Solve the given initial-value problem. у" + 25у %3D 0, у(0) %3D 5, у'(0) — -7 y(x) =

Q: How to find the Marginal cost if the cost function is equal to a number with only one x value. For e...

A: Given query is to find the marginal cost.

Q: Subtract in the indicated base. 1002, 3224 10024 3224

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Q: Find (fo g)(x) and (g o f)(x) and the domain of each. f(x) = x? - 3, g(x) =4x - 5 (fo g)(x) = (Simpl...

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Q: What is the exact area bounded by the curve f (x) =- and the x-axis on the interval [1, 6]? Write th...

A: Area of region bounded by curves y = f(x) on [a,b] is given by             A = ∫abf(x)dx

Q: Let r(t) = -6t2 î+ (t² +3) ĵ + 7 k for t > 1. Reparameterize in terms of the arc-length parameter.

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Q: More example implicit differentiation on For f(x, y) = 4x² + 9y² – 36 = 0, find y' when x = V5.

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Q: Convert the numeral to a numeral in base 16 621 10 4627 10-16

A: We divide 4627 by 16 until the quotient is equal to 0.

Q: xInsinx?dx То evaluate using Gen. Power Formula, we let u=Insinx? .2 tanx? A) True В False

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Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not ...

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Q: able of values to estimate the value of the limit (correct to three decimal places). If you have a g...

A: Please refer to the image below

Q: Find the average rate of change of the function over the given interval. y=3x+ 1%3; between x= 1 and...

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Q: Let f(x) %3D + rCI + 3x2 – 4x 15 - This function has: 1) A y-intercept at the point 2) x-intercepts ...

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Q: Find the slope of the secant line in red. 104 (3, 8) (1,2) -10 -6 6. 8: 10 -6- -8+ -10 The slope of ...

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Q: III. FIND THE POINT OF INFLECTION OF THE FOLLOWING CURVES. (SKETCH THE GRAPH) A. y= (1/3)x - (1/2)x²...

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Q: The radius of a circle is increasing at the rate of 2 cm/min. 1. Find the rate of change of the circ...

A: topic - rate of change of circumference and area of a circle

Q: Subtract in the indicated base. 10024 3224 10024 3224 4

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Q: 10 – 3x°dx_ Land de In (cose)

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Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. E(- 1)n n ...

A: Given series is ∑n=1∞−1nn2⋅n+2!n!43n. Use ratio test Here, an=−1nn2⋅n+2!n!43n. Now,  limn→∞an+1an=li...

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Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator ...

A: A point x=a is said to be a vertical asymptote of a given function y=f(x) iff as x tends to a, y ten...

Q: The area in the first quadrant, bounded by the curve y=2x 1/2 , the y-axis and the line y-6=0 is rev...

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Q: Find (fo g)(x) and (g o f)(x) and the domain of each. x+4 f(x) = 2x- 4, g(x)= -

A: Given: - The functions are, f(x)=2x-4 and g(x)=x+42 To find: - The value of f∘g(x) and g∘f(x) and th...

Q: -1< x< 2 3 Consider the function f(x) = x = 2 |4- x 2 < x < 3 1 x2 3 (a) Sketch f(x). (b) Discuss th...

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Q: 6. Convert 72.18° to DMS notation

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Q: Subtract in the indicated base. 11012 1102

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Q: If g (x) =3x² – 4x + 5 ; G(x)=x³– 2x²+ 5x , then G is the anitiderivative of f .

A: Given: - The statement is, The functions are, g(x)=3x2-4x+5; G(x)=x3-2x2+5x, Then G is the antideriv...

Q: Find the average value of the function f(t) = (t– 10) on [0,15]. The average value of the function f...

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Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x#3 g(x) = x- 3 kx ...

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Q: Evaluate the following integrals. 1. x sin r cos x dr.

A: topic - integration

Q: Using differentiation formulas, write the derivative with respect to x of the following. Find the su...

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Q: Let lim f(x)=4. Use the limit rules to find the limit given below. lim 20 X-5 lim 200-

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Q: A local company makes two flavors of jam—strawberry and raspberry. Both flavors are sold through thr...

A: In this question The profit per jar of strawberry and raspberry has already been mentioned as $1.5 a...

Q: Functions A function value and a quadrant are given. Find the other five function values. Give exact...

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Q: Find the cross product u x v and verify it is orthogonal to both u and v. a) u = 4i + 3j – 2k and v ...

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Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) (cos(x) if...

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Q: For the given functions, find (f o g)(x) and (go f)(x) and the domain of each. 7 f(x) = 9(x) = 1-4x ...

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Q: Sketch the region that corresponds to the given inequalities. 2x + 4y 2 20 ys 5 x2 0, y 2 0 y y y 10...

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Q: Calculate the work W against gravity required to build a right circular cone of height 3 m and base ...

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Q: State the formula for the definition of the derivative of a function f (x) provided x is any number...

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Q: es 5*+1.In5 +C %3D 5

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Q: Solve the equation. Write the solution set with the exact solutions. 8 log, (7p-5)-4= 28 If there is...

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Q: A patrol car is parked 35 feet from a long warehouse (see figure). The revolving light on top of the...

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Q: I sin(z) cos I) COS(2C (x) dx %3D

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Q: Write a function based on the given parent function and transformations in the given order. Parent f...

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Q: Find the Taylor polynomial of orders 0, 1, 2, and 3 generated by f at a. 37 f(x) = sin x, a = 4 Po(x...

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Q: A security camera is centered 52 feet above a 100-foot hallway (see figure). It is easlest to design...

A: NOTE: Refresh your page if you can't see any equations. .

Q: dx the integrand is In x2 (A) True B) False

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Q: n this calculus word problem, that deals with linear vs angular speed, there is a patrol car. It is ...

A: Given: It is parked 50 feet from the a warehouse. the light revolves on top of car at rate of 30 rev...

Q: Find the equation for the plane through the point Po = (7,2,3) and normal to the vector n= 4i + 6j +...

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Q: Use substitution to find the Taylor series at x = 0 of the function 22 sin (- x). What is the genera...

A: The given function is 22Sin(-x).