expression 0.2x - 60 is equivalent to an expression in the form k (x + A). Write the expression in this form, and give the values of k and A. The

Q: Consider the points A(-4,2,0), B(7, 3, -2) and C(-2, -3, 1). 1. Find a vector of length √6 in the…

A: Solution is given below:

Q: Write the end behavior for the graph

A: NOTE: Refresh your page if you can't see any equations. . from the graph, we can write the end…

Q: Find f" (x) if f (x) = 3(2x¹ + 2x² + 1)¹. 48 (2x³ + x) (2x² + 2x² +1)³ 48 (6x² + 1) (2x² + 2x² + 1)²…

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Q: Find the total area bounded by the x-axis and the curve y = f(x) on the indicated interval. Enter…

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Q: Find the equation of the sphere centered at (-3, 1, -3) with radius 8. Normalize your equations so…

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Q: When the price of a particular commodity is p dollars per unit, consumers demand a hundred units of…

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Q: Kindly resolve this problem. Check if the answer above is correct.

A: Given, 15p2+50x2=6000 And, p=$5 it is decreasing at the rate of 75 cents per month. So, dpdt=-0.75…

Q: Question 8 Find f'(x) if f (x) = log (cot 8x). 8 tan 8x In 6 - csc² 8x tan 8x In 6 8 csc 8x sec 8x…

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Q: ds dt + Bs = C; when t = 0, s = 0, A, B, C = R – {0} :

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Q: The rate of change of the number of people who knows a certain rumor is proportional to the number…

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Q: hello, the actual answer should be only B and not A, yet i don't know why. please help

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Q: Find the exact value of sin 11π 12 by using a sum or difference formula.

A: sin (A +B ) = sin(A)× cos(B) +cos(A)×sin(B)

Q: Question 3 Consider the function f of one variable with equation y = f(x) = ln(a − e*) where a is an…

A: Given function is f(x)=ln(a-ex)Note:-As per bertleby guideline I have to solve only first three…

Q: a) α (²)+(!)-(3) Suppose the above equation is expressed as Ax = b with x = matrix form as (Ab)= = α…

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Q: Use the 2 solutions Bernoulli's equation y y' + √y=0

A: Given differential equation y' + yx - y = 0

Q: 1. The section of a certain solid contains a semicircle, a rectangle, and a triangle, as shown. The…

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Q: f(x)=64² +3 g(x) = 45+2 h(z) = 16 (1024)

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Q: Consider the following linear equations: 7x + 6y + 5z = −7 7x +(18-k)y + 4z = -5 7x + 6y + (9- k)z…

A: Let's solve given linear equations for no solution and infinite number of solution.

Q: Which of the following differential equations is NOT separable? O Oh(x) = g(y) dy dx O None of the…

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Q: O y 24 14(x-4) =

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Q: 4. Find the equation of the plane that contains both the lines L₁ and L2 whose parametric equations…

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Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) 1 x + 3 ✔…

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Q: Question 1: F(t)= -{³ (a) 5. 2t+1 (b) 500-1500 t-1 The amount of money raised during a fund-raising…

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Q: Find the exact value of cos(-165degrees) by using a sum or difference formula.

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Q: 7. Determine the y-intercept of the exponential function j(x) = a(b)*, if a > 0, b>0. A. 0 B. 1 C. a…

A: To determine the y‐intercept of the following exponential function. jx=abx, if a>0, b>0

Q: 1. The position function of an object moving horizontally along a straight line as a function of…

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Q: Write the coordinates for the center of the hyperbola: A/ (x-2) (y + 1)² 64 36

A: given  (x-2)236-(y+1)264=1standard form of hyperbola is  (x-h)2a2-(y-k)2b2=1hwer centre is  (h,k)

Q: Find sin 2x, cos 2x, and tan 2x if tanx = - N/W 3 2 and x terminates in quadrant IV.

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Q: Use a sum or difference formula to find the exact value of the following. 13π 13π 4π 30 30 15 COS…

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Q: Find the velocity and position vectors of a particle with acceleration a(t) v(t) = ( (0, 0, 10), and…

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Q: 2. Without graphing, Find the vertex and y-intercept of the quadratic function: f(x) = -4x² - 8x - 4…

A: To find the vertex and intercept of given quadratic function.

Q: Apply the definition of the difference quotient to the function Blue and help Steven evaluate it

A: We have given  Blue(s) = 5s2+1 Replace s by s+h Blue(s+h) =5s+h2+1 Blues+h=5s2+2sh+h2+1 Blue(s+h)…

Q: Find the sum of the given infinite geometric series. a₁ = -8, r=-0.17 O-9.64 O-13.88 O -6.3 O-6.84

A: The geometric series has a1=-8, r=-0.17. We have to find the sum of the infinite series.

Q: Physics shows that when an object is thrown upward with an initial velocity of vo, then its…

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Q: 2) Find the range: A)y=1-2x-r² Bly= C)y=1-(0.1")

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Q: A. Find all the partial derivatives of f(x,y) = 12x²y + 2xy + 5y²

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Q: Simplify the expression by using a double-angle formula. sin 28° cos 28°

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Q: 11 x cos(x) dx

A: To find the value of given integral.

Q: 2. The heights, h, of two balls, in metres, after t seconds are shown in the graph. ba 20 16 12 8 4…

A: Let's find time interval for two balls less than 2 m a parts and maximum height between two balls.

Q: Find the unit tangent vector at the indicated point of the vector function T(A/2) = ( r(t) = et…

A: Given vector r( t ) = e6tcost i + e6tsint j + e6t  k

Q: [ (ln(7x))²dæ

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Q: 7. The volume of the paralleliped with corresponding vectors (2, 1,0), (-1,2,2) and (0, -2,1

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Q: Find Vw. = 4 ln √√x² + 6y² + 3z² NOTE: Give your answer in unit vector notation; that is, in terms…

A: See this solution in below.

Q: For non-zero, non-parallel vectors u and 7 in R³, the cross product u x u is: (choose one or more of…

A: Given :For non-zero, non parallel vectors u→ and v→ in R3then u→×v→

Q: 5. The plane are shown in the figure consist of an isosceles trapezoid (non-parallel sides equal)…

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Q: A manufacturer estimates that the marginal cost of producing q units of a certain commodity is C'…

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Q: Find the average rate of change of the function f(x) = = Average rate of change Give exact answer! =…

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Q: For the following relation, give the domain and range, and indicate whether it is a function. {(6,…

A: The given relation is:  6, 8, (1, 9), (7, 1), (4, 5)

Q: rydz, where C' is g 5t, and 0 ≤ t ≤1

A: We have to choose the correct option from the given options according to the given information

Q: Find an equation for the tangent plane and parametric equations for the normal line to the surface…

A: Topic = Vector