Determine the equation of the parabola graphed below. 5 4 3 2 1 0 1 2 3 4 5 6 7

Q: If the curve y = 4x², 2 ≤ x ≤ 5, is rotated about the x-axis, what is the integral that represents…

A: We can find the answer as below.

Q: d the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x²+x-1 8x2 - 6x - 5…

A: Topic:- limits

Q: Calculate the integral of ze²x+y over the surface of the box with 0 ≤ x ≤ 2,0 ≤ y ≤ 3,0 ≤ z ≤ 6.…

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Q: Given u = and V = , find 2u + 3v. O a) Ob) Oc) Od)

A: Given,  u=4,-3v=-1,2 Let's compute  2u=24,-32u=<8,-6> and  3v=3-1,23v=<-3,6>

Q: Find the critical numbers of the function :

A: For finding the critical number, find the derivative of function and set to zero.

Q: Solve the triangle

A: Please refer to the image below

Q: * If {an} and {bn} are 2 sequences defined by 5n 5/n +31 ³ an = n and bn = sin-¹ (-) then lim (an +…

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Q: The estimated marginal profit associated with producing x widgets is given by P'(x) = -0.6x + 24…

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Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the…

A: The objective of the question is evaluate the area by help of midpoint rule.

Q: Find the limit of the trigonometric function. (If an answer does not exist, enter DNE.) lim 8 cos x…

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Q: Find the limit of the transcendental function. Ilm sin 7tx

A: topic- limits

Q: The difference between a linear regression and a correlation is largely philosophical. Linear…

A: Option A  : The global mean temperature has gone up while the global pirate population has gone…

Q: lynn deposits $683.09 at the beginning of each quarter for three years in order to accumulate…

A: Given Periodic contribution, P=$683.09 Sinking fund, A=$9500.60 Time period, t=12 Quarters

Q: (4) 3. Use implicit differentiation to find dy/dx of the following: x² - 5xy + y³ = 21

A: As per policy only first question is answered. Please refer to the image below

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: Question 6 of 20 View Policies Current Attempt in Progress Use the limit definition to find whether…

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Q: Use the figure to evaluate the definite integrals y = g(t) K +t 1 2 3 4 5 2 y 1 + -1 -2- +2 +3 2…

A: We can find the area under a curve between two points can be found by using a definite integral.

Q: A Sliding Ladder A 26 ft ladder leaning against a wall begins to slide. How fast is the top of the…

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Q: Given the following table with selected values of the linear functions g(x) and h(x), determine the…

A: Topic = Functions

Q: Consider a series circuit consisting of a resistor of R ohms, an inductor of L henries, and variable…

A: Given dIdt+RLI=1LVt I0=0, R=130Ω, L=5H and Vt=10 V

Q: dy Find for y = dr dy dr || r J√3 + 0 3 + 4t2 dt.

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Q: A sector with central angle ? is cut from a circle of radius R = 18 inches (see figure), and the…

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Q: (3) (3) (4) h. y = sin(x² + 1) i. y = 3e4x5 j. y = In√5x3+4

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Q: Given the graph of ƒ' (x) below, where the Dom f (x) = (-∞, ∞) . Find ALL interval(s) for which f""…

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Q: Evaluate the iterated integral by converting to polar coordinates IT Sxy dydx

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Q: 3. Find all values of in the interval [0,2r] that satisfy the given equations. Your answer(s) must…

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Q: the x-values (if any) at which is not continuous. Which of the discontinuities are removable? (If an…

A: Topic:- limits and continuity

Q: Find the Tangent vector, the Normal vector, and the Binormal vector (T, N and B) for the curve r(t)…

A: This question can be solved using the concept of vectors and derivatives.

Q: a). i) Find the exact length of the curve y = 1/² + 1/ ²15x52 2, 6x ii) Find the exact area of the…

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Q: Rewrite the following quadratic function in standard (vertex) form. f(x) = 2x² + 12x +16 Enter exact…

A: We will solve.

Q: i) Find the exact length of the curve 1 + 15 4x3 y = y = ii) Find the exact area of the surface…

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Q: Find the domain of function = 2x² 2 e f(x 0

A: We need to find domain.

Q: Specify the substitution you would choose to evaluate the integrals. S (t + 4) e²+8+1 dt Ou=t+4…

A: The given integral is ∫t+4et2+8t+1dt. We have to find substitution for the integral.

Q: (в Consider the integral f sin ¹x dx. If we let u = sin ¹x and dv=dx, the integral can be written as…

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Q: a) Find the local maximum and minimum value(s) (if it exists) of the function f(x, y) = 4x + 6y - x²…

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Q: The bones of a newly discovered dinosaur weigh 170 pounds and measure 9 feet, with a 6-inch claw on…

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Q: The graph of the rational function f(x) is shown below. Using the graph, determine which of the…

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Q: 1. Determine the interval of convergence for the series: 27 3 9 3x + 3x² + 2. Find a general…

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Q: 5. Answers (in progress) In problems below, (a) identify the independent variable (use 't' for the…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Find the following for the given equation. r(t) = (e-t, 2t², 8 tan(t)) (a) r(t) = (b) r"(t) = (c)…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: In problems below, (a) identify the independent variable (use 't' for the independent variable if an…

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Q: Calculate the integral, assuming that fo f(x) dx = -4, f f(x) dx = 4, f f(x) dx = 7. (Use symbolic…

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Q: Solve the initial-value problem with the initial condition y0 = 0. dy dt = y − 1 y =     Graph the…

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Q: Evaluate the integral using an appropriate method. T/3 x sin(3x) dx

A: ∫0π3x sin(x)dx

Q: Find the limit of the transcendental function. tan (7) lim tan X-17

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Q: Evaluate the line integral, where C is the given curve. [x² x sin(y) ds, C is the line segment from…

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Q: The directional derivative of f(x, y) = ln(xy) + x² at the point (-1, 1) in the direction of from…

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Q: Shown to the right is a certain population, in billions, for seven selected years from 1950 through…

A: Solution of given question is written in below steps.