1 Let f(x)=8x³ - 15x²-2, x2 1.5. Find the value of at the point x = 2007 = f(7). df dx

Q: Consider the following function and given interval. f(x) = 2√x, [4, 9] Is f(x) continuous on the…

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Q: Find the first three nonzero terms of the Maclaurin series for the function. 2 (1²x) f(x) = - cosx-

A: f(x)=−cos⁡x−(21−x)A Maclaurin series is given by f(x)=∑k=0∞f(k)(a)k!xk

Q: 2. ₁²√xydydx = ²√xdx √ydy

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Q: dy dx = general solution of :- - 2 Sec 3x tan 3 X

A: dy/dx=sec2tan3x

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: Without eliminating the parameter, find 1 2-80-2 -t⁹. = = 9 d²y dx² at t = 2

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Q: Write the product of complex numbers in the form a + bi. (3 + 3i)(2 + 3i) i (6 — 2/)² = 8 i(1.4 +…

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Q: You now have access to the data for the research project. In this experiment, some cells have been…

A: From the  given statement.

Q: 1 Evalvate the following integrals (use method of integration by parts): 2 (₁) S (sinth) ² dre

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Q: Find the maximum value of the function z = 5x + 7y subject to the following constraints. x+8y≤48…

A: The given objective function Subject to

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Q: Find the general Solution For D-E y + y tanx = [cos²x]y'

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Q: olve the following integration:- 2 x² + 3 x(x-2)(x-6) ² dx

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Q: Sketch the graph of f(x) = 2x + 3 on the interval [0,4]. Choose the correct graph below. A. Ay OB.

A: Here, We need to find the graph of the given equation f(x)=2x+4 in Interval [0,4]

Q: Question 4.21) Evaluate the following limits. sin² (1)-1 1-4 A) lim 2/2+1 B) lim x-0 Question 4.22)…

A: a) limx-infinity x[arc(tanx)-pi/2]According to Bartleby guidelines we solve only one question repost…

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Q: We turn now to the problem of finding area under a curve. Suppose we want to find the area between…

A: As per guidelines we can solve only 3 subparts if multiple subparts are posted. So I am solving…

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Q: Use the ratio test to determine whether an+1 lim n→∞ an (a) Find the ratio of successive terms.…

A: Consider the series

Q: Suppose an> 0 for n≥1 and lim wan = 1 n-x What can you conclude regarding Σα1 an? n=1 The series…

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Q: Find the general Solution For D- E dy dx ty cotx= 5 cosx

A: Given to solve DE +ycotx=5e^cosx

Q: a) The rectangles in the graph below illustrate a ? The value of this Riemann sum is 0 and this…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the…

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Q: Solve the following integration :- 3 S sin³x Sin³x cośx dx

A: The given integration is

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A: We have given the graph of f(x).The graph of the function y=-f(x) is the mirror image of the graph…

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Q: The velocity graph of a braking car is shown. Use it to estimate the distance, d traveled by the car…

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Q: integral, state the number the integration for tegral. (Do not evaluate the integral.) 1 x²(9x - 8)…

A: Given: To find: evaluate the integral.

Q: PLEASE PLEASE HELP ME WITH THIS QUESTION, The x y-coordinate plane is given. The curve starts at the…

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Q: Find the general Solution For D-E dy dx +y secx = COSX

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Q: Find all functions f(x) such that 7x f'(x) - and f (0)

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Q: Find the radius of convergence, R, of the series. R = 00 Ё хоп n = 2n (In(n))7 Find the interval, I,…

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Q: Find an equation of the line tangent to the following curve at the given point 11x 6 y = 1+ sin 0…

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Q: local minima occur on the function, enter in the appropriate box. f(x) = - 23 - 4x² +15x-8 3

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Find the radius of convergence, R, of the series. R = xбn n=2 n(In(n)) Find the interval, I, of…

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Q: Find the derivative of the given function. f(x) = e6 sin(x) 6 sin(x) cos(x) f'(x)= 6e What is the…

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Q: elow, we see a region bounded by two curves. (graph not necessarily to scale)

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Q: Given that /1 3 - 3م = ex dx + (ی - آe)3 - e, use this result to evaluate 3 3ex + 4 dx.

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Q: Given F = xi + yj + 2z k and assume that N is the outward directed normal field to the surface S…

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Q: Solve the following integration :- 5 (x-3) (x+5) (x-2) dx

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Q: f(x) = x2 + 2ax+ 2 si 4 si ba +1 si x≤-1 -1 <z <3 z≥ 3

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Q: *Find the general solution of:- dy dx =x√2x + 1 1

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Q: Find the general Solution For D-E Sin2x dx - 3¹² cos ²x dy = 3y³ 2 =O

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Q: 2. Prove that (₁ + ²)" is convergent by using the Monotone Convergence Theorem.

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Q: Please show steps. Derive the Laplace Transform of the function f(t) = t² (recall that the Laplace…

A: The given function is  To find:-The Laplace Transform of the given function