(2) Solve the following (i) |10–3x|517 (ii) x² – 6x 213.

Q: Find the standard equation of the parabola which satisfies the given condition. Vertex (-8, 3), dire...

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Q: Let f(x) = 2tan(x)/x. Find the following: f'(x)= f'(4)

A: We have to find the derivative and its value at x=4.

Q: Consider the function on the interval (0, 2x). (x) = 4 sin? x + 4 sin x

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Q: An auto weighing 2,500 pounds is on a street inclined at 10° with the horizontal. Find the force nec...

A: Find your answer below 

Q: Use your graphing calculator (or Desmos 2) to graph the following quadratic functions. a. Let f(x) =...

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Q: Solve the differential equation below: Find the particular solution: (D+1)^2 y=3xe^-x

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Q: 3. For the series 2 + 6 + 18 + 54 + ... etc., find; (i) the ..... th 12" term (ii) the sum of the fi...

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Q: Given Cost and Revenue functions C(q) = q° - 9q° +51q + 5000 and R(q) = - 3q +2600q, what costs shou...

A: Given query is to find the cost for maximum profit.

Q: Solve the following differential equation (1+x)y' – y=0 Select one: O a. Inlyl=In|1-2xl)+c O b. Inly...

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Q: f(x.y) = / (x² - 16) (y² - 9) Find the domain of the function. Express the domain so that coefficien...

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Q: c. Let h(x) 5x2. Determine the roots of h, as well as the x-value of the vertex of the graph of h. i...

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Q: Solve the following differential equation dy _ x²+y² dx ху Select one: O a. y? = x?Inc²x² O b. y? = ...

A: Solving by exact differential equations

Q: Determine

A: We will find the critical points by equating the derivative to zero. 

Q: Current Attempt in Progress The quantity of a product demanded by consumers is a function of its pri...

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Q: dx (25 – x2)3/2

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Q: ve the problem (#1 – 3). Round your answer, if appropriate. 1) One airplane is approaching an airpor...

A: Given query is to find the rate of change of distance between the planes.

Q: Consider the following function. (x) = 3x3 + 9x2 – 27x (a) Find the critical numbers of f. (Enter yo...

A: Consider the function f(x)=3x3+9x2-27x, then we have to answer the following... Solution (a): To fin...

Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. = Vt, y =...

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Q: 7. Find the value of p for which the series > (-3)"(p – 5)" is convergent. | n=1

A: see below the answer and explanation

Q: prove that tanx V secxsinxtanx %3D

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Q: If cotx 12 find the other trigonometric functions

A: topic - trigonometric ratios

Q: Question The position of a car traveling along a highway is given by the function s(t) = -r+ + 121-5...

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Q: oblem Set C 2x+3 Find the domain of the function H(x) .3 x'-4x %3D

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Q: Determine the derivative of f(x) = 3 x2 In x with respect to x. f '(x) :

A: We differentiate both sides with respect to x and apply the rule d/dx(uv)=ud/dx(v)+vd/dx(u)

Q: Question Given the following table of values, find h'(-1) if h(x) = (x³ + p(x)". %3D -1 1 2 p(x) 5 1...

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Q: Find the first partial derivatives of the function. f(x, t) = tªe¬x %3D

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Q: The "vertex" of the graph of a quadratic function is the point that corresponds to the minimum (or m...

A: a) f(x)=11x-63x-8b) gx=x2-92c) hx=3x2+12x+5

Q: 4) Verify the identity using the definitions of hyperbolic functions. e2x + 1 e2x – 1 coth x

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Q: Determine which of the following expressions are equivalent. Show your method. Hint: there are two e...

A: Here we will find which expressions are equivalent,

Q: Find the point on the curve y = 23/2 for which the tangent line to the curve is perpendicular to the...

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Q: Determine the quotient and remainder if P(x)=x'+6x'+2x'+x-3 is divided by D(x)—x'—2х—1

A: Topic = Algebra

Q: Find the standard equation of the parabola which satisfies the given condition. Focus (7, 11), direc...

A:

Q: Plot the following functions 1. y = - V2x +1

A: x y=-2x+1 -12 0 0 -1 1 -3 2 -5

Q: Find the volume of the solid whose base is the region in the xy-plane that is bounded by the parabol...

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Q: Let f(x) = 6/x + 1. a. What is the average rate of change of f over the interval from x = 3 to x = 4...

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Q: Given f (x) = 1- 1 / (x + 2)² Find : f(-x)

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Q: 3. y'+y tanX = secx

A: topic- differential equations

Q: Find fy(1, 0) and fy(1, 0) and interpret these numbers as slopes for the following equation f(x, y) ...

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Q: Given revenue and cost functions R(g) = 80g - 0.4q and C(g) = 15q + 500, find the marginal profit at...

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Q: Find all the points of the graph of y = (x - 2)2 at which the tangent line is perpendicular to the l...

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Q: Given the the parametric curve S x(t) = est – 2t l y(t) - 8t sin t dy (a) Find an expression for dx ...

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Q: 4. Insert two geometric means between 5 and 8.64.

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Q: solve for x the equation 4y = 3x2 + 2x – - 5

A: The given equation,     4y=3x2+2x-5

Q: Use a double-angle formula to rewrite the 5 - 10 sin?e - 5 cos 20 5 cos 20 5 sin 20 O - 5 sin 20

A:

Q: Last month, Kaitlin's average daily balance on her credit card was $1,950.77. The annual interest ra...

A: minimum payment on the card is the interest charge plus 2% of the ending balance or $25, which ever ...

Q: Find the volume formed by rotating the region enclosed by 10y and y = x with y > 0 about the y-axis ...

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Q: 2) Water is being drained from a container which has the shape of an inverted right circular cone. T...

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Q: Answer the given DE below: x (dy/dx) +y=y^2

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Q: O Define f (x) = 1x = Graph it. Label as a piece wise defined function your graph.

A: Given

Q: 6. What algebraic process will you use to find the intercepts (a and y) of f (2)? Find the intercept...

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