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Q: Find the general solution of the differential equation. dy/dx= x-6/y^3

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Q: Find

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Q: Evaluate the integral.

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Q: What is 85° and -20° converted to radians?

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Q: Find fx and fy, and evaluate each at the given point f(x, y) = xy/(x − y), (2, −2)

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Prove the identity. (cosh x + sinh x)n = cosh nx + sinh nx (n is any real number)

A: The cosh x and sinh x are given by, LHS =

Q: evaluate the integral.

A: Consider the given integral: Here the objective is to evaluate the given integral

Q: Solve the initial value problems ds/dt = 1 + cos t, s(0) = 4

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Q: Graph two periods of the given tangent function y = -2 tan x/2.

A: The given function is y=-2tanx2. Sketch the graph of the above function as shown below.

Q: Linear and quadratic approximationa. Find the linear approximating polynomial for the following func...

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Q: how do I evaluate the limit

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Q: 13.4 Question 15

A: Given The equation of the curve is Formula for curvature is

Q: Find the midpoint of each line segment with the given endpoints (√50, -6) and (√2, 6)

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Q: Find derivitive and use best rule to solve c48

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Q: Let v = 2i - 5j and w = -4i + 3j. Find v . v

A: The vector v = 2i-5j The vector w = -4i+3j

Q: I'm stuck on problem B please help

A: Consider the given function: Here the objective is to determine the coordinate of vertices of the f...

Q: Suppose that an oil spill in a lake covers a circular area and that the radius of the circle is incr...

A: Given: An oil spill in a lake covers a circular area and that the radius of the circle is increasin...

Q: Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial functi...

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Q: Use the graph to estimate the velocity of the airplane at t= 0, 2, 4, 6, and 8 hours. Put your answe...

A: The given graph of a position function is, The slope of the position versus time graph is the value...

Q: Find the points on the graph of f (t) = t 3 - l2t + 4 where the tangent line is horizontal.

A: Now tangent line is horizontal if slope of the tangent line is zero and slope of the tangent line is...

Q: 13.4 Question 14

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Q: Graph the functions y = |1 - x | - 1

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Q: Differentiate the function.

A: Given:

Q: find the linearization L(x, y) of the function ateach point. ƒ(x, y) = x2 + y2 + 1 at a. (0, 0), b. ...

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Q: Need to find derivative and best rule to solve c44

A: to find derivative of y=sin3xcos2x

Q: Does vertical stretching or shrinking change a graph’s shape?

A: Consider y=f(x)

Q: Solve: 10x = 120,000.

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Q: Find the first four nonzero terms in the Maclaurin series for the functions sin (tan-1 x)

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Q: Solve and graph the solution set: x2 - x > 20.

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Q: Find the minimum value of 4x2- 4x+11

A: The given quadratic expression is 4x2-4x+11. The minimum value of a quadratic expression is the plac...

Q: 13.4 Question 11

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Q: Discrete mathematics

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Q: Find the domain of the rational function f(x) = (x2 - 9)/(x - 2) and graph the function.

A: The given function is:

Q: sketch the region bounded by the given lines andcurves. Then express the region’s area as an iterate...

A: The lines are y=x-2 y=-x And curve is y=x

Q: Calculus Question

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Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they ...

A: The function is given here, For maxima minima, So, the function has only one extrema in its natura...

Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds to t = 0. Q corre...

A: We have to represent a line segment in the vector-valued function that starts from a point P and en...

Q: Simplify rational expression. Find all numbers that must be excluded from the domain of the simplifi...

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Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = ti + 8t2j,...

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Q: a. Use a graphing utility and the change-of-base property to graph y = log3 x. b. Graph y = 2 + log3...

A: a) We graph y = log3 x=ln(x)/ln(3) using a graphing utility.

Q: What is the value of c such that the line y=2x+4 is tangent to the parabola y=cx^2.

A: Given that the line y=2x+4 is tangent to the parabola y=cx2. The derivative of y=cx2 is dydx=2cx. No...

Q: What is the pattern of the isociines? Do they help visualize behavior?

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Q: The surface area of a right-circular cone of radius r and height h is S = Tr/r² +h?, and its volume ...

A: Given The surface area of a right circular cone of radius r and height h is and volume is

Q: Write as a single logarithm:

A: a) We first use the exponent rule of log. 12log(x)+4log(x-1)=log(x12)+log(x-1)4=log(x)+log(x-1)4 The...

Q: What are 3 angles (at least one negative) that are co-terminal to 175 degrees?

A: Coterminal angles are those angles having same initial and terminal side. In order to find the coter...

Q: Chemical rate equations The reaction of certain chemical com- pounds can be modeled using a differen...

A: The given differential equation is:

Q: Use a computer algebra system to find the derivative of the function.

A: The given function is:

Q: I need a solution

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Q: The accompanying figure shows the plot of distance fallen versus time for an object that fell from t...

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Q: Find derivitive use best rule c45

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