Find antider?vative F(x) of the funċtPon an fGx) = Bsinx that F(O)=1. such

Q: Use a graphing utility to make a table showing the values of f (x, y) at the given points for each p...

A: The table of values is given by evaluating the given function at the given (x,y) values (Plug the va...

Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 7x5 on the in...

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Q: Evaluate each expression without a calculator. a. log10 1000  b. log2 16  c. log10 0.01  d. ln e3  e...

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Q: Log4(x2+8) using base e

A: Given  The logarithmic expression is Log4(x2+8) Change of base formula for log 

Q: Determine whether the statement is true or false. If it is false, explain why or give an example tha...

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Q: determine all equilibrium points of the given system and, if possible, characterize them as centers,...

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Q: Table look-up integrals Use a table of integrals to evaluate the following indefinite integrals. Som...

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Q: Maximum error Use the remainder term to find a bound on the error in the following approximations on...

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Q: State the name of the property illustrated : (3 * 7) + (4 * 7) = (4 * 7) + (3 * 7)

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Q: Give an example of a rational number that is not an integer ?

A: Rational number:  A rational number is a number which can be written as a ratio of two integers. A r...

Q: Calculate the area between the functions below on [0, 6]. Show your steps and calculations to suppor...

A: Given: The graph if the functions f(x) = 4 - x and g(x) = x is given below,

Q: Let f(x, y) = xeY, P = (2, -1), and v = (2, 3). Calculate the directional derivative in the directio...

A: The given function be: Now,

Q: Two sides and an angle (SSA) of a triangle are given as a = 7, b = 28, A = 12°. Determine whether th...

A: Given  By sine rule:  

Q: Closest point on a curve Find the point P on the curve r(t) that lies closest to P0 and state the di...

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Q: PROVE: Logarithms of a Geometric Sequence If a1, az, az, ... is a geometric sequence with a common r...

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Q: It is observed that a certain bacteria culture has a relative growth rate of 12% per hour, but in th...

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Q: Find limx->∞,if for all x>5

A: We apply limx->∞ on all sides. 

Q: Find the second derivative of the function. g(x) = 4 cot x

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Q: For what values of ρ does Σ en/(1+e8n)3p converge? (Sigma values are from n =1 to infinity)

A: Given summation 

Q: Find the x-intercepts, correct to four decimal places, of the graph of the function g(x) = 4tan2 x -...

A: g(x) = 4tan2 x - 8tan x + 3 We need to find the x-intercept  

Q: give equations for ellipses. Put each equation in standardform. Then sketch the ellipse. Include the...

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Q: Evaluate the function f(x, y) = 2x − y + 3 at the given values of the independent variables. Simplif...

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Q: Give the center and radius of the circle described by the equation x2 + y2 = 16 and graph the equati...

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Q: 6x -dx. Evaluate the integral (72 + 1)( 2· x – 2)

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Q: 5.4 Problem #28 Pictures attatched include problem #28, and exercise 24 aka problem 24

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Q: Find a formula for the function g(x) whose graph is obtained from f(x)= |x| by horizontally stretchi...

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Q: find the derivative y=-5sin(6x^4)

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Q: A manufacturer estimates a production function to be f(x, y) = 100x0.6y0.4 where x is the number of ...

A: Given  Production function is  f(x, y) = 100x0.6y0.4  where x is the number of units of labor and y ...

Q: Determine whether the equation defines y as a function of x : x2 + y2 = 16

A: Therefore for each value of x, there exist two different values of y.

Q: can you help me pls

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Q: Evaluate the definite integral.

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Q: Evaluate the definite integral. 1/6 csc(3nt) cot(3nt) dt /1/18

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Q: Find the area of the region bounded by the graphs of the given equations. y=1-x²,y= 1-4x The area is...

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Q: The angle 0 between the vectors u and v satisfies cos 0 So if u and v are perpendicular, then u'v = ...

A: Given, the vectors u = (4, 5, 6) and v = (3, 0, -2). We have to find the angle between two vectors u...

Q: Determine the following indefinite integral. 1 dx

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Q: Perform the indicated operations and write the result in standard form, √-81 - √-144

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Q: Guestion 3 ) Find the irgest volume of a re made by cutting little squeres of on bm. x 14m. rectongu...

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Q: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule,and (c) Simpson’s Rule to approximate the given ...

A: given

Q: Volumes of solids Find the volume of the solid that is generated when the given region is revolved a...

A: The volume of the solid by shell method is,

Q: A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after onlin...

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Q: Think Diagonal Usethe ideas of Problem 15 to evaluate the determinants in Problems 16–19. -3 4 0 0 7...

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Q: Given f(x) = 3x3 + 4x2 - 5x + 3, use the Remainder Theorem to find f(-4).

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Q: Find the limit.

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Q: Use the model for projectile motion, assuming there is no air resistance and  g = 32 feet per second...

A: Given Data: The gravitational acceleration is: g = 32 ft/s2 The initial height is: hi = 6 ft The ini...

Q: Intersection points Use algebraic methods to find as many intersection points of the following curve...

A: r = cos 2θ and r = sin 2θ We need to find the intersection point.

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.