I, 7y? da, D is the triangular region with vertices (0, 1), (1, 2), (4, 1)

Q: If f(1) = 12 and f '(x) ≥ 1 for 1 ≤ x ≤ 6, how small can f(6) possibly be?

A: The Mean Value theorem says, If a function is continuous on some closed interval [a,b] and different...

Q: The daily cost C (in dollars) for a manufacturer to produce x electronic video components is given b...

A: We will use given expression to find the solution. 

Q: Answer the question below: The student should identify the cartesian equation of a given plane that ...

A: Let's find. 

Q: ranger in tower A spots a fire at a direction of 315°. A ranger in tower​ B, located 40 mi at a dire...

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Q: Use vectors to find the lengths of the diagonals of the parallelograr that has i +j and i – 18j as a...

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Q: sinx (b) у %3D V1+cosx

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Q: (a) Select inflection points if the graph shows f (x). (b) Select inflection points if the graph sho...

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Q: state if these are true or false

A: True. 

Q: Given Cost and Revenue functions C(q) = q° - 9q +51q + 5000 and R(q) = - 3q + 2600q, what is the min...

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Q: Evaluate the integral by reversing the order of integration. 16 2 dy dx Jo y3 + 1

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 18j as ...

A: topic- vectors

Q: Find the radius of convergence, R, of the series. 5n – 1 n = 1 R = Find the interval, I, of converge...

A: The radius of convergence is R = 1 and, The interval of convergence is (-1, 1)

Q: ven cost and price (demand) functions C(q) = 110 - should be $ Round answer to nearest cent.) per it...

A: Given:  Cost and price demand functions are given byCq=110q+42000 pq=-2q+880 To Find:  To determine ...

Q: In each part below, use the information about the function to answer the questions. Note-See the exa...

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Q: Find the Maclaurin series for f(x). f(x) = sin- 3

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Q: The function f(x) = 4x + 3 is one-to-one. Find an equation for f" '(x). the inverse function. (Type ...

A: Given the function f(x)=4x+3 is one-to-one.Our Aim is to find an equation for f-1 (x), the inverse f...

Q: Find the general solution or particular solution of each of the foll 1. 2y(x+y+2)dx + (y²–x²– 4x – 1...

A:

Q: dy Consider the differential equation dx (2y–3)² with a particular solution y = f(x) having an initi...

A: Given

Q: . Differentiate. a) M(u) = (1- 4u²)(u+2)

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Concept: As we know that unit vector is in the direction of main vector with unity Magnitude.

Q: Find a formula for the general term an of the sequence 5 3 4 16 25 where a1 3 16 1* 36 49 , •.. an

A: The given sequence,      -316, 425,-536,649,.......

Q: Find the area of the triangle with vertices P(1,5, –6), Q(0, 0,0) and R(2,4, 1). NOTE: Enter the exa...

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Q: B) For the equation below find if the point (2, 3) is on the curve and find the equation of the tang...

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Q: Use the eigenvalue-eigenvector method to solve the initial value problem (2 -7 0\ X = (5 10 4 x, X(0...

A: Given

Q: Given cost and price (demand) functions C(q) = 120q + 44,000 and p(q) = - 2.1q + 880, What price sho...

A: To find the maximum profit.

Q: Find the absolute extreme values of the function on the interval. 14) f(x) = ex - x, -1 sxs 2 %3D

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Q: Determine the derivative of g ( x ) = 3 e-4 x*sin(7 x) with respect to x. = (x), 6

A: As per the guidelines, we need to author the 1st question.  We know that product rule is given by  d...

Q: Find the exact length of the curve. x = (y^4)/8 + 1/(4y^2) , 1 ≤ y ≤ 2

A: In this question we have to find the length of the curve.

Q: dentify the length of the curve 9y2 = 4x² from x = 0 to x = 3. %3D

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Q: Write an equation of the line through the point perpendicular to the given line. Step 1 Two distinct...

A: The given line x+y=4

Q: Q1- Solve the linear system using Inverse matrix method 5x1 + 4x2 = 13 2x1 - 3x2 = -4

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Q: Let the region R be the area enclosed by the function f (x) = 2/x, the x-axis and = 5. Find the volu...

A: Find your answer below 

Q: $12 per foot (re

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Q: The graph of y = f(z) is shown. -2 Determine the sign of the following limits, if they exist. f(3 + ...

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Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = Vx + V3-x

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Q: You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the fo...

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Q: The integral expression: ecos 20 de can be evaluated by parts of the form: u The product uv is: 402+...

A: solution is given below..

Q: Evaluate: Jx?cos(2x)dx 2x?sin(2x) + 2xcos(2x) – sin(2x) + C A 4 2x2sin(2x) + 2xcos(2x)+ sin(2x) (B +...

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Q: Q1- Solve the linear system using Inverse matrix method 5x1 + 4x2 = 13 2x1 - 3x2 = -4

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Q: h(x) = tan(x' sinx) sinx (b) y= - V1+ cosx

A: Topic = Derivative

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

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Q: sinx (a) h(x) = tan(x² sin.x) (b) y= V1+cos.x

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Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s)....

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Q: Find grad f, plot some level curves f = constant and indicate grad f by arrows at some points on the...

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

A: Given that v=4,-1,7  ,b=6,6,-7Solution : The vector component of v along b=v→cosθb^    θ= angle betw...

Q: Find the derivative of the function. x3 4) y =-1 %3D X- 1

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Q: The graph below is the function f(2) 6- 4. 2. 6 -7 -6 -3 -4 -5 -6- -7. lim f(x) : %3D Enter the limi...

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Q: Find all possible functions with the given derivative. 7) y' = 5x2 + 1 %3D

A: solution = y' = 5x2 + 1  y' = dy/dx dy/dx = 5x2 + 1 ∫dy = ∫(5x2 + 1 ) dx + c  [ yn dy = yn+1 ] y =5x...

Q: For what value of x does f(x) take on a minimum if F(x) = /3 x² -2 x + 4 13 What is the minimum valu...

A:

Q: The graph of y= f(x) (solid) and y = g(x) (dashed) is shown 6+ 4- -6 -5 -4 -3 -2 -1 5 -2- -3- -4 -5 ...

A: topic - limits