Express the equation in exponential form (a) In 2 = x is equivalent to e4 = B. A= and B= (b) In x = 3 is equivalent to eC = D. C= and D=

Q: integral

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Q: For the constant numbers a and b, use the substitution z = a cos² u + b sin² u, for 0 <u<, to show…

A: This question can be solved using the concept of integration by substitution.

Q: The demand equation for the Roland portable hair dryer is given as follows where x (measured in…

A:

Q: Show that xzxx + yZxy = y²Zyy if z = xy + yln(xy)

A: Given, z=xy+y ln(xy)

Q: ← The table shows projections of sales (in billions of dollars) of hepatitis C treatments for a…

A: Given data:-   Year Sales 2012 4.3 2013 4.4 2014 6.5 2015 8.1 2016 9.8

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(4, 2, 4),…

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Q: . If x = t + cost, y = sint, find d²y dx²

A: we will find the required.

Q: MATH 12 Worksheet 2: Fundamental Theorem of Calculus 1. Definite Integrals and the Fundamental…

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Q: 4) For f(x) = { sin(27x) x>1/2 4 2x-1 x = 1/2 find lim f(x) X- x < 1/2 2

A: To find the limit of the given function.

Q: A cruise ship maintains a speed of 15 knots (nautical miles per hour) sailing from San Juan to…

A: Concept: Cosine rule: c=a2+b2-2abcosγ Sine rule: sinγc=sinθa

Q: y = C₁ e²x cos 3x + C₂e²x sin 3x

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Q: A. Find the second derivative of y=- (x+1)³ B. 4x x+1 (x+1)³ C. 8 (x+1)² D. (x+1)²

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 5) Which of the following products can be used to solve the systems of linear equations below? 3x -…

A: The given system of equation is: 3x-4=-zx+2z=5

Q: Solve the following inequality for : Express your answer using interval notation. z²+3x-40 <0…

A: x2+3x-40&lt;0

Q: Evaluate the integral. 5 1³w² w² In(w) dw

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Q: Find f'(a). f'(a) = f(t) = 8t + 44 t + 7

A: Given query is to find the derivative of the expression.

Q: 1 -dx Evaluate: J- 2 2 - 6x +8 +C |x-4 2 x-2 B. In|(x-4)(x-2) +C A. In 1, C. In x=2+C 2 X+4 D. In…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: 51-52 Find an equation of the tangent line to the curve at the given point. 51. y = e* cos x + sin…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Use the Intermediate value theorem to show that the given polynomial F(t)= 2t2 + 3 - 3t has a real…

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the regior…

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Q: Rewrite each of the following as a power function in the form kx", or state that it is not a power…

A: Given, 5x3;x3;72x

Q: Consider f(x)=5x-3-41/x^2 c) Find the equatino of the tangent line at x = 2 to the graph of y =…

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Q: Given s(t) = 3t² + 3t, where s(t) is in feet and t is in seconds, find each of the following. a)…

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Q: A. dne 3x5-4x²+1 X-00-7x³+x2+2 B. 0 Evaluate lim A. R The domain of y log(1-2x) is B. (-00, C., +00)…

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Q: lim f(x) = ∞o 8118 Which of the parent functions exhibit the end behavior shown to the left? (note:…

A: graph of y=x;   y=x^2;   y=x^3;   y=1/x;

Q: Find f'(a) at the given number a f(x) = (x2)/(x + 6), a = 3

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Q: Q₁ Find the angle between every two vectors below ( Vate b) f-3i+2k and g=4i+4j-2k

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Q: 8. y e²x dx = (4 + e²x) dy.

A: Need to find out the solution of the differential equation.

Q: The hypotenuse of a right triangle is twice as long as the shorter leg. x. Let y be the longer leg.…

A: Given x is the length lf the shorter leg, y is the length of the longer length. So, length of…

Q: Solve g) iv. using the lebiniz rule, differentiate the following functions with respect

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Q: = (1) cotr 1+csc.x

A: We will find the required.

Q: What volume of refrigerant should be recovered for disposal from an oldrefrigerator? The length of…

A: Consider a cylindrical pipe with diameter 14 inch and 15 feet of long. To calculate its volume.

Q: Find the solution of each of the following initial value problems. y(0) = 1 (a) y'-y = 2te²t, (b) y'…

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Q: Consider f(x) = 5x-3 - 41/x^2 c) Find the equation of the tangent line at x = 2 to the graph of y =…

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Q: Find all of the partial derivatives for each function: 1. f(x, y) = x¹ +6√-10 2. w=x²y-10y²z³ +43x −…

A: As per the guidelines I am supposed to do the first question among multiple questions. To get the…

Q: EXAMPLE 3 Suppose that a ball is dropped from the upper observation deck of a building, 350 m above…

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Q: 2. Solve the following system of equations dx dt dy dt = = -4x - 2y 5x + 2y (a.) Find the…

A: According to bartleby guidelines,  we are supposed to do only 3 subparts . If you want more to be…

Q: The unit tangent vector for the parametrized curver (t) = (8, cos 2t, 2 sin 2t) at 0 < t < 2n is

A: To find the unit tangent vector

Q: The root of e^x -2 is known to exist in (0,2). Find an approximate value of the root within a…

A: Given: fx = ex-2 The root exist  from 0,2. ------------------------------Aim: To find the root with…

Q: 1. 7. What is mos(+h)- cos(2), ? h (A)-1 (B) - √2 2 (C) 0 (D) 1 (E) The limit does not exist. 2 If…

A: 1 limh→0 (cos(π/2 +h) -cos(π/2))/h limh→0 sinh/h - 0 this is formula so answer  = 1 answer D is…

Q: The base of a solid is the region enclosed by a circle having a radius of 7 cm. Find the volume of…

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Q: 1. Three vectors in space are given as K = 3x + 2y + 42 L = 2x - 3y + 2 M = -x - 4y in cartesian…

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Q: Given that lim f(x) = 1 X→ 3 find each limit, if it exists. (If an answer does not exist, enter…

A: Given query is to find indicated limits.

Q: 10) A semicircle of radius 2r is inscribed in a rectangle so that the diameter of the semicircle is…

A: The length of the rectangle is l = 22r = 4r The width of the rectangle is w = 2r Formula Used: The…

Q: Element X has a half-life of 10 days. If we currently have a 25 ounce sample of Element X, how long…

A: NOTE: Refresh your page if you can't see any equations. . the half-life of the element X is p=10…

Q: Use the definition of derivative to find f'(x) and f"(x) f(x) = 4x² + 3x + 2 f'(x) =

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Q: Use the step-by-step or Euler method to solve numerically each of the following. (b) dy/dx = x+v,…

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Q: Evaluate lim A. dne 3x³-4x²+1 A. R x-00-7x³+x2+2 B. 0 C. - 31/12 The domain of y = log(1-2x) is B.…

A: Givenlimx→∞3x5-4x2+1-7x5+x2+2 We have to find the value of the limit of the function And we have to…

Q: Laplace (d^2y/dt^2) + 6(dy/dt) + 9y = cost y(0)=1, y’(0)=2 What is Y(s) and y(t)

A: We know the following. L{y''}=s2Y-sy(0)-y'(0)L{y'}=sY-Y(0)L{y}=Y Now,              y''+6y'+9y=cos t,…

Q: A mummy was recently discovered. It now contains 72.7% of its original Carbon 14. About how old is…

A: Given half life of Carbon 14= 5730 years. Given the mummy contains 72.7% of its original Carbon 14.