Assume a substance is reduced by 21% in 28 hours. What is the substance's half-life?   Give your answer to four decimal places

Q: كاكا Simplify the expression (32)2 2j)x(2i +6k)

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Q: m y - 2 y^3-8/2y^2-7y+12

A: Given: limy→2y3-82y2-y+12

Q: A missile is fired from ground level with an initial velocity of (0) - (1000, 1400, 368) measured in…

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Q: For f(x) = 8x3, construct and simplify the difference quotient f(x+h)-f(x) h (Type in descending…

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Q: 2. a) For what values of x is f discontinuous? b) At each point where f is discontinuous,…

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Q: Given the following differential equations, verify that they are exact differential equations and…

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Q: (a) Write an equation that defines the exponential function with base b > 0. ○ f(x) = xb Of(x) = bex…

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Q: Find the derivative of the function. y=xⓇex y=[

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Q: Does the set of vectors below span the xy-plane? {(1,5), (0, 2), (4,4)} No

A: There are two number of variables x and y if the rank of the matrix formed by these point is equal…

Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: The given differential equation is:y'+9y=e-9t, y0=1We need to solve the above differential equation…

Q: 28. y = cos z, y = 1- cos z, 0<x<*

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Q: 26 - x - 5 X→ 1 √5-x-2 Evaluate lim

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Q: Find the equation of the plane that contains all points that are equidistant from two points…

A: Given that two points A(-1,3,2) and B(8,-2,4) and we find the equation of plane that contains all…

Q: The line graph shows the cost of inflation in some country. What cost $10,000 in 1975 would cost the…

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Q: Differentiate the function.

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Q: 3 f(x) = -, P(2,1) x+1

A: Equation of tangent line to fx=3x+1, at point  2, 1

Q: The figure shows the boundary temperatures (in degrees Celsius) of an insulated thin metal plate.…

A: INTRODUCTION A collection of two or more linear equations that share the same set of variables is…

Q: Find all x-values where the function f(x) = Answer 2x + 9sinx has a horizontal tangent line. Select…

A: Given data:  Given Function f(x)=-92x +9sin(x)

Q: Consider the differential equation: 12x² 6y² - 4 dy dx y(2) A) Solve the differential equation. Give…

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Q: Value of the integral √₂ = ds where the curve C is given by y = 8√x with 0≤x≤1 is equal to: O…

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Q: construct your own expression and formulate and the inverse question corresponding it

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Q: Find a vector that is orthogonal to the plane containing the points p(3,1,1) ,Q (4,-2,1) , and R(…

A: The points are given as , P3,1,1 , Q4,-2,1 , R5,2,-1 Find a vector that is orthogonal to the plane…

Q: lim h - 0 /49+h-7/h

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Q: The area A of the region S that lies under the graph of the continuous function is the limit of the…

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Q: Consider the function y = (3x + 2)2. Using the values x = − 9 and △x = − 0.4, calculate △y − dy.…

A: Consider the function y=3x+22. By using the values x=-9 and ∆x=-0.4, to calculate ∆y-dy.

Q: ight, in metres, of an object that has fallen from a height of 180 m is given sition function s(t) =…

A: We will find the required.

Q: Can we make the matrix F = J₁ J₂ = J3 = J4= OF = - [44] -1 2 [4 -11 5 F Answer: -2 -2 -1 G. -1 1…

A: Given matrix is F=-3822-35-36 and J1=4-175, J2=4-4-12,J3=-21-2-2 , J4=-11-1-1

Q: Find the following limits. limn→∞ 3n2 + 1/          2n2 + 2n - 1.       2. limn→∞ √5n2 + 2n/…

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Q: Find the area of the shaded region in Y P V X bounded by the graph of 2x², f(x) the tangent line at…

A: To find the area of the shaded region.

Q: Use a computer algebra system to approximate the iterated Integral. (Round your answer to three…

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Q: Problem 1 x JI√ ار कर X dydx

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Q: Find the derivative of all orders of the function. y = y' = X 4 A 3x³ 4 + 9 x³ - x² +6x-3

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Q: Determine the location of a point (x, y, z) that satisfies the condition.  x > 0 a) The point is…

A: The given data is: To determine the location of a point (x, y, z) that satisfies the condition…

Q: Solve 32 (1) Ox=3 Ox=2 Ox=4 Ox=1 3 = 2

A: Given query is to find the value of x.

Q: he path r(t) = (t) i + (t² +6) j describes motion on the parabola y = x² +6.

A: Please see the below picture for detailed solution.

Q: Complete the table and investigate the limit. x3 + 8 lim x-2 x + 2 f(x) = X x³ + 8 x + 2 -2.1 X x…

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Q: The area of the parallelogram whose vertices are A (5, 2, 0), B (2, 6, 1), C (2, 4, 7) and D (5, 0,…

A: Given vertices:- A5,2,0,B2,6,1,C2,4,7,D5,0,6

Q: 2. Let f(x) = 3x² + x, g(x) = ²/, and h(x) = √x + 1. Compute the following: (a) (fog)(x) (b)…

A: We have to solve given Questions.

Q: For what point on the curve of y=9x² - 2x is the slope of a tangent line equal to 88?

A: To find a point on the curve with given slope of tangent.

Q: lim x →-00 1 + 16x6 6-x³

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Q: 9. A marble moves along a straight path and its position at time t, in seconds, is given by s(t) =…

A: given  s(t)=5t-2t2we know v(t)=d dt(s(t))dtndt=ntn-1

Q: An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. Find the work needed to pump half of…

A: Given:- An aquarium 2m long,1m wide and 1 m deep and density of water is 1000kg/m3

Q: Find the indicated derivative. Then find an equation of the tangent line at the indicated point on…

A: To find the indicated derivative. Then to find an equation of the tangent line at the indicated…

Q: 5. Using the definition of the derivative, find the slope of the tangent to the given curve at the…

A: (a) y=2, (1,2)from defination of derivatives f'(x)=limh→0f(x)-f(x+h)h

Q: Assume that a population was 796 when t=0, and 6 years later it became 2117. Assuming the population…

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Q: Find the following using the table below. 3 4 4 1 X 1 2 f(x) 3 2 f'(x) 1 3 g(x) 3 4 g'(x) 2 1 AWNN…

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Q: Complete the table and investigate the limit. lim (x + 4) X-3 X f(x) = x + 4 2.9 x approaches 3 from…

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Q: -3 10. y = 5t-³ +7t-8/3

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