Given point A (6,5,8) and plane p with the equation 3x + 2y + 5z = - 24.

Q: Solve the given initial value problem. O x³y² - y³ = 45 O x³y² + xy³ = 18 0 x¹y² + xy³ = 90 O x¹y² +…

A: Given data:- dydx=-4x3y+y22x4+3xy, y2=-3

Q: Use the cross product to find the area of the triangle with the vertices P = (1, 1,5), Q = (3, 4,…

A: NOTE: Refresh your page if you can't see any equations. . given 3 points are

Q: The angle between 0° and 360° that is coterminal with the 1545° angle is degrees.

A: Ans = 105 degree  For detail go through the solution ...I have solved in detail

Q: 3. The graph of f'(x), the derivative of f(x), is continuous for all x and consists of five line…

A: The graph of f'x is given as , find the absolute maximum value of fx over the interval 0,3.

Q: C. Find the standard form of the equation of a circle given the following conditions. 11. Radius is…

A: To find the standard equation of the circle given the following conditions.Radius is 5 and passes…

Q: Find values for c and d that make h(x) continuous. ۱۱ - c=d=0 2x h(x) = cx²+d O c = 2 and d = 0 O c…

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Q: Make a table of values for the equation. y = 5x X -2 1 1 2 || y Sketch a graph of the equation.

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Q: 1. Find an equation of the tangent plane to the surface of z = sin(x - 2y) at the point (7,2,0).

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

A: Given:- y1=x-33 , y2=x-3

Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

A: We can determine the derivative in the below steps.

Q: d the limit lim X-3 x-2-1 x-3

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Q: 10) Consider three functions x(t), v(t), and a(t), such that dx dt dv = v(t) - -= a(t) dt The…

A: NOTE: Refresh your page if you can't see any equations. . here the given velocity function is

Q: Find the x- and y-intercepts of the graph of the equation. y = x + 9 x-intercept y-intercept (x, y)…

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Q: 8. (Optimisation.) The function f(x) = 2x³ - 3x² - 12x+80 has domain 0 ≤ x ≤ 4. Your goal is to find…

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Q: Find the solution of the differential equation (6x² − y + 3) dr+ (3y² - x - 2) dy=0 1 O x + O 2x³ O…

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Q: 1 Find the Domain and Range for y = 1-√5-x Graph and find the domain and range for y = sin²x + 1

A: 1) The given function is: y=11-5-x

Q: √x X² 2x-1 dydx

A: The objective of the question is evaluate the double definite integral.

Q: Find the general solution of the given differential equations by the concept of Exact DE and…

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Q: H.W. Solve 1) y" - 2y' + y = e* 2)y"+y'-1 = 3 cos(x) 3) (D² + 4)y = 8 sin( 4) y" + 3y' + 2y = 6xe*…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Find the limit x-5 lim x→5 x²-25

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Q: Solve the diff eq. (Homogenous) dy dx + x²(y² + 3) y(x³ + 1)

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Q: Consider the function defined as follows: f(x) = 7x² - 9. f(x+h)-f(x) h Find the limit of O 14x 2x+h…

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Q: 4. Evaluate: lim(x² - 10x) x→6

A: This question can be solved by replacing x by 6 in the expression x2-10x.

Q: 2. The population of a city is growing continuously by the same percent each year. The population at…

A: We can solve this by following methods.

Q: The graph of a function f is given. y 1 1 Determine whether fis continuous on its domain.

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Q: Use the Chain Rule to find dz/dt. z = tan−1(y/x),    x = et,    y = 5 − e−t

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Q: 6. Evaluate: lim x² +16 X-4 X-4

A: NOTE: Refresh your page if you can't see any equations. . here we have a rational function  and x=4…

Q: 4. Find the total area bounded by given curve and the x-axis. 4a) y = 3x² + 1, 0≤x≤1 4c) y =

A: 4a) Given curve, y=3x2+1,                   0≤x≤1

Q: Find the integral. (Use C for the constant of integration.) 9 J 49x2 dx

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Q: Find any vertical asymptotes of the function: f(x) = x-4 x² - 4x - 45 Write the equation of the…

A: The given function is: fx=x-4x2-4x-45   As we know that; To calculate the vertical asymptote, equate…

Q: Use the final value theorem, the final value of f(t) = 6. (et +2) - 10 is .....

A: final value theorem

Q: Function 1 t h(t) = sin t+=e 5 Point πT 1 I, -e 5 (a) Find an equation of the tangent line to the…

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Q: Write a function of the form f(x) = csc (Bx-C) for the given graph. 3 2 1 0 -1 -2 -3 F 12 5п 12 3πI…

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Q: 2₁ The graph below models the height of Sam's kite over a period of time. Explain what the zeros of…

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Q: 6. x = c₁ cos tot + c₂ sin cot; w a parameter.

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Q: question 21. A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine…

A: We will find the required.

Q: - 24 (a) lim f(x) X-8 (b) lim f(x) X-8 -16 -8 16 BO -8 - 16 -24 00 8 16 24 X

A: Limit gives the approaching value of the function when you start going close to the point.  1. If…

Q: Find the value of c such that the function is continuous on the entire real number line. f(x)=…

A: Topic = Functions

Q: 55 43 3+ kt 410 -8 -7 -6 -5 -4 -3 -2 -1 -14 -2 -3 2 3 4 5 6 7 8 9 10 the graph of y = f(x) is shown…

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: 3. lim_ f(x) = X-3- lim f(x) = X-3+ lim f(x) = x-3 f(3) =

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Q: Given the graph of f(x)=√x as shown, graph the function -4f(x-4). -8 -7 -6 -5 -4 -3 -2 -1 8+ 7+ 6+…

A: We can graph the function asked using the given data.

Q: Use Green's Theorem to evaluate 90 O O -384 O -48 fayd r²y² dr + (yr³+ y²) dy where C' is shown…

A: As we know from Green's theorem: ∫cMdx+Ndy=∫∫R∂N∂x-∂M∂ydA Where, ∬dA=∬dxdy or ∬dydx And We know the…

Q: The graph below is the function f(x) 5- -4 -3 2 -1 Find lim →4 Find lim →4+ Find lim H-4 4 30 1 f(x)…

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Q: Needed to be solved correctly in 10 minutes and get the thumbs up please show neat

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Q: (a) Find the Taylor series expansion of the function cos x around x = 0 (b) Use the first three…

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Q: az au əz əv əz ?w 11 11 || z = x² + xy³, əz əz du av az aw x = uv³ + w², y = u + vew when u = 1, V =…

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Q: 3. Find the area of the region enclosed by the curves y = x² + 2, y = -x, x = 0, and x = 1. (a) (c)…

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Q: Find the equation for the tangent to the curve at the given point using the limit definition of…

A: Find the equation for the tangent line to the curve at the given point by using the limit definition…

Q: 2. In 2000, Morgantown's population was 26,800. It's population increases by 1.2% each year. a.…

A: Solve

Q: 13. If f is a continuously differentiable real-valued function defined on the open interval (-1, 4)…

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