An element loses 31% of its mass every year. Find the half-life in this situation. The half-life is years. (Do not round until the final answer. Then round to the nearest hundredth as needed.) ->

Q: Find the directional derivative of the given function at the point P in the direction of vector u . ...

A:

Q: Find the particular solution of the differential equation that satisfies the initial condition. f'(x...

A: I am attaching image so that you understand each and every step.

Q: Definite Integral Instruction: Answer the following. Show all your solutions. 3. sin xdx (1 + w)(2w ...

A: As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫sinxdx=-cosx+C   From the given integration; (...

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: Name: 4.7 Assignment - Multiple Representations of Combined Functions 1. The chart below shows the g...

A:

Q: find the range of the function f(x,y) given the function and domain. f(x,y)=x/y, D={(x,y): 0x}

A:

Q: what are the coterminal angles for -220 degress

A: We have to find the coterminal angles for -220° The definition of coterminal angles is, the angles i...

Q: xy' + y = 0, y(4) = 6 %3D

A:

Q: Evaluate the function y = - for x = 3 to x = 5 in steps of 0.5. Write the complete x+ code

A: % Matlab Code% defining the range for xx = 3:0.5:5;y = (x) ./ (x+(1./x.^2))

Q: A rock is thrown into a still pond. The circular ripples move outward from the point of impact of th...

A:

Q: A solution composed of 50% ethanol (EtOH), 10% methanol (MEOH), and 40% water (H2O) is fed at the ra...

A:

Q: Jestion 1, Container with the volume of 750cm' . Determine the dimensions of optimal shape for each ...

A:

Q: Find the area of the region that is enclosed between the curves a = y and x= y - 2 integrating with ...

A:

Q: Derivative of h(x)= (x+5)^4(2x-1)^2

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

Q: Sketch. the.region.cf.integratizin.and.evaluabe. thaw .. fallowing. integrals a ..... in2 Ins 2X-년 A...

A:

Q: 3. For the domain -2,-1,0,1,2,3 with f(x) = x + 2 and g(x) = 2x - 1 Determine the range of (gof)(x)....

A:

Q: E Valua te :- 1X+2y) dx dy when

A: Given problem:- ∫∫D(x+2y)dx dy  Where D : y=2x2 , y=1+x2

Q: Given the following differential equations, use an appropriate method to find for the solution.

A: Solving the differential equation by seperation of variables

Q: 0. You are constructing a cardboard box with the dimensions 50 m by 20 m (see the figure below). You...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 3n (2х — 1)8 п4 + 1 n=1

A:

Q: 8. What is dx (x2+8)3

A:

Q: 2. Evaluate. th fallowing.integrals.a.fte..seueo.ing.the arder.af.integratren. dyd x Ans..In7)4 .0.t...

A:

Q: An offshore oll well is 4 kilometers off the coast. The refinery Is 5 kilometers down the coast (see...

A: Given query is to find the x to minimize the cost.

Q: dy If y = In V4x² + 5x_then dx

A:

Q: Find the equation of the tangent line to the curve when x has the given value. f(x) = = ;x = -3 4 O ...

A:

Q: Translation scheme and with left-recursion infix-to-postfix translator?

A:

Q: 1. What is the slope of the tangent line to the curve f(x) = 5a2 - e* - e, at a = -1? (A) –10 e (B) ...

A:

Q: Find all the local maxima, local minima, and saddle points of the function shown below. f(x,y) = 9 –...

A: Given:   f(x,y) = 9 - 7√(x2 + y2 )

Q: Use the method above to find the distance from the point P(-3,1,7) to the line through A(1,1,0) and ...

A:

Q: 2n + 2 (a) E(-1)"+1. Vn3 + n² + n n=1

A: The given series is: ∑n=1∞(-1)n+12n+2n3+n2+n Now, let  an=(-1)n+1(2n+2)n3+n2+n & bn=nn3=1n32-1=1...

Q: 3. a) Find polar coordinates (r, 0) of the point (1, -/3), where r> 0 and 0 <0 < 2 p2 = x² + y?, tan...

A:

Q: dx for 4xy - 5x + 2y3 = - 42, with the conditions dt = - 6, x=2, y= - 2. dt Assume x and y are funct...

A:

Q: - Sint - COS 2 sec E) tanC)

A: Recall: sec(x)=1cos(x)tan(x)=sin(x)cos(x)

Q: Given the differential equation and its initial conditions y" - 4y' + 5y = 4 e" with y(0) = 2 and y'...

A:

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

A:

Q: Q. The curve y = v4 – x², -1 <x<1, is an arc of the circle x? + y? = 4. Find the area of the surface...

A:

Q: Find two other pairs of polar coordinates of (2, 27/3), one with r >0 and one with r <0. Then plot t...

A: I am attaching image so that you understand each and every step.

Q: 6x Find an equation of the tangent line to the graph of y = 2 X +1 at the origin and at the point (-...

A: Given,          The line is y=6xx2+1 at the origin and at the point -1,-3.To find : Find an equation...

Q: A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium ...

A:

Q: y = x2, y + 2x =8. ntify the volume generated by revolving amd y = 0, rotated about the y-axis.

A:

Q: Integrabe.the funchem. fexng). aver..the.. |-x- y2 ..... ... Does. the integral.af. fxn.y.).ro the d...

A: Double integral

Q: Use the areas shown in the figure below to find the following. y = f(x) Area =0.7 Area =15 a Area =2...

A:

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x² + ...

A: Given equations are:  x2+y2-6ax=0x+y=6a The small bounded region is rotating about the line x=0.

Q: he points A(1,-2,4) and B(2,-4,1) cach make direction vectors with the point (Xo.Yo, Zo). The point ...

A: The Parametric equations of the line are the components of the vector equation , and have the form  ...

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /...

A:

Q: Find if y = arctan(e2*). dx dy 2e 2x dy e 2x dx 1+e 4x dx 1+e4x O Option 3 Option 4 dy dy 2e 2x V1-e...

A: Topic = Derivative

Q: Consider the points A(3,-3, 3), B(4, -5, 1), C(-2,-4, 1), and D(6,3,-5). (a) Find the volume of the ...

A: Given: A(3,-3,3) ,B(4,-5,1) ,C(-2,-4,1) and D(6,3,-5)

Q: Evaluate the integral using the following values. 6 dx = 260, х dx %3D 10, dx = 2 4 4 "x³ dx

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

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x2 + ...

A:   Intersection points:  x2 + y2 - 4ax = 0                                                          ...

Q: 2. Construct a table of values to investigate the following limits. 2r +1 lim a. 42 I-3 I+3 if z1

A: This is a problem related to the limit and continuity. Limit of the function is exist if right hand ...