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Q: Fill in the blank/s : We can rationalize the numerator of [√(x + 7) - √x] / 7 by multiplying the num...

A: To rationalize the numerator of x+7-x7

Q: 9. sin75°cos15° + sini5°cos75°

A: As you have not mention which question to solve and we are allowed to solve one doubt in a session, ...

Q: Which of the following functions grow faster than x2 as x→ ∞?Which grow at the same rate as x2? Whic...

A: Let, fx=x2gx=1.1x Now, If limx→∞f(x)g(x)=1 →both function are growing with the same ratelimx→∞f(...

Q: Given f(x) = ax + In(cos(x)). Find the value(s) of a that make the statement f' 8 true: a =

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Q: Show that the curve y = 7e* + 3x + 2x³ has no tangent line with slope 2.

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Q: differentiate y = sin^3(tet^2) and simplify

A: The given function is y=sin3tet2We have to differentiate with respect to t ddt(y)=ddtsin...

Q: #82

A: Given: The position function for a particle is given by:s=1t2+2t+1s: height in feett: timein seconds...

Q: Express the given product as a sum containing only sines or cosines. sin (60) cos (40)

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Q: The volume of a cube is increasing atthe rate of 1200 cm3/min at the instant its edges are 20 cm lon...

A: Given : The volume of a cube is increasing at rate of 1200 cm3/min. To find: The rate at which lengt...

Q: Evaluate the integrals in ∫ln x dx/x√(ln2 x + 1)

A: Consider the following integral: ∫lnxxln2x+1dx=I Substitute ln2x+1=u→2lnxxdx=du in the above integra...

Q: P1L1,L2 x=0 aanay=7.93407 The graph indicates that the initial voltage was Vo - 7.93407 volts. Other...

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Q: The first part of a is right but I keep getting the second part of a wrong. Also need help with part...

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Q: I f(x, y, 2) dV for the function f and region W specified. 10. f(x, y, z) = e*+y+z; W:0 < z < 1, 0< ...

A: Plot the given region in a xy plane, The limits for x, y, and z are, x=0 to 1y=0 to xz=0 to 1

Q: Calculate the derivative of the following: y = Vx + 4

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Q: Divide using long division. State the quotient, q(x), and the remainder, r(x) : (3x2 - 2x + 5)/(x - ...

A: Given expression is 3x2-2x+5x-3.

Q: By about how much will ƒ(x, y, z) = ln√(x2 + y2 + z2) change if the point P(x, y, z) moves from P0(3...

A: The given function is, fx,y,z=lnx2+y2+z2 distance ds=0.1 unit in the direction of 3i+6j-2k

Q: Use transformations of f(x) = 1/x or f(x) = 1/x2 to graph the rational function: g(x) =1/(x + 2)2

A: To determine: Graph of g(x)=1x+22 using graph of f(x)=1x or f(x)=1x2

Q: Problem: Apply the big-M method for the following LP. min 324x, + 358x2 + 177.5x3 + 148x4 + 182x5 + ...

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Q: Find the values of x for which the series converges.

A: Given information: ∑n=0∞x-35n The series is converges

Q: Solve the system 3x + 4y = -5, 2x - 3y = 8 by the method of your choice.

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Q: Evaluate the integral, if it exists.

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Q: Simplify all the way.

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Q: Graph the ellipse x2/25 + y2/16 = 1 and locate the foci.

A: Consider the following equation: x225+y216=1 Compare above equation with standard equation of ellips...

Q: 3x + 1 The equation of the line tangent to f(x): at x = - 2 is x + 1 y = 2x +* %3D

A: To find the y coordinate , one have to plug the given value of x in the function y=f(-2)=3(-2)+1-2+1...

Q: Please help me with this question. Thank you!

A: Since you have asked multiple questions in single request so we will be answering only first quest...

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the s...

A: Width of rectangle = x ft Diameter of circle = x Radius = x/2 Circumference of semi-circle = π×r=πx...

Q: Find the truth value of the statement. You must show how you arrived at your answer. Four is a natur...

A: To find the truth value of the statement. Four is a natural number or today is Wednesday.

Q: If g(t) = 3t + 2t, find all t for which g'(t) = 0. %3D t = Preview

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Q: Evaluate the series or state that it diverges. 3k Σ k=2

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Q: Show that the points (−1, 0), (3, 0), (1, 2), and (1, −2) are vertices of a square.

A: Let us consider A(-1,0) , B(3,0), C(1,2) and D(1,-2) To verify ABCD as a square We need to verify if...

Q: 1-tan x 1+ tan x sec x-CsC X a. sin x + cos x sin x COS X b. sin x +cosX sin x + cos X C. sin x- cos...

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Q: At 2:00 p.m. a car's speedometer reads 30 mi/h. At 2:20 p.m. it reads 50 mi/h. Show that at some tim...

A: let the initial velocity of a car is v1=30 mi/h( at 2:00 pm)the final velocity of car is vf=50 mi/h ...

Q: #42

A: The number of children's enrolled E(in thousands) is given by, E(t)=21892-2812.9t1-0.2759t. Where t ...

Q: tions in Problems 1–11. Describe the kernel. 1. T:R? → R², T(x. у) %3 (-х, у) 2. Т:R) - R?, T(x, y, ...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: A particle moves along the curve *= 21² , y = t² – 4t and = = 31 – 5 where t is the time . Find the ...

A: Given: Position vector is given as, r→=2t2i^+(t2-4t)j^+(3t-5)k^ The objective is to find the velocit...

Q: Use the five-step strategy for solving word problems: An architect is allowed 15 square yards of fl...

A: Let the length of the rectangular floor be L=x . Now, The width of the rectangular floor must be 7 y...