If f and g are two functions that are differentiable at every x in an interval (a, b), and if ƒ'(x) = g′ (x) for every x in the interval, then f(x) = g(x) for every x in the interval.

Q: 4 Replace the polar equation r sin 0-3 cos with an equivalent Cartesian equation. Then identify the…

A: Put x=r cosθ , y=r sinθso r=4 sinθ-3cosθgives, r sinθ-3r cosθ=4or, y-3x=4or, y=3x+4 This is the…

Q: Question 11 The differential equation y' = 2y+sin x is Select the correct answer. O a. linear O b.…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Let (-1)n-1un be an alternating series. The Alternating Series Test (AST) has 3 conditions to check…

A: The given series ∑-1n-1un be an alternating series. We have to find the conditions for the…

Q: U.S. Cell Phone Subscribers The number of cell phone subscribers in the United States between the…

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Q: If f(x) = 2r sin r cos x, find f'(x)= Find f'(5)= Question Help: Video Message instructor D Post to…

A: Given query is find indicated derivative.

Q: The quantity, q, of a certain skateboard sold depends on the selling price, p, in dollars, so we…

A: Given f(115)=15400 and f'(115)=-70 We use this information to solve the problem

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Q: Find the vertex of: f(x) = (x − 2)² – 1 - The vertex is

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Q: ect ALL the true statements about geometric series: ar The p-series is absolutely convergent…

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Q: On which interval ƒ(x) = − 3x is increasing? 4 O a. (-∞, -2)and(−2, 2) O b. (-2,2) c. (-∞, -2)and(2,…

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Sabina begins 10 meters to the east of a certain tree, and walks directly to a spot 6 meters north…

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Q: Find the area of the region bounded by the graphs of the functions: f (x) = sin 2x and g(x) = cos 4x…

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Q: Find the center and radius of the circle whose equation is x² - 6x + y² +9y − 13 = 0. - The center…

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Q: Evaluate the integrals of the following C1i. f(Se-x+3x, (x0)

A: according to bartleby guide line we do only first part (i)…

Q: Use the graph of the function f to determine its absolute minimum value and absolute maximum value,…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Evaluate the following limits of trigonometric functions. Provide solutions and box your final…

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Q: Let u = i-3j+9k, v = i + j and w = 2i +2j - 4k. Find ||u+v||. NOTE: Enter the exact answer. ||u+v||=

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Q: Set up the working equation in finding the area of the plane region bounded by y = -x² and x = -y²…

A: To set up the working equation in finding the area of the plane region  bounded by y=-12x2 and…

Q: Let u = i- 3j+5k, v = i + j and w = 2i + 2j — 4k. Find ||u+v||. NOTE: Enter the exact answer.…

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Q: Spanish. ence sayir as) co ofesor F Right Triangle Trig Find each answer. 1. A 4. Lm √√3 B A) B) C)…

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Q: If f is continuous on a closed interval [a,b], then f necessarily attains an absolute maximum value…

A: The given statement, If f is continuous on a closed interval a, b, then f necessarily attains an…

Q: interval notation of -292<x<308 not including -67 and 83

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Q: We know how to determine if a given table with x and y represents a function of x or not. In this…

A: x is a function of y    here we find value of c by equating two values at same point

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: NOTE: Refresh your page if you can't see any equations. the given DE is  compare this DE with so…

Q: According to the Extreme Value Theorem, if a function f is not continuous on (a, b), then f does not…

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Q: a. Set up an integral for finding the Laplace transform of the following function: f(t) = = [0, t +…

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Q: Find the average value of f(x) = Enter the exact answer. fave = x (2x² + 1)² over the interval [1,…

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Q: Let f(t) be the number of centimeters of rainfall that has fallen since midnight, where t is the…

A: We can solve it as follows

Q: Consider the initial value problem given below. 3 dy y dx x += x³y²₁ y(1.2) = 1.8 =X The solution to…

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Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (2z - 4x³ - 4y - 1) 1…

A: The function f(x,y,z) is continuous if the limit at each point is existing and is equal to the…

Q: Express the integrand as a sum of partial fractions and evaluate the integra 0x²+2xx-x O 6…

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Q: d² Find and simplify (f(x)g(x)) = O f'(x)g(x) + f'(x)g'(x) + f'(x)g"(x) + f(x)g"(x) O f'(x)g(x) +…

A: Given query is to find double derivative.

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

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Q: Simplify. Y -2x -1 yx ° -2yx 6x² - 5x [6²² 8yx 6x² - 5x [62³% 2yx 6x² - 5x 162² [152² 2yx 15x²–5x…

A: It's simply a matrix multiplication. Use the raw into column multiplication of matrices.

Q: 10. Practice similar Help me with this Calculate the integral, if it converges. If it diverges,…

A: Here we have to find the definite integral.

Q: Write a mathematical model for the following statement. Use k as the constant of variation. C varies…

A: Given that, C varies directly as the square of t.

Q: Identify the vertex of: f(x) = 3(x - 5)² + 1/2 O (-15) O (5) O (-1/52,7) O (5,-)

A: Identify the vertex of: fx=3x-52+72A   72,-15B   72,5C   -152,7D    5,72

Q: A few weeks into the deadly SARS (severe acute respiratory syndrome) epidemic in 2003, the number of…

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Q: If x2 + y2 + zz dz dt || = 9, = dx dt = 7, and dy dt = 3, find dz dt when (x, y, z) = (2, 2, 1).

A: To find out the derivative dz/dt at the point given.

Q: Find the derivative of the given function. (It may be to your advantage to simplify the function…

A: f(z)=z2+20zax.ay=ax+y

Q: Q2. Find the equation of the tangent line to f(x) = x³ - 5x² + 1 at x = 1.

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Q: Consider the following. sin(20) √9-7 sin(8) Use the substitution y = sin(0) to rewrite the given…

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Q: Absorption of Drugs The concentration of a drug in an organ at any time t (in seconds) is given by…

A: x(t)=0.09+0.16(1-e-0.013t)(i) for initial condition put t=0

Q: Find the derivative of the given function. Use all lower case letters. ax² + b C h'(x) = h(x) =

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Q: Find all the second-order partial derivatives of the following function. h(x,y) = 9xey + 5y + 6 22n…

A: To find all the second-order partial derivatives of the following function. hx, y=9xey+5y+6

Q: Find f (x) for f(x) = 3x - 5. O O f-¹(x) = -3x + 5 O f-¹(x) = -3x - 5 O f¹(x) = -1/3x + 1/ 5 f-¹(x)…

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Q: The regular price of a pair of jeans is x dollars. Let f(x) = x - 14.60, where frepresents the price…

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Q: Write a mathematical model for each of the following statements. Use k as the constant of variation.…

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Q: Please help to solve this into detail. Thank you.   1) Find an equation of the plane tangent to…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…