Use right and left endpoints and the given number of rectangles to find bwo approximations of the area of the region between the graph of the function and the x-axis over the given interval. x) - 2x + 6, [0, 21, 4 rectangles

Q: BASIC CALCULUS 1. The line segment from (1,–1,3) to (0, –3,1) forms a diameter of the sphere S1.…

A: Given , end point of diameter of sphere A(1,-1,3) and B(0,-3,1). First we need to find centre of the…

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A: Initial value problem: An initial value problem (IVP) in multivariable calculus is an ordinary…

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Q: Test for convergence or divergence, using one of the tests listed below. 1 1 n + 5 n + 6 n = 1…

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Q: 2x2 -9x Find the limits and justify if needed. 12. lim x² – 1 X-

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Q: d the area of the region bounded by the curves y = 3x and y = x².

A: Given query is to find area bounded by the curves.

Q: Find the area of the region bounded by y = 34(x + 2), x = 2 and the x-axis. %3D Answer:

A: Given query is to find the area under the curve.

Q: For what value(s) does the graph of y=3x5 + 10x4 have an infliction? A. 0 and -2 B. -8/3 only C.…

A: An inflection point is a point on the graph at which the second derivative is equal to zero or…

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A: Topic = Geometry

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A: Use limit concept

Q: 7. Find the constant a, such that the function is continuous on the entire real line. [x+3, f(x) = x…

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Q: 6. 2y²e»² dx + 2xye»*dy = 0

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Q: Use Newton's Method to approximate the root of x In r 2 accurate to five decimal places. Begin by…

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Q: 27. In how many ways can each of the following be drawn from a standard deck of 52 cards? three…

A: As per guidelines we can solve only first three sub part of the question. Solution From a standard…

Q: re: Transform the Cartesian equation into a polar equation. Isolate r in your final equation. 3x –…

A: This question is based on conversion of rectangular coordinates to polar coordinates.

Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = 6(x³ - x) g(x) = 0 y 10 f 4 -2 -2…

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Q: Michael has a math test tomorrow. His score is related to the amount of studying he does in…

A: topic - independent and dependent variables

Q: Consider the following series. s (-1)" n = 2 In(3n) Test the series for convergence or divergence…

A: According to bartleby guidelines I can only answer the first three sub-questions of the given…

Q: 9. (Trigonometric Substitution) Let x = 2 sin(0) for 0 < 0 < . Write v4 – x2 as a trigonometric…

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Q: Consider the function f(x) — 6ӕ* — 9a? + 10х — 9. - An antiderivative of f(x) is F(x) = Ax* + Bx³ +…

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Q: A firm estimates that it will sell N units of a product after spending x dollars on advertising,…

A: Given problems:- a) A firm estimates that it will sell N units of a product after spending x on…

Q: Consider the series E (-1)"(3x+6)" . Find the series radius and interval of convergence, n=0

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Q: Demand Function: d(x)= 500-0.6x Supply Function: s(x)= 0.2x Find the Equilibrium quantity= Find…

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Q: 13. Given the points A(3,5) and B(- 3, - 7), find a. the vector equation of the line. b. the…

A: Here, the given points are A(3,5) &amp; B(-3,-7)

Q: Let u = cos(r + y), x = 2st +t and y = t – 2s. Use the chain rule theorem to compute du for du and…

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Q: Find (3+2) - 2i . 406 754 386

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Q: Consider the differential equation y''−2xy'+y=0y′′-2xy′+y=0 subject to y(0)=1y(0)=1 and…

A: Given; y=1+5x-x^2/2+x^3/6 y(.2)=?

Q: Write the equation of the function graphed below.

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Q: Demand for the latest best-seller at OHaganBooks.com, A River Burns through It, is given by q = -p2…

A: This question can be solved using the concept of absolute maximum.

Q: Use the method of cylindrical shells to find the volume of the solid generated by revolving the…

A: We have to find the volume of the given solid.

Q: The probability density function for a continuous random variable X has the form, Find the…

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Q: For each problem, use implicit differentiation to find dy/dx in terms of x and y.

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Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. 00 n2…

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Q: What is the slope of the tangent to the curve y=arctan 4x at x= 1/4 A. -2 B. 0 C. 1/2 D. 2…

A: To find the slope of tangent to the given curve.

Q: 5. u = 2i, v = -3j

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Q: S 2x(ex²+1 – 2x*) dx

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Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: Use derivative for finding the equation of tangent line.

Q: Given the function graphed below, evaluate the definite integrals. 4 3. -1 1 2 3 5 -1 -2 -3 -4 1 |…

A: We have to find the value of the integrals.

Q: Consider the function f(x) = 4x° + 7x³ – 9x? – 1. An antiderivative of f(x) is F(x) Ax" + Bx" + Cx²…

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Q: Find the area under the curve y=sin2x from x=0 to x=3pi/4 A. 2 B. 1/2 C. pi D. 3/2…

A: The curve y=sin2x from x=0 to x=3π4

Q: r = 4 csc(0) – sec(0). Convert to an equation in rectangular coordinates. (Use symbolic notation and…

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Q: Use the product rule to find the derivative of (- 72° – 4x10) (5e² + 4) | Use e^x for e". You do not…

A: This question is related to differentiation, We will solve it using given information.

Q: 1 of 22 Each of the following measurements can be identified as a scalar or a vector. For the…

A: The given data is: For the vector only, which one has the greatest numerical values.

Q: 3. Determine the exact values of the trigonometric functions using the given unit circle below. (a)…

A: We know that on unit circle , x co-ordinate is cosθ and y is a sinθ. Therefore cosθ=-35sinθ=45we…