Write the given (total) area as an integral integral or sum of integrals. The area above the x-axis and below y=16-x²

Q: The graph below is the function f(x) -5 -4 -3 -2 -1 O lim x→a 5 4 lim 2 1 Determine which one of the…

A: Given query is to find which rule has not been followed.

Q: A particle is moving with acceleration a(t) = 30t + 18. its position at time t = 0 is s(0) velocity…

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Q: 121 121 suppose that Σα; = -13 and Σ b; = 23. Compute the sum. i=1 i=1 121 Σ ( – 28α; - 2b;) i=1

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Q: Evaluate the indefinite integral. 8 sinº (x) cos(x)dx = + C

A: Evaluate the indefinite integral :     ∫8 sin6(x)cos(x) dx

Q: Find the absolute maximum and minimum values of each function over the indicated​ interval, and…

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Q: On the axes below, sketch the graph of a function f(x) that satisfies all of the following…

A: There can be many graph satisfying above condition.Below is one of them

Q: integral [x³√x² Evaluate the integral √x-2 dx.

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Q: Suppose that tan0 COS tan Ꮎ = = 0 333 and 0 Find the exact values of cos and tan 2 π 元|2 <0<T. 02 .…

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Q: Compute the given integral. fre³³ da - +C

A: The given integral ∫xe3x2dx. We have to evaluate this integral.

Q: San Diego is one of the largest cities in the United States. In 2012, the population of San Diego…

A: We need to find out the growth rate from 2012 to 2016, also the growth rate from 2016 to 2020.

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: NOTE: Refresh your page if you can't see any equations. . the height of the projectile after t…

Q: Let f(x) = √5x² + 3x + 7 f'(x) = f'(2) =

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Q: Suppose that a car has velocity 70 km/hr for 2 hours, velocity 60 km/hr for 1 hour, velocity 50…

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Q: Question 10 Find the indefinite integral. In 5x finx. dx

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Q: Obtain the general solution. (HOMOGENOUS EQUATION) 3. ydx + (2x - y)dy = 0

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Q: Gauss's law says that the electric flux through any closed surface is equal to the total charge…

A: We have to find the charge contained inside a cube.

Q: A fungal colony grows on a flat surface starting with a single spore. The shape of the colony edge…

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Q: Answer the following questions about the function f(x, y) = x³ + y³ – xy a) Find the critical…

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Q: Find the indefinite integral (8+8 tan²0) do. [(8+8 tan²0) 40=

A: The answer is given in step 2.

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 3 sin(t). The initial…

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Q: What should be multiplied to an angle in radians to convert it into degrees? 180° π 180° T 360° π…

A: What should be multiplied to an angle in radians to convert it into degrees?

Q: The graph of y = f(x) is given below. 10 6 4 2 2 (a) Calculate f'(8). Briefly explain how 8 equation…

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Q: u invest $1400. If the account grows by 6.2% per year, how much money will be in the account in 29…

A: Given that: investment P = $ 1400 Rate r = 6.2% per year Time t = 29 years

Q: A company's marginal cost function is c(x)=- where x is the number of units. 14 √x Find the total…

A: The marginal cost function is given by c(x)=14x The function can be rewritten as c(x)=14x-12   Now,…

Q: Suppose you have this function: f(x) = x² + xy + y² = 7. For all positive values of x and y, the…

A: To find rate of change of y with respect to x.

Q: Find the area of the region between the line y = 2x and the curve y = x² + x - 2

A: We will find point of intersection  y =2x and y = x2+x-2.

Q: Find the value of the indicated trigonometric function of the angle 8 in the figure. Give an exact…

A: To find the value of the indicated trigonometric function of the angle θ in the figure. sec θ=?

Q: Draw a graph to match the description given.   ​f(x) has a negative derivative over (−∞,−1) and…

A: We have to take care of slope while graphing....we can not graph actual...because  there is no any…

Q: Q3 :A company manufactures and sells x smartphones per week. The weekly price demand and cost…

A: NOTE: Refresh your page if you can't see any equations. . the demand and cost functions are

Q: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

A: We can solve the given problem by using the variable separable method.

Q: Use l'Hôpital's rule to find the following limit. 1 (AA) In x lim X→1+ lim X→1* 1 In x (Type an…

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Q: What is the definition of ? O [f'(x+h)-f'(x)]/h f" (x) lim h->0 [f(x+h)-f(x)]/h O [f(x+h)-f(x)]/h…

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Q: Number of equal real root(s) Number of unequal/unique real root(s) Number of imaginary roots Number…

A: We need to interpret the function and graph.

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: We need to find height.

Q: af af Exercise: Find for f(x. y) = x² + y² ду дх

A: As per Berleby Guideline I have to solve only first question. So answer to other resubmit the…

Q: Decide if the following statement is true or false, and the correct reasoning: According to the…

A: To decide whether the following statement is true or false, and to state the correct…

Q: Consider the following table, and assume that f(x) and g(x) are differentiable fund as given. X 1 2…

A: Given query is to find indicated derivative.

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: The relative rate of change of a differentiable function y = f(x) is given by 100. f'(x)% f(x) What…

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Q: a.-27 J b. ex c. -18 d. -ex

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Q: -0.5 2 -2 D 910 y=x(x − 3)(x − 1)² 0.5 1.5 2 2.5 3.4

A: Given that , y=xx-3x-12

Q: Given that the graph of f(x) passes through the point (4, 7) and that the slope of its tangent line…

A: use derivative  as slope and use the integral for finding the value of function .

Q: population of a city is tripling every 15.8 years. If its current population is 35.2, in thousands,…

A: Given query is to find the population after 2.6 years

Q: Determine if the improper integral is convergent or divergent, and calculate its value if it is…

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Q: Evaluate the limit: lim I->-9 x² + 2x ting x +9 63

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Q: Use the right endpoint method and the equality, n md- Σk³ n² k=1 lim n→∞ = - 1 4 to show that the…

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Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of y=x² + 9x between x = 2…

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Q: Find the gradient vector field Vf of f. f(x, y, z) = x³yey/z

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Q: Click the best answer 2 15 10 5 0 D 0 -10 -15 -20 -25 2 6 y=(x-2) ¹-9x 8

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Q: Find a, b, c, and d so that: ab [88] [ c d OA. 98 a b c d -5 3 = Select the correct choice below…

A: Given: abcd+98-53=-21-10-5   To calculate the value of a, b, c and d.