a and b are positive numbers. a, -4, b.... form a geometric progression. 14, a, b... form an arithmetic progression. Find the value of a

Q: Proceed as in Example 6 in Section 2.3 to solve the given initial-value problem. S 1, 0sx s 1 x > 1 ...

A: Given that dydx+y=fx  , y0=1  fx=1  ,0≤x≤1-1    x>1Solution:When 0≤x≤1dydx+y=1 this is the linear...

Q: A penny of 0.75 inches in diameter is randomly dropped 100 times on a customized Go board. It inters...

A: Diameter of penny = 0.75 inches Probability of intersect of lines = 70100 probability on not interse...

Q: Suppose that the curve y =( x^4)/8 + 1/(4x^2) on the interval [1, 2] was revolved about the x-axis. ...

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Q: Given a function whose graph is shown below. 3 2- 1+ -6 -2 1 4 8 -1+ -3- -4+ What is lim f (x)? x--5

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Q: Sx V1 – x² dx 3.

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Q: If labor (x) costs $235 per unit, materials (y) cost $169 per unit, and capital (z) costs $60 per un...

A: Given that: Labour costs $235 per unitMaterials y cost $169 per unitCapital z costs $60 per unit.

Q: 1. Find the indicated values. f(g(8)) |x| f(x) g(x) s(8(5)) 1 5 g(f(5)) 2 5 8(5(3)) 3 2 4 4 1 S(S(4)...

A: Use the given table for finding the value of function 

Q: g(x) = 2f(1 – x) +3. find a correct order of the following ransformation: reflection in the y axis h...

A: Given query is to find the transformation applied.

Q: What is an antiderivative of ... x²+1 x + arctan x – 5 2x + 3 x + arccot x x + 2arctan x + 1 А) в B)...

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Q: 21. The radius of a spherical balloon is increasing at the rate of 3 centimeters per minute. How fas...

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Q: 7. To evaluate f-cos X-1 dx, the integrand can be transformed to? 1-sin? x

A: Follow the procedure given below.

Q: dx What should be the rewrite of the integrand of so that the resulting integral is integrable? ... ...

A: ∫dx1+cosx

Q: A. Manually Sketch the curve with the given polar equation by first sketching the graph of as a func...

A: Given:         r=cos5θ

Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x² + 10. ...

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Q: 31. x - y = In y; (1, 1)

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Q: Test the series below for convergence using the ratio test. 5n n! n=1 The limit of the ratio test si...

A: Given:     Equation is given

Q: dx 3. What should be the rewrite of the integrand of f so that the !+cos x resulting integral is int...

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Q: Find the domain of the function. (Enter your answer using interval notation.) 3x3 - 2 f(x) = x2 + 3x...

A: Let's find. 

Q: Suppose f(x) and g(x) are two functions such that: • f(3)=1 • g(3)=1 • f(3)=5 • g'(3)=7 What is (fg)...

A: we know that uv' = u'v+v'u                   product chain rule of differentiation

Q: The slope of curve is given as (2x + b +) and has a value of 2x3. 17 at x = 2. What is the value 16 ...

A: as per question  We have determine slope of curve   

Q: Use the Law of Exponents to rewrite and simplify the expression. (a) b°(2b)3 (b) (6y³y4 2y5

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Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x2 + 10. ...

A: Given, P-profit x-number of units sold dP/dx= 0.0006x²+10  

Q: Live equation ar differential with constat coefficients dx -3x 3x = -9ゼー1 5. | dt? dt

A: We have to find the general solution of differential equation

Q: Current Attempt in Progress Match each property (a)-(d) with one or more graphs (I)-(IV) of function...

A: Given query is to find match the graph.

Q: TC 4 |(sin x – 1) dx +| (cos x + 1) dx = %3D TC 4

A: Intigration

Q: A ball is thrown straight up into the air off the top of a building so that is height in feet after ...

A:

Q: (sin x – 1) dx + (cos x + 1) dx = C.)-1 D.) - (1+) А.) —89 В.) —91 |

A: Using formula  ∫ Sin x dx = - Cos x + C ∫ Cos x dx = Sin x + C ∫ xn dx = [xn+1/(n+1)]+C   ∫(Sin x - ...

Q: (:) 8. dw 4. 6tan w

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Q: questions

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Q: (a) Calculate the first-order differential equation below using transformation y = xv. dy +3у %3D 2х...

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Q: Solve the given linear differential equation with constant coefficients. Solve each and show complet...

A: Please see the below picture for detailed solution. 

Q: What is the value of a so that In (e") dx 6? ... A.) 0 В.) 1 C.) 2 D.) 3

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Q: 25. A 10-foot ladder is placed against a vertical wall. Suppose that the bottom of the ladder slides...

A: Given :-  dx/dt= 3feet/sec  Ladder height= 10feet  Find rate at which ladder is sliding down from th...

Q: (b) What is the average rate of change in the size of the tumor during the first two months? Round y...

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Q: -1) 2. -dx (e² +1)

A: Given: - The indefinite integral is, ∫ex-1ex+1dx To find: - The solution of the given integral.

Q: Determine the behavior of the functions defined below. Note that it is common to write g(x) → 0" to ...

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Q: Find the antiderivative of 5$sinx ln 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin...

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Q: Let X be the set {5, –6, 2}. For the first three parts of this problem you are asked to define a fun...

A: Consider the set 5,-6,2. The function is f:X→X and the relation is u~w⇔w=fu.   a) The relation is re...

Q: Linear differential equation hith constart coefficients. 3 D = n- 4R+ 6) y

A: Given: D4-4D3+7D2-4D+6y=0

Q: 31, 32, 33, and 34 Use the Squeeze Theorem to find the limit. 31. lim xy sin (æ, y)→(0, 0) x2 + y²

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Q: 4. Determine if the relations given by the graphs below give y as a function of x. If so, determine ...

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Q: 2. (D2 + 3D)y = -18x; y = 0, Dy 5 when x

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Q: d²x dx 5 dt2 2- 3x = -9t2 – 1 - - dt dx When t = 0, x = 1, = 0, find x when t = 2 dy %3D -

A: Please see the below picture for detailed solution. 

Q: Question 16 dx What should be the rewrite of the integrand of S so that the resulting integral is in...

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Q: The given problem needs the first derivative. Find the first derivative. a² x Y= a² + x

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Q: Explain what it means to say that: lim, h(x) - o and lim h(x) x →5+ – 0.7. x →4 As x approaches 5 th...

A: According to question,Given limits,limx→4 hx = -∞,andlimx→5+ hx = -0.7,

Q: L:(sin x – 1) dx + ,cos x + 1) dx =? c)-1 а.) -89 b.) -91 d.) - (1 +)

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Q: For the function f(x,y) = 3x2 + 7y2, find the following. f(x +h,y) – f(x,y) а.

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Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

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Q: Find all the values of e such that the given series would converge. (z – 11)" n( – 7)" n=1 The serie...

A: series