3. a) Determine the slope of the function, h(x) = 4sinx at x =

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

A:

Q: Remember that we are looking for the value of the initial velocity, v(0), if the maximum height is…

A: topic- equations

Q: Determine the largest interval that pλ must lie in to approximate p with a relative error of at most…

A: 3. Determine the largest interval that pλ must lie in to approximate p with a relative error of at…

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A:

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A:

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A:

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Q: If a rock is dropped from a height of 45 ft, its poistion t seconds after it is dropped until it…

A:

Q: 21. Determine the value of k so that i = [- 5,k, 3] and i = [1,2, – 7] are orthogonal.

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Q: Let T10 (x): be the Taylor polynomial of degree 10 of the function f(x) = In(1+ x) at a = 0. Suppose…

A: The possible value of x for which this approximation is within 0.001 of the right answer is 0 < x…

Q: 19. A video store sells DVD movies and video games. Suppose 68 movies are sold at $25 each and 43…

A: Here given that 68 movies and 43 video games and the prices are $25 and $54 respectively.

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

A:

Q: e. An apple orchard now has 80 trees per hectare and the average yield is 400 apples per tree. For…

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Q: how the following series is conditionally co -(-1)" Wi

A: Given

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A:

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'…

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Q: find the area bounded Curve y=V+5, line X=-- 6

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Q: 1. Prove the following identity: sec(0)-sin(0) sin? 0 %D tan(0)+cot(0)

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Q: Determine a minimum radius of convergence of a power series solution about x 2 to (x2 + x)y" + 3y' –…

A: We can solve as follows

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A: We have to find if the series converges or diverges.

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

A:

Q: The series 32n-54-1 -2n is n=1 Select one: O a. is a divergent geometric series. O b. is divergent…

A: This question can be solved using the concept of ratio test for convergence and divergence.

Q: Evaluate the integral sin(t)dt

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Q: A stone is thrown straight up from the edge of a roof, 950 feet above the ground, at a speed of 12…

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Q: 25. Find the intersection of the line [x, y, 2] = [1,4, – 2] + 1(1, – 1,3] and the plane 2r – 4y +…

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Q: 2 3 To find the blue shaded area above, we would calculate: f(x)dx = area

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Q: Find the radius of convergence, R, of the series. 00 (x - 9)" "ח n= 1 R = Find the interval, I, of…

A: Use power series concept

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: Find the general solution of the second-order differential equation: 4y" – 4y' + 13y = 0.

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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: 25 18 f(x)dx f(2)dæ = / f(x)dx - 10 where a = and b =

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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…

Q: Find the derivative of the function. 4 - 4x – x2 f(x) x2 - 6 — 4х — 2 - -1+ f'(x) = -x – 6

A:

Q: Step 2 We have found that the velocity of the object thrown upward has the general solution v(t) =…

A: topic - equations

Q: Is the area under the curve y (Inx)/x from X-1 to X=x finite? If so, what is it?

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Q: Find the volume of the solid that results when the region enclosed by the given curves y = e-2x, y =…

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Q: If an alternating series is not convergent then it is divergent. Select one: O True O False

A: We can find the answer as below.

Q: Find the volume of the solid that results when the region bounded by y = Vā ,y = 0 and æ = 4 is…

A: Volume

Q: Find the general solution of the differential equation and check the result by differentiation. dy =…

A: The given differential equation,     dydt=16t7

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Q: Find the Taylor polynomial of order 3 generated by x at a f(x) 1 a = 0 x+6*

A: Solve the following

Q: Find the general solution of the differential equation and check the result by differentiation. dy =…

A:

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) & B(-3,-7)

Q: An object weighing 1000 pounds sinks in water starting from rest. Two forces act on it, a buoyant…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 12 fe) = [, (; - )". dt…

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Q: | cos ) sin(x) dx

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Q: Calculus Question

A: Given query is to find the number of truck required.

Q: 5) Find cos (20) if tan @) =Ž and e is in quadrant 3.

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Q: A producer has determined that the revenue generated from the production and sale of x units of a…

A: what interval(s) of production is the revenue increasing and for what interval(s) is it decreasing?

Q: If f(x)=-(x² – 4), find (a) The x-intercept and the y-intercept (b) The interval where the function…

A: