Which of the following is equal to In 4 ? 4 offen O et dt 1 O ln 3 + ln 1 dt of - In 8 In 2 t

Q: Get a similar question = y = 5√x. and the change in y, Ay when x = 2 and Ax = 0.2 nd the…

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Q: Correlational designs have one independent variable and one dependent variable  true or false?

A: Explanation:-  A  dependent variable is the variable to be explained and independent variables are…

Q: An electron is placed in electric of intensity 10^4 Newton per Coulomb. The electric force working…

A: Given : E = 104 Newton per Coulomb Force F is given as  F = qE

Q: Calculate the direction of P1P2 and the midpoint of line segment P1P2. P 1(3, 4, 6) and P 2(6, 0, 1)…

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Q: 15. A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

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Q: Find the Volume: Rotate the region bounded by y = 7 - x², x = -2 and x = 2 and the x-axis about the…

A: Volume of the solid of Revolution :  Suppose y=f(x) is a continuous non-negative function on the…

Q: 9. A bacterial culture starts with 4000 bacteria. After 12 hours the estimated count is 36000 a)…

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Q: Use the Chain Rule to find the indicated partial derivatives. P = √u2 + v2 + w², u = xey, v = yex, w…

A: Solution: P=u2+v2+w2   ............(1)Plug the value of u,v & wP =xey2+yex2+exy2

Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny ["C ex+y dxdy

A: Given double integral ∫1ln8∫0lny ex+y dx dy

Q: A manufacturer has modeled its yearly production function P (the monetary value of its entire…

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Q: 4. A solid consists of a right-circular cylinder and a hemisphere on each end. The length of the…

A: where r= radius and h= heightVolume of a right circular cylinder cylinder is πr2h. Volume of a…

Q: Find the cross product u x 7 where u úxv- 71 +5j +k and 7 (5,- 4,7).

A: This question can be solved using the concept of cross product of vectors.

Q: Solve the integral shown below. So cos¹¹ 3xdx Só 11

A: ∫0π6cos113xdxLet u=3x.=∫0π2cos11u13du=13·∫0π2cos11udu=13·∫0π21-sin2u5cosuduLet…

Q: 1. dx/(x - 1)³ 2. (1-x²)² dx 3. f (x² - 1) x dx

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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where d2Rdx2=0

Q: dx 4-9x²

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Q: Determine the area of the region bounded by the curves y = ₁, y = 2x and x = 4

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: 46. The region between the curve y = sec ¹x and the x-axis from x = 1 to x = 2 (shown here) is…

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Q: A rectangular field is to be enclosed with a fence. The available fencing material is 150 meters…

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Q: Suppose f(x) = 3x² + x - 3x²+x-6. Compute the following: A.) ƒ( − 4) + ƒ(1) = = B.) f(-4)-f(1) =

A: Given f(x)=3x2+x-6f(-4)=3(-4)2+(-4)-6=3(16)-4-6=48-10∴f(-4)=38

Q: Find a power series representation for the function x f(x)= 9+x² and determine the radius of…

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Q: How do i figure out whether this function is continuous or not (proving it) without given at which…

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Q: 7. A certain ellipse is centered at (0, 0) from which the major axis always equal to 16 and the…

A: Concept: As the standard form of the ellipse is x2a2+y2b2=1  ; (a>b) Whose center at (0, 0) Major…

Q: A Л The path r(t) = (4 sin t) i + (4 cos t) ] describes motion on the circle x² + y2 = 16. Find the…

A: The path r(t)=4 sin ti+4 cos tj

Q: A wall lamp is positioned 7ft up a wall. A 6ft tall woman walks directly towards the light at a…

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Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

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Q: Determine the area to the left of x = 3- y² and to the right of x = -1

A: See the details solution in below

Q: (e) If f and g are differentiable then, d 1 f(g(x)) = f'(g(x))g'(x) dx True False

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Q: f(x csc² 2x - x cos 2x)dx

A: Here we to integrate the given integral

Q: A company produces very unusual CD's for which the variable cost is $ 16 per CD and the fixed costs…

A: Let's solve for cost,revenue and profit function.

Q: (2x²9x9)dx x3 x³ - 9x

A: Here we have to do partial fraction and after that integration

Q: . Consider the signal f(t) 0, -1 ≤ t < 0; 1-t, 0≤t≤ 1. This signal is periodic with period 2. (a)…

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Q: Hả+b+c = 0, show that ả x b = b xả = xã

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Q: 12. Setan 2x sec² 2x dx

A: As per guidelines we can solve only one questions at a time, so if you need more answers kindly…

Q: Evaluate the following integral using trigonometric substitution. 7 S √√36x² - 49 x3 dx, x> √36x² -…

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Q: √√3 L dx 1+x²

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Q: A coulomb is the same as; * O Ampere.second Ο Ο Ο Ο Ampere.second^2 Ampere/second Ampere/second^2

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Q: Find the point at which the line x(t) y(t) z(t) - 5+ 5t -6-8t intersects the z plane. - 7+8t

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Q: Find all the second partial derivatives. f(x, y) = sin²(mx + ny)

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Q: Which of the following describes a function? 1. y=x² +1 x=y² +1 1 I only Oll only I and II Neither I…

A: We have to tell about which is showing a function

Q: A particle moves along a straight line such that its displacement at any time (t) is given by…

A: Note: There is a typo in the question.  Incorrect:  S = t^3 - 6t^3 + 3t +4   Correct:  S = t^3 -…

Q: f(x csc² 6x-x cos 6x)dx

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Q: dx √3 1 + x²

A: we use the  formula ∫dx1+x2 = tan-1 x    +C

Q: Determine if the improper integral •+∞ dx x ln7 x is convergent or divergent.

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Q: Determine an equation for normal to the curve y = at x = x = -2.

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Q: dh dt k √h(t) ||| h(0) = 2 2 ● T.V

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Q: f(x csc² 4x - x cos 4x)dx

A: The answer is given below:

Q: 2. Brine containing 3 lb/gal of salt enters a large tank at the rate of 2 gal/min and the mixture…

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Q: The angle between the vectors [√2 – 1, √2 + 1, √2] and [1, 1, 1] is: 45° 60° 90° 30°

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Q: log7 X y =(√x) ¹087

A: