O Find the equ.of Plane that contains p(o,3) and Parallel co the X-2 Plane and PerPendicular to the plane 2X+3y-2=

Q: « (x - })" 2. Calculate the fourth term of

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Q: A. Get the derivative of the given function. 1. y = (5x³ + 4)² 2. y %3D

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 1. DETAILS LARCALC11M 9.4.030. Test for convergence or divergence, using one of the tests listed bel...

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Q: A certain radio active substance has half-life of 38 hours. A. Determine the value of k in four deci...

A: Consider the radioactive decay function, A(t)=A0e-kt  Where A(t) represents the amount of substance ...

Q: Please show the step by step solution. Thanks!

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Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y...

A: Topic = Differential equation Correct option = d

Q: Find the first partial derivatives of the funct f(x, y) = x8 + 7xy5 fx(x, y) =

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Q: 8. Determine the general solution of the the differential equation: (x + y)dy = (x – y)dx | (a) x2 –...

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Q: 4. Which of the following represents the differential equation of the family of parabolas having the...

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Q: Solve the given initial-value problem. (x + y)2 dx + (2xy + x² – 4) dy = 0, y(1) = 1

A: This is a question related to differential equation. Based on the general formula and integral metho...

Q: 3 3 (x+ Ax)° – x° lim x→0 Ax

A: Limits

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Q: Determine the values of a for which the system has no solutions, exactly one solution, or infinitely...

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Q: A balloon leaving the ground 60 ft from an observer rises vertically at the rate of 10ft/sec. How fa...

A: Given,            A balloon leaving the ground 60 ft from an observer rises vertically at the rate o...

Q: sin(ln x) Use Squeeze Theorem to evaluate lim x→0+ In(sin x

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Q: Which of the following equations is not a variable separable? ту + 3х — у — 3 ry – 2x + 4y - 8 dy dy...

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Q: (b) Factor f(x) as a product of linear factors. f(x) = Part: 2/3 Part 3 of 3 (c) Solve the equation ...

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Q: Calculus Question

A: The given function,      fx=4x+2+6 ; x≥-2

Q: Write the equation of the sphere if (1, – 2, – 5) and (– 1, – 2, 7) are the end points of a diamter ...

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Q: 2. The equation y? = cr is the general solution of which of the following differential equa- tion? 2...

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Q: Find the equation of the tangent line to f-l x+4 at the point P (,0) for f(x) = 3x + 3

A: f(x)=(x+4)(3x+3)=x+13(x+1)+33(x+1)=13+1x+1 f'(x)=-1(x+1)2 f''(x)=2(x+1)3 the slope of the tangent at...

Q: An+1 to determine if the sequence an is strictly increasing or strictly decreasing. Usethe ratio 6n ...

A: This is a series problem

Q: 7. Which of the following is a differential equation with homogeneous coefficient? (a) (y² – Vx² + y...

A: A differential equation of the formdydx=f(x, y)ϕ(x, y) is called a homogeneous equation if each term...

Q: Given cost and price (demand) functions C(q) = 110q + 41,000 and p(q) = - 2q + 860, what price maxim...

A: Given : price demand function p(q)=-2q+860

Q: differential equations solve by bernoulli differential equation xy=(x^2+2y^2)y'

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Q: Find the radius of convergence and the interval of convergence. of Σ k(k + 1) k=1 1) First apply the...

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Q: Find each limit ) li sinh) O li x→o+ ( - ex -I 3 li ×→マ 4 li ( Inx)' ×→や x³+8 Xtる lin x→ -2

A: First we take logarithm on both side then using l hospitality rule. 

Q: Suppose an angle has a measure of 100 degrees. Tip: Watch the video at the end. a. If a circle is ce...

A: Let's find. 

Q: x 2 x = 2 cx + 9, d Find the values of c and d that make f(x) continuous at x=2. c= d= (If the valu...

A: Topic = Functions c=5 d=19

Q: Examine the punction por vela tive extrema f6.y)= x-xy -y? -3x -y and so dde points %3D

A: Relative extrema and saddle point

Q: H-W.3Find wand dw de when P=1 904if- W = XY +Y2ZU +uV and x = P4 ノリ=4 tap 2= Ln L4-3P) V =P+4+1 ナ フ

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Q: (y² + xy³)dx + (5y² – xy+ y³ sin y) dy = 0 Let M = y² + xy³ and N = 5y² – xy + y³ sin y 1 /дм 12. M\...

A: Given M(x,y)=y2+xy3  and N(x,y)=5y2-xy+y3siny  

Q: Find each limit O li sinh() -x ×ミ li ex -

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Q: 5dx Evaluate the æ(x+1)° O a. Ina + In (æ +1) + 5 +C O b. Ina – In (x + 1) – а. 5(x+1) 1 + C 5(x+1) ...

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Q: Given the the parametric curve Sx(t) = ¿e" – 12e* + 32t %3D 1 y(t) t5 – 6t + 10 dy (a) Find an expre...

A: We know that; The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 Given: xt=12e2t-12et+32tyt=1t...

Q: Answer in complete solution: Given A = xD + 3, B = xD – 2, prove or disprove AB = BA.

A: We have to prove or disprove AB = BA. 

Q: The following series are geometric series or a sum of two geometric series. Determine whether each s...

A: a) ∑n=1∞5n4nb) ∑n=2∞12nc) ∑n=0∞2n82n+1 Note:      Multiple sub-parts are given, we are answer only t...

Q: 1. Write the equation of the line tangent to the graph of the given function at x = 1 y= 5x²-3x+1 2....

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: the time for the water temperature to reach 70° C E

A: Follow the procedure given below.

Q: Given Cost and Revenue functions C(q) = q° - 9q° +51q + 5000 and R(q) = - 3q +2600q, what costs shou...

A: Given query is to find the cost for maximum profit.

Q: Find and sketch the domain of the function. f(x.y) = Vy - 2x- 6 ... Find the domain of the function....

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Q: The height of a cone is decreasing at a constant rate of 3 centimeters per minute. The volume remain...

A: V=13πr2hSubstitute V=52 and r=6 into the above equation52=13π(6)2h h=52×336πh=133π cm

Q: 21. The complementary solution, y., of the equation y" + 2y" + y = 10 is %3D (a) y. = Ce- + cze- + C...

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Q: Use sigma notation to write the Taylor series about r = xo for the function. In x; xo = 1 %3D Σ k =

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Q: Write the first five terms of the sequence: {Vn² +n – n}n=I +o0 Determine whether the sequence conve...

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

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Q: Construct a frequency distribution table and  Show solution. Compute the following: a. Class Bound...

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Q: Problem 1: An open rectangular box is to be constructed by cutting square corners out of a piece of ...

A: From the figure above; The base of the box that will be created is a rectangle of length = (14- 2x) ...

Q: The solution of the non-exact differential equation 2ydx + (3y- 2x)dy = 0 is O (2y/x)+Iny=c O (2x/y)...

A: topic - differential equations

Q: 18. Determine the roots of the auxiliary equation of y" + 3y" – 4y' – 12y = 0 (а) —3, —2,2 (b) -3, –...

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