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Q: Please show all steps

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Q: Let a, b, and c be integers. Prove that if a divides b and a divides c,then a divides (b-c).

A: a, b and c are integers, a divides b and a divides c. Since a divides b, therefore b=ak, k is any i...

Q: Use cramer's rule to solve this simultaneous equation a){4x-3y=2} {3x+y=-1}

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Q: i. log2(x – 2) – log2(x + 2)² + log2(x² + 10x + 16) 5x log4() – 32 logs vã + eln4x ii.

A: i) log2x-2-log2x+22+log2x2+10x+16=log2x-2+log2x2+10x+16-log2x+22 Using property logA+logB=logA×B...

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs ...

A: Given that: y2+z2=1, x=0

Q: Question 5 The sine Fourier series of the function 1- cos (zr)+ cos (2zr)- cos (3zz) for the period ...

A: Age here if we put -x in function then it will come same function it means it is the even function...

Q: Use one or more of the six sum and difference identities to write the expression as the sine, cosine...

A: Given:tanπ5-tanπ301+tanπ5tanπ30Trigonometry formula:tanA-B=tanA-tanB1+tanA tanB

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x3 – 6x². ...

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Q: y 4 -4 -2 -2

A: Given graph of ellipse is Standard equation of ellipse is (x-h)2a2+(y-k)2b2=1 Where a is the lengt...

Q: Simplify the given expression or perform the indicated operation. (2/7)0- 32-2/5

A: 270-32-25

Q: Please solve the absolute extrema on [-3,3]

A: Given: The function hx=ex2-9 To find: Absolute extrema of function on -3,3

Q: What are the zeros of a polynomial function and how are they found?

A: Let f(x)=anxn+an-1xn-1+⋯+a3x3+a2x2+a1x+a0 be a polynomial of degree n. A root or a zero of a polyno...

Q: Solve it now 1) Regula-Falsi method

A: First, plot the curve for f(x). Use the graph to find a real zero as mentioned in the question. Fro...

Q: A projectile is fired with an initial speedof 500 m / sec at an angle of elevation of 45. When and h...

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Q: Determine whether the given statement is true or false. If the statement is false, make the necessar...

A: Two functions fx and gx are said to be identical, if Their domain is the same Their range is the s...

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equat...

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: Use reduction formulas to evaluate the integrals ∫ 2 sec3 πx dx

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

Q: Question Based on the degree of the polynomial f(x) given below, what is the maximum number of turni...

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Q: A water storage tank has the shape of a cylinder with diameter 22 ft. It is mounted so that the circ...

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Q: Use the Chain Rule to find dz/dt or dw/dt

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Q: Find the exact value of the expression 91/ln 3

A: Given: Consider S=91/ln 3

Q: 57 to Cartesian coordinates. 6 Convert the polar coordinate (7, Enter exact values. X = %3D

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Q: For the indefinite integral V14+ x*dx, a good choice for a u-substitution is u = du = After making t...

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Q: Suppose T varies directly as the (3)/(2) power of x. When the x = 4, T = 20. Find T when x=16.T = __...

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Q: Find all real solutions of the following. Check your results.(x^(3)-16x)/(x^(2)+3)=0Select the corre...

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Q: Find all the real zeros of the polynomial. Use the quadratic formula if necessary. P(x) = 4x3 + 6x2...

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Q: Equations are given whose graphs enclose a region. Find the area of the region. (Give an exact answe...

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Q: 1) Determine the open intervals on which the graph is concave upward or concave downward. (Enter you...

A: Given that: f(x) = -x3 +9x2-5x-9 To find: The open interval on which the graph is concave upward and...

Q: dy 6. Find dx , (3xy + 7)² = 6y %3D

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...

A: To find local maximum, local minimum and saddle point First find the critical points by finding par...

Q: Please show all steps

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Q: Rewrite the equation 2x + 3y - 18 = 0 in slope-intercept form.Give the slope and y-intercept. Use th...

A: The given equation is 2x+3y-18=0

Q: You have 120 feet of fencing to enclose a rectangular region. Find the dimensions of the rectangle t...

A: Given that: We have 120 feet of fencing to enclose a rectangular region. To find: The dimensions of ...

Q: Given f(x) = 2/(x - 1) and g(x) = 3/x, find the domain of f ∘ g.

A: Given that: f(x) = 2x-1 , and g(x) = 3x To find: Domain of f∘ g

Q: The population P of a small town grows according to the function P1t2= 100 e t>50, where t is the...

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

Q: Evaluate the definite integral using an appropriate u-substitution. cos(x²) dæ 4.87424

A: To Determine: evaluate the definite integral using an appropriate u-substitution Given: we a have ∫0...

Q: 12 3. Evaluate lim m-3 т-4 m m4

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