= Using calculus, find the absolute maximum and absolute minimum of the function f (x) [-3,2]. absolute maximum = absolute minimum = 5x2 10x + 2 on the interval

Q: ✓cos x lim x 0 1 cos x - -

A: The given limit is limx→01-cosx1-cosx

Q: Suppose that a particle moves along a straight line with velocity v(t) = 10 - 5t, where 0 ≤ t ≤ 1.5…

A: The answer as follows:

Q: Solve the differential equation

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Q: f (x, y) = 169 x² + y² at (-3,2).

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Q: J

A: Topic:- geometry      Definition :- system of equation is defined as  two or more equations that…

Q: a. b. C. d. e. x² + 4x + 16 2 x² + 8x + 8 2 x² + 8x + 64 +2 x² + 4x + 5 2 x² + 8x + 16

A: Observe the mixed term and then guess the possibilities.

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Q: se the limit definition to find the instantaneous rate of change of f(x) = 3x^2 - 4x at x= -3.

A: The instanteneous rate of change of a function f(x) at x=a is the limit of the average rate of…

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A: Solution

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Q: Write the sum using sigma notation. 2+4+6+ + 50 71°F Sunny k=1 Need Help? *** Read It Watch It

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Q: why is V e3x3? and pls write the solution in a paper instead of typing digitally to understand the…

A: Let's solve integration.

Q: x² yey lim(x,y)→(0,0) x4 + x + y²

A: To evaluate the following limit.limx, y→0, 0 x2yeyx4+x+y4

Q: Q3. Find the distance between the points AB and BC where A is (2,1,0), B is (-1,3,1) and C is (-1,…

A: The points A2,1,0, B-1,3,1 and C-1,0,1 we have to find the distance between the points AB and BC…

Q: 5. The movement of the crest of a wave is modelled with the function h(t) = 0.2 cos(4t) + 0.3…

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Q: Find the domain and range for the function f(x) = LO T 5 3x 1- e

A: Find the domain and range of the function fx=51-e3x

Q: 40- 30 20 10- -10 10 10 20 30 40 50 60 Christian is a lifeguard and spots a drowning child 60 meters…

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Q: Evaluate [(e²/² - x)(e²/² + x) dx. Show your work.

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Q: tim X-1 2 x² + ax +b = 2 find 9, and b a, X² + X=2

A:

Q: D) { (-)"} [Select] [Select] converges to 2.

A: Please see the below picture for detailed solution.

Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 5x e 8xy fxx (x,y) =…

A:

Q: Which equation represents a valid first step to solving the following system of equations using the…

A: Given,           2x-2y=5 and -4x+5y=11To find : Solve using elimination method.

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A:

Q: Let f(x) = ln(x² + 2x + 6) f'(x) =

A: We have to find the derivative.

Q: A body of mass 4 kg is projected vertically upward with an initial velocity 34 meters per second.…

A: Solution is given below:

Q: ● ftan(x) sec(x) dx

A: We will use substitute method to solve the integration

Q: ● ftans (x) sec (x) dx M

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

Q: Write the sum using sigma notation. 1² +2²+ 3² + +9² K Σ Need Help?

A: To write the sum using the Sigma notation.

Q: Ronnie scored 8 baskets in his basketball game for a total of 18 points. How many two-point and…

A: Assume number of two points and number of three points and then go ahead.

Q: The following factors correspond to which one of the following equations: (x + 1) (x - 6)? x^2 + 7x…

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Q: Rewrite sin(x+ H Enclose arguments of functions in parentheses. For example, sin (2x). sir 20 in…

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Q: a polynomial a 17 minimal poly ent. dent.

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Q: Find the radius of convergence for: (-1)"x" √n +7 n=1

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Q: In the figure, the regions A, B, C and D bounded by the x-axis and the graph of f have the following…

A: Here we will find the definite integral,

Q: A region is bounded by the curve y^2 =4x  and the line x=y Find the distance of the centroid of the…

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Q: For f(x)=(sqrt x) + 2x , find the equation of the secant line passing through x1=4 and x2=9. Write…

A: Please see the below picture for detailed solution.

Q: When completing the square for the quadratic equation shown below, how is c calculated?

A: Our Aim is to show how c is calculated when completing the square for thequadratic equation…

Q: Find 13 sin(82)da [13 sin(8x)dz = +C

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Q: Write the equation r²+r(10 sin 0-8 cos 0) = 0 in Cartesian coordinates and identify the…

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Q: Find the area under the curve y Т over the interval [1,4]

A: Topic = Area

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A: Slope of the curve is given by dy/dx

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A: I have appended the formula used in the solution part of the question

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Q: Differentiate the following function. You do not need to simplify the derivative. dy dx || y = 2e²²

A:

Q: Solve the differential equation dy dx y+√√x²+y² X O a. y² = 2x-1 O b. x2 = 2y-1 O c. √x² + y² O d.…

A: To solve the given differential equation.

Q: 1. Let f(x, y) = y²exy. (a) Find the normal vector to the graph of f(x, y) at (0, 1, 1).

A: Please see the below picture for detailed solution.

Q: Consider points A(4, -1, 3), B(3, 1, 6), and C(1, -3, -3). (a) Find the area of parallelogram ABCD…

A: The given problem is solved below in detail.

Q: Find fxy(x,y) if f(x,y)= e 6xy² fxy(x,y)=

A:

Q: Find the local extrema of the following function. f(x,y) = x³ - 3xy² +12y² For the critical points…

A: the solution is given below