4. p(x)=x²9x q(x)= -10 Find (qp)(x) and write the domain in interval notation.

Q: Consider the following. x = sin(4t), y = cos(4t), z = 8t; (0, 1, 2π) Find the equation of the normal…

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Q: 10. x = (y-2)², y = x about y=-1

A: Solution is given below:

Q: 2. Find the difference quotient of f(x) = x³ -1. Simplify until h in denominator cancels out.

A: f(x)=x3-1difference quotient=f(x+h)-f(x)h(a+b)3=a3+b3+3a2b+3ab2

Q: Find the constant a such that the function is continuous on the entire real line. x ≥ 1 x < 1 a =…

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Q: Solve the differential equation. dy dx = 6x√/25-y², -5<y<5 The solution is (Type an equation.) ***

A: The solution is given below:

Q: Let f(x) = x - 10 sin(x) Find the least positive value of x for which the graph of the function f…

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Q: Consider the function f(x) = 12x5 + 15x¹ − 240x³ + 3. ƒ(x) has inflection values at (reading from…

A: f(x)=12x5+15x4-240x3+3for inflection points put f''(x)=0d dx(xn)=nxn-1if f''(x)&gt;0, than concave…

Q: Find dy/dx when e2y = 6x² + 2y². 1. 3. 4. dy dx dy dx dx dy dr dy dx || || || || 2x 3x² + y² + y 3x…

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Q: 4.) Solve by separation of variables: x' = x cost where x(0) = 1.

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Q: Use linearization to approximate ln(2.5)

A: Given: Use linearization to approximate ln(2.5)

Q: 3. Find the equation of the line tangent to the graph of the function g(x) = 2cos (x)sin (x) at the…

A: Given query is to find equation of the tangent line.

Q: dy dx 11. Assume that x and y are both differentiable functions of t. Find dt when x = 16 and dr the…

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Q: Use the table below to evaluate the derivatives below. T f(x) f'(x) g(x) g'(x) h(x) | h'(x) h(z)h(2)…

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Q: 3 3. Find the value of the definite integral: So 2 7t² + 10t - 1 t3+3t²-t-3 dt

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Q: Solve the differential equation by regarding y as the independent variable rather than x. (4x+y²³¹)…

A: Given :4x+y3e4ydydx=1

Q: 13) Luong climbs 213 meters up the side of a pyramid and notices that the angle of depression from…

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Q: 5. y=x²-2x, y=x about y = 4

A: Volume

Q: Calculus is a powerful tool used in economics. One of the initial applications areas is the study of…

A: Introduction: The average cost deals with the summation of arithmetic cost divided by the number of…

Q: Find the indicated partial derivatives A) f(x,y) = arctan(y/x), fx(2, 2) B) f(x,y) =…

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Q: 5. If S = 472 and dr dt 1 2 then find d.S dt when r = = 7.

A: Given:- S=4πr2 ,drdt=12

Q: Find the linearization L(x,y) of the function at that point. f(x,y) = x3y4  (1,1)

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: Given:   To determine: The absolute maxima and minima

Q: An object moves along the y axis (scale in feet) so that at time x (in seconds) it is at f(x) = -5x²…

A: To find at what time velocity will be 0.

Q: The arc length of the curve y = Oe+e-¹ O In(e-e-¹) 0₂ 01+ In(e+e-¹) Oin(e+e-¹) in(x-1) from x = 1 to…

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Q: evaluate using u substitution

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Q: Find the two x values at which the tangent line to the curve y = x+3 x+2 Smaller x value: Larger x…

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Q: Calculus is a powerful tool used in all areas of physics. One of the initial applications areas is…

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Q: Check whether the function y= Find xy' for the function y = xy' = cos 5x X cos 5x X is a solution of…

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Q: A retail store estimates that weekly sales s and weekly advertising costs x (both in dollars) are…

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Q: 65. Find all points on the graph of the function f(x) = 2 sin x + sin²x at which the tangent line is…

A: The given function is: fx=2sinx+sin2x  To find all points on the graph of the function at which…

Q: Solve the given differential equation. All solutions should be found. 3x² - 7y-y³ 7x + 3xy² dy dx =…

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Q: If x Ty M equation = Q, where is a function of y only, then the M + Ny' = 0 has an integrating…

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Q: If f and g are functions that satisfy f'(2) = 5 and g'(2) = −2, find h'(2) for h(x) = 2f(x) - g(x) +…

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Q: Learning Target DA2: I can find the equation of the tangent line to a function at a point and use…

A: Given : r=4000 midr = 80 mi

Q: f(x) x²-x-In(x) nd the interval(s) on which f is increasin

A:

Q: dx 3. The rate at which quantities x and y change is given by cos (). If y(1) = π, find y(x). 2x

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Q: II. Find the sum of all given functions. 1. f(x) = 2x and g(x)=x-4 3x-4 2. f(x) = x² + 3x - 5 and…

A: Introduction: Sum of Two Functions: The sum of two functions is found by adding the two functions…

Q: Let y be defined implicitly by the equation 4x3+8y3=71 Use implicit differentiation to find dy/dx.

A: We can solve it as 1. Differentiate every terms on both sides with respect to x.  2. Write dy/dx…

Q: = 4x2 + 7xy +

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Q: Find the integral using the substitutionu=t7. Enclose arguments of functions in parentheses. For…

A: Given query is to find the integral.

Q: Find (-1-√ 3i)^4 and write the answer in rectangular (standard) form, simplifying all fractions and…

A: We have to simply the given vector.

Q: Find h'(2), given that f(2)= -5, g(2) = 3, f'(2) = -2, and g'(2) = 4. (a) h(x) = 4f(x) - 2g(x)…

A: Answered first three subparts as per our company guidelines.

Q: Find the fluid force on the vertical side of the tank, where the dimensions are given in feet.…

A: The given data is:   To find the fluid force on the vertical side of the tank

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = x²cos x, n = 2, C = T

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Q: == 3x²y+y³-12x-15y +3

A: Given :fx,y=z=3x2y+y3-12x-15y+3

Q: in two ways. 1. In this problem you will find the derivative of f(x) X (a) Method 1: First simplify…

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Q: If f(x) is a constant function, then f'(x) is zero. True False

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Q: 3. Find the Critical Point(s) (both coordinates) of the function y = x².Inx.

A: The given function y=x2 lnx. We have to find the critical points of the function.

Q: 5 How long should an escalator be if it is to make an angle of 33° with the lower floor and carry…

A: Given: Angle formed by the ladder, θ=33o. Distance between two floors, d = 21 feet. Let, 'h' be…

Q: 4 solute minimum value of f(x) = 2x² - 4x such answer exists. IMAL PLACES.)

A: