Graph the system of inequalities. Rewrite each inequality into y=mx+b form 4x+ 3y>-6 I-3y<-9

Q: (2+3i '8+i Evaluate the expression Express the answer 1+2i) rectangular form.

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Q: Compute the derivative of the following function. f(x) = 11 e 4x f (x) =

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Q: Vaix+ Vqx dx

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Q: Find the critical numbers of the function f(x) = x – 12x2.

A: This is a problem related to derivative of the function. Based on the general formula we will calcul...

Q: dy Find for the following function. dx y = 9 cos x sin x %3D dx II

A: Given y = 9 cosx sinx  Find dy / dx = ?   

Q: Find the distance between the point and the plane. (Round your answer to three decimal places. (3, 2...

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Q: Write the following in the "if" and "then" form 1. Eighteen-year-olds are eligible to drive. 2. A r...

A: If and then statement

Q: Evaluate the given integrals. 5. J(1 – cos 0) csc²0 d0

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Q: 8. Given the function f(x)%=2x3 -5x3 , find the point where the tangent is horizontal to the curve.

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Q: Use the guidelines of this section to sketch the curve. х — 5 f(x) x2

A: f(x)=x-5x2Plotting on graph on corrdinate axes

Q: S cos ædx from a = 0 to b = %3D %3D 3.

A: Substitution is done.

Q: Determine the equation of the plane that contains the lines Li and L2. L: x = 3- t, L2: x = 8 +2 s, ...

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Q: what is the maximum of the function g(x,y) = (x2 + y - 11)2 + (x + y2 - 7)2 over the region 0 ≤ x ≤ ...

A: The given function gx, y=x2+y-112+x+y2-72 over the region 0≤x≤5 and 0≤y≤5. The required partial deri...

Q: An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is pulled ...

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Q: 1. lim 3 2. lim 57 3. lim log r

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Q: Recycling Programs The commissioner of a particular city's recycling program assesses that the amoun...

A: for 2008 here t = 8 so put t = 8 in equation N(t) = (200,000)/(2.5 + 3e-0.5t) N(8) = (200,000)/(2.5 ...

Q: 4dx + (x – y+ 2)²dy = 0

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Q: Assume the derivatives of f and g exist. How do you find the derivative of the sum of two functions,...

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Q: Calculate sin r e at a 10 to get 15 correct significant digits. What is the 14th digit? Answer:

A: Given expression is: sinx-x We have to calculate it at x=10-6.

Q: Obtain the solution to the following differential equations: 1. y'+3y=e", y(0)=4

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: Find the indefinite integral. (Remember the constant of integration.) dx xº - 8

A: Given query is to find the value of the integral.

Q: Find the solution of the initial value problem Please fill in a question quickly within a quarter of...

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Q: Recall y" Second Derivafive Analy'sis goals O track intervals of positive $ = -6x(x²_ax+4) (xta)? (x...

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Q: Use the laws of logarithms to expand and simplify the expression.

A: Simplification

Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limi...

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Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per second...

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Q: conditions for each equation: d²x 2 dx (a) + x = 1 dt F(0) = F'(0) = 0 %3D %3D dt2

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Q: 25: Solve the following differential equation, od aace x(T/2) = 3 1 dx sco e de x2 csc 8

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Q: Sketch the region R whose area is given by the iterated integral. *16 – y² dx dy 14 12 10- y 8. 4 2-...

A: Solve by using graph

Q: 1) Parameterize the line segment running from (1, 2) to (3, 5).

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Q: Consider the parallelepiped with adjacent edges u = 4i + 3j + k v = i+j+ 4k w = i+ 9j+ 2k Find the v...

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Q: Sketch the graph of a function that satisfies all of the given conditions. (a) f'(x) < 0 and f"(x) <...

A: Given problem:- To select graph  with conditions  f'(x) &lt; 0 and F"(x) &lt; 0 for all x f''(x)&gt...

Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an ...

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Q: Find the vector equation of the line that passes through (1,0,-3) and it's parallel to v=2i - 4j + 5...

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Q: J Arctan(x)dx xArctan(x) -In(1 + x²) + c

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Q: (2y – 3x)dx +xdy = 0 %3D

A: Find your answer below 

Q: 9. In(2x + 1) dx

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Express the function f(x) = g(x)^x) in terms of the natural logarithmic and natural exponential func...

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Q: Find the sum of the infinite geometric series. If an answer is undefined, write UNDEFINED. - 216/49...

A: To find the sum of the geometric series.

Q: y^2dx + (x^2 + 3xy + 4y^2)dy = 0; when x = 2 , y = 1

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Q: Let a = ci + jand b = 12i + 9j. Find c so that the angle between a and b is. Round your answers to f...

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Q: 2 y = 12 – 3x", y= 4 – x- — х |

A: Let's find. 

Q: Consider the function below. x2 f(x) : x2 - 25

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Q: olve the bessel equatio

A: answer of given question is in step 2

Q: y = cot-1(4-3x2)

A: y=cot-1(4-3x2)differentiate w.r.t.xwe know that,ddx(cot-1x)=-1x2+1Therefore,dydx=-14-3x22+1ddx4-3x2d...

Q: 1 S cos³ 3x sin' 3x dx

A: The given integral is: I=∫cos33xsin43xdx   ...1   We know that; The Power rule: ∫xndx=xn+1n+1+C

Q: 4. Find the solution of the following set of simultaneous equations by LT with initial conditions y(...

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Q: Find the vector component of v = (4, – 1,7) along b = (3, 6, –6) and the vector component of v ortho...

A: We can solve the given problem as follows:

Q: Evaluate the definite integral. dx

A: As per guidelines we can solve we can solve one question at a time so if you need more answers kindl...

Q: Find the derivative of the following function. P(x) = 6x p'(x)=D

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