Vide d dx Hint for Exercise 36: F(x) = A(x4) – A(x²).

Q: Consider the function f(x) = 2x – 6x on the interval [ - 3, 3]. Find the average or mean slope of th...

A: The average slope of the function on [-3, 3] will be: f3-f-33--3=233-63-2-33-6-36=36+366=12 Therefor...

Q: The cost function for producing x items is C(x) =30,000 + 150x - 0.10x2 The revenue function is R(x)...

A: We find R'(x) using the power rule R(x) = 800x - 0.6x2 R'(x)=800(1)-0.6(2x) R'(x)=800-1.2x  

Q: Find the value of s in the interval 0, that satisfies the given statement. sin s-0.8341 radians (Rou...

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Q: sin x dx 7+ cos x 2

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Q: You are given the graph of a function. Determine the relative maxima and relative minima, if any. (I...

A: Given  Solve for  Relative minima (smaller x value) (x,y) Relative minima(larger x value) (x,y) rel...

Q: Consider z = Ax + By + D be the tangent plane to f (x, y) = 5x² + 10y³ + 6xy + 8x + 7y at (-0, 4). W...

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Q: The graph of P = g(t) is shown below. (a) range of g. State the domain and 5 -4 Domain: 12 Range: (b...

A: a) Domain is the possible values of x. The range is the possible values of y. Domain of g = [-2,4] R...

Q: A sand storage tank used by the highway department for winter storms is leaking. As the sand leaks o...

A: Given conical pile Radius = r = 6 in. Height of pile = h h = 2r drdt=0.75 in/min    

Q: Find the derivative of the function. g(x)=4x(3x+2)^5

A: Given:  g(x)=4x(3x+2)^5

Q: Please help me with this problem with steps to solve.  Thank you!

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Q: What is the double integral of 15x^2 dx dy with 0<=y<=30.81 and (y/6)-2<=x<=y^(1/3)?

A: Given, ∫030.81∫y13y6-215x2 dxdy

Q: A curve is defined by the equation xy - 6+x?y = 0. (a) Verify that the curve passes through the poin...

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

A: Given polynomial function f(x)= 2x²-4x+3 Which is continuous and differentiable on [-1,3]

Q: use the limit defmition of partial derivative to compute the partial derivatives of the functions at...

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Q: If r(t) = < 1 - 4t2, sin (3t), cos (3t) >, then it is perpendicular to its derivative. Determi...

A: The given statement is false 

Q: dx X Cinx)3 Con Or Div

A: Given improper integral is ∫4∞1x(lnx)3dx If we find the value of improper integral is finite then we...

Q: Q6) If the point A, B, C are .collinear then AB.BC = 0 F

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Q: The probability that a randomly chosen citizen-entity of Cygnus is of pension age† is approximately ...

A: Given that probability that a randomly chosen citizen-entity of Cygnus is of pension age† is approxi...

Q: Q1) If a vector gets multiplied by a positive number, its direction * .will be reversed

A: Given statement : If the vector gets multiplied by a positive number, it's direction will be reserve...

Q: Find the second derivative and 0,8

A: Obtain the first derivative as shown below: f'x=ddxx210+x      =10+xddxx2-x2ddx10+x10+x2      =10+x2...

Q: Discuss Continuity x² + y2 g(x, y) x²- 3x + 2

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Q: Can you help me find the answers to questions (A) through (F) in the photos?  ^ use the equation in ...

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts. Plea...

Q: Can you help me figure out what interval of the function in the picture attached are both decreasing...

A: fx=x4-4x3 Differentiating with respect to x, we get f/x=4x3-43x2    ∵dxndx=n·xn-1=4x3-12x2 Again dif...

Q: Suppose P(x) represents the profit on the sale of x Blu-ray discs. If P(1,000) = 8,000 and P'(1,000)...

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Q: What are the first 5 terms of this sequence of partial sums?

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Q: An electric cable is hung between two towers that are 40 meters apart (see figure). The cable takes ...

A: Given information:  An electric cable is hung between two towers 40 meters apart. y=10ex/20+e-x/20, ...

Q: Question Determine q' (7) to the nearest tenth when q(x) = 8e² In(x). Provide your answer below:

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Q: Use the graph to find the oblique asymptote, if any, of the function.

A: The graph is as shown below :

Q: True or false?

A: The given statement is

Q: dy 2) Find implicitly: dx (a) xy+3x2 =y? (b) exy – Iny =x? %3D

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Q: Write an equation describing the relationship of the given variables.   y varies directly as the fou...

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Q: If q(æ) 4e find q' (4). Evaluate q' (4) and round to the nearest tenth. In (x)'

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Q: Calculus Question

A: Concave upwards   0,2∪4,6∪7,9 Concave downwards   2,4∪6,7

Q: If r and u are differentiable vector-valued functions of t, then r(t) - u(t)) = r'(t) - u'(t). O Tru...

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Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30°, wi...

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Q: can you help me find the answers to the questions in the picture attached?

A: Equate f(x)=x35(x-9) to 0 to find the critical points. f(x)=x35(x-9)0=x35(x-9)0=(x-9)x5x=0x=9

Q: A street light is at the top of a 20 along a straight path. How fast is 6.667 Prev

A: In the given figure,   Here, x is the distance from the man to the pole , y is the distance rom the...

Q: Find the exact location of all the relative and absolute extrema of the function: f(x) = 5x^3 − 60x ...

A: Given function f(x) Differentiate the function and make it equal to zero for critical points

Q: Find an equation for the surface obtained by rotating the curve  y = sqrt(x) about the x-axis. Ident...

A: Given, y=f(x)=x

Q: Use the given information to find the unknown value.   y varies inversely with the cube of x. When x...

A: It is given that, y varies inversely with the cube of x

Q: The average price of a two-bedroom apartment in the uptown area of a prominent American city during ...

A: We plug t=8 in p(t) p(t)=0.15e0.10tp(8)=0.15e0.10(8)p(8)=0.333831139274p(8)=0.33Answer(a): p(8)=0.33

Q: evalvate the integral 5x°cosxdx

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Q: number 8 please

A: We first find the limit of an limn→∞(an)=limn→∞n+1ln(6n)=limn→∞116n(6) , [L'Hopital's rule]=limn→∞(n...

Q: Find all first partial derivatives. z = In(x? + y? + 7) az ax az ay

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