5. DETAILS LARAPCALC10 2.3.028. Find the marginal profit for producing x units. (The profit is measured in dollars.) P = -0.65x2 + 4,000x - 1,050,000 %3D dP dollars per unit dx

Q: 1.) Find dy/dx. Given: x2 +y? = 25 2.) Find dy/dx. Given: x? + y = x³ +y? 3.) Find dy/dx. Given: x +...

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Q: 7. SV103% dx

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Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

A: Given ∫1xx6+1 dx Substitute u =  x6 + 1→dudx=3x5x6+1→dx=x6+13x5 du =13∫1u2-1 du Now solving ∫1u2-1 d...

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A: Given: I=∫sin3tcos3t-1dt   ....(1)   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where ai...

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Q: Given the function f(x) = x* – 24x², determine all intervals on which f is both decreasing and conca...

A: In this question we have to determine all intervals on which f is both decreasing and concave down.

Q: b.2 cos2 3x + sin3x = 1 %3D

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Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 400e -x2 - 5y2 - 722 where T is measur...

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Q: Find the first and second derivatives of the function. f(x) = (x2 + 6)5 f'(x) %3D f"(x)

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Q: Question 12 Find the linear approximation of the function f (x, y) = 2x – y + a²y - near the point (...

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Q: Find the derivative of the function. f(t) = = 3(t7 - 2)5 Step 1 Recall that the derivative of a cons...

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Q: et dx (9 + e2¤)

A: Integration   by subsitution technique 

Q: | cot?xcsc?x dx х ах

A: We can find the integral answer as below.

Q: 12. DETAILS LARAPCALC10 2.5.036. Find an equation of the tangent line to the graph of f at the point...

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Q: 15. a, = (-1)" 3n-

A: since we are given with multiple number of questions and our guideline is solve the first question o...

Q: The function f is shown below. What is the value of | f(x) dx? Write your -4 answer in simplest form...

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Q: A discrete random variable X has the following probability distribution: 3 4. 1 2 P(X) y 9 1. Find y...

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Q: Find the general term of the sequence, starting with n = Determine whether the sequence converges, a...

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Q: х+1 dx 3 2 2 25 - x

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Q: Expand (2+V-9) А. 46+9i В. 46-9i С. -46-9i C. D. -46+9i

A: Option (D) correct. For detail go through the solution

Q: [5] 0 v2 = 9 v1 2 V3 4 -81

A: The given vectors are ; v1=5 , v2=7 , v3=9       0.       2.         4       0.        -6.       -8.

Q: Vx dx 1+ Vx

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Q: e3x (1 – 2e3x)2

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Q: The accompanying table shows the velocity of a model train engine moving along a track for 10 second...

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Q: 1. dx てナメてナて

A: We have to evaluate the integral

Q: The function f, shown below, is comprised of a semi-circle and piecewise linear segments. What is th...

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Q: Compute the discriminant D(x, y) of the function. S(x, y) = x' + y* – 6x – 2y + 1

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Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a =...

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Q: Let R be the region bounded by the following curve. Use the shell method to find the volume of the s...

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Q: The Ideal gas law is given by the equation: pV = nRT where p = pressure, V = volume, n = number of m...

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Q: Using the fomat of dy/dx below, find (A +B+C+ D). dy 40t? + At +B dx -Ct? + Dt + 3 ||

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Q: Evaluate using substitution techniques

A: Given

Q: following

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Q: Find the equation of the tangent line to the graph of f(x) = 3x²e*-1 – 1, at ¤ = 1.

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Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

A: Put 8x=15tanw =[12×(15/8)³tan³w]/[5×15√1+tan²w] =(79.10/75)×(sin³w/cos³w)/[sec²w] =1.05sin³w/cos²w

Q: 3 (x³-4x)dx

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Q: Given: sing = - e is a third quadrant angle, and tand = - is a second-quadrant angle; find cos(e+ d ...

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Q: 13. The cost of a data plan is $45 a month, plus $0.40 per gigabyte of data downloaded. Let f(x) be ...

A: Given: $45=fixed Cost of data plan$0.40=variable cost of data per gigabyte or gb$2=fixed part of con...

Q: The function f is shown below. What is the value of f(x) dx? Write your answer in simplest form. Gra...

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Q: 2dt (t – 3)vt² – 6t +5

A: Given: I=∫2dtt-3t2-6t+5   ...1   As we know that; ∫11+x2dx=tan-1x+C    

Q: B. Odr + (2r +1- Or) d0 = 0

A: θdr+(2r+1-θr)dθ=0drdθ=θr-2r-1θdrdθ=r-2rθ-1θdrdθ=r(1-2θ)-1θdrdθ-r(1-2θ)=-1θdrdθ+(2θ-1)r=-1θ It is a l...

Q: The instructions for the given integral have two parts, one for the trapezoidal rule and one for Sim...

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Q: Use cylindrical shells to find the volume V of the solid. A sphere of radius r V = %3D

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Q: dt 4e-t – et

A: I =∫dt4e-t - etI =∫et dt4 - e2 tet = uet dt = duI = ∫ du4 - u2

Q: What trigonometric substitution will you use in solving the below integral? Note: Let W be the angle...

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Q: 1.) f(x) = 1- 2x at a point where x = -3 2.) f(x)= 5x + 12x? - 7x at a point where x = 1 3.) f(x) = ...

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Q: Find the critical points c that correspond to local minima. (Use symbolic notation and fractions whe...

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Q: DETAILS LARAPCALC10 2.6.008.EP. Consider the following. 8. g(t) = %3D Find the first derivative of t...

A: Derivatives

Q: Growth of Managed Srvices Almost half of companies let other firms manage some of their Web operatio...

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Q: For the next five questions, consider the following differential equation: (y? + xy) dx + (5y² – xy ...

A: According to Bartleby guidelines I can only answer the first three sub-questions of the given proble...