G...

Q: Sketch the region enclosed by the curves and find its area. y = e", y= e3*, x = ln 2, x = lIn 3 In 2...

A: This question is based on application of integration.

Q: All edges of a cube are expanding at a rate of 6 centimeters per minute. Draw an accurate  picture t...

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Q: Evaluate the integral . Identify the u and the du. (5x2  +  1 )2  (10x) dx

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Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C, A and B are constant, C is a parameter

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Q: 4-ху Find lim if it exists, or show that the limit does not exist. (x,y)→(2,1) x²+3y2

A: Given :lim(x,y)→(2,1) 4-xyx2+3y2

Q: Find the interval of convergence of E(-1" - n°(x + 6)" (Use symbolic notation and fractions where ne...

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Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given ...

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Q: . Separation of Variables: x(y +1dx + dy = 0

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Q: Use the difference an+1 – an to show that the sequence {n – 7"}n=1 | is strictly increasing or stric...

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Q: dy for the following parametric equation: dx Calculate

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: Let's find. 

Q: Shown above is a slope field for which of the following differential equations? A + y? (B = x – dr y...

A: Here, dydx=y2⇒dyy2=dx⇒∫y-2dy=∫dx+C⇒y-1-1=x+C⇒-1y=x+C⇒y=-1x+C The graph is as shown for c=0.  

Q: I.TRUE or FALSE: Read carefully the statements below. Choose A if the statement is ALWAYS TRUE, othe...

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Q: (c) h(r)- (r- 2r)(r+) (d) j(r)= COS T 1- sinr *cos2tan r (e) f(r) Page 2

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Q: Exact Diffe rential Equation: x(3xy - 4y' +6) kx + (x³ – 6x²y² -1\dy=0

A: Check firstly it is Exact or Not.

Q: Homogeneous Diffe rential Equation: (x* +2.xry – 4y° kdx– (x² – 8xy – 4y² ldy = 0 Use the substituti...

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Q: 1 3 4 -2 3. 2. 3. 3.

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A: The given integral,                ∫-∞182x-32dx

Q: 11.What is the slope of the tangent line to the curve y = 3x? – 5 at poin - O A. -7 О в. -5 O C. -6 ...

A: Differential equation 

Q: The velocity of an object was measured using a laser radar gun. The following data were collected. t...

A: The area under the curve for function below the x-axis is negative while the area under the curve ab...

Q: 27. y y- 1. (2. 1) (hyperbola)

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Q: Find the Taylor series for 1 f(x) = 1+ 2x with at centre x = 2 up to the (x –- 2)3 term. Select one:...

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Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: To find :The differential equation of the family of plane curves described.Draw at least three membe...

Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is 6. The equation of the f...

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Q: Parabolas with axis parallel to the x-axis. Ans. y'y"-3(y")=0

A: To find:- Differential Equation of parabolas with axis parallel to x axis

Q: David opens a bank account with an initial balance of 500 dollars. Let b(t) be the balance in the ac...

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Q: By using first fundamental theorem of calculus. Solve the problem 1.) Suppose f(x, y) = S*3 If fx (0...

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Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.03 cm/ min....

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Q: Solve the given differential equation (3x+y- 2) da + (x +y + 4) dy = 0 O 3(x – 3)2 + 4 (2 - 3) (y + ...

A: Given differential equation, (3x+y-2)dx+(x+y+4)dy=0 So, dydx=(2-3x-y)(x+y+4)....(A)

Q: D. 12.0 An electric charge produces a total electric field of 6 Coulombs. Calculate the electric flu...

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Q: 8. The differential equation (2x-xy-2y+3}dx-(x*y+2xkty = 0 is exact because ÔM ON

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Q: 9.lf y = sin (4x – 5), then what is y'? O A. y' = - cos (4x – 5) O B. y' = - cos (4x) O c. y' = cos ...

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Q: SOWE FOR THE ORTHO GON AL TRAJECTORIES y² = 4x² (1-ex)

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Q: 3) Given f(x) = 3x • 5x and g(x) = 7x², is the following true? Explain your answer. %3D %3D d[f(x)

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Q: D^(3+1) (D-2)^(7+1) y = 48e^2x

A: Put D=m then solve it. 

Q: Given the matrix below, find ATB. -1 21 A =5 0 and B = [3 -2 1] 7 Lo 4 2] 3 Choose your answer here....

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Q: The function S(x.y)= (2x* + y^ )exp[ y + xy' is homogenous in x and y of degree 2x

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Q: Solve the differential equation. (x + y) dx + (2xy + x In 3x) dy = 0 %3D 1 when x =, y = 2 3

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

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Q: Evaluate ∫ e^−x2dx as an infinite series.

A: This question is based on indefinite integral.

Q: Find the general solution. dy - 2y +4x3 dx

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