28. Using the method of "First Principles" and showing all steps, determine the -3 2x-1 properly simplified derivative of the function f(x) = =

Q: A) estimate the area of the graph of f(x) = 25 - x² From x=0 to x=5 using approximating rectangles…

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Q: 3+2=?

A: What is the value of 3+2

Q: CHECKPOINT 1.22 Find the net displacement and total distance traveled in meters given the velocity…

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Q: Graph the function. m (x) = -3 X for -3 <x<-2 for -2<x<2 -x²+4 for x ≥ 2

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Q: Consider the function f(x) = 8x³ - 6x² + 3x - 8. An antiderivative of f(x) is F(x) = Axª + Bx³ +…

A: We know that integration power rule is - Integration of xn is xn+1/n+1 +C. Here C is integration…

Q: The triple integral ³(12xze²y²) dxdydz is equal to 3(e − 1) False O K True

A: Solution given below

Q: Find the total area of the shaded regions. (-3,36) -6 ₂ Ау 40 32- 24- 16- 8- -8- y=4x (3,36) y=x 5x…

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Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z + 6 = 0 is 3.7 False True O O

A: We can answer the question in the following steps using the required formula.

Q: Moving to another question will save this response. Question 5 A bacterial culture triples in…

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Q: (a) h(x) = x^√√x² +1 (b) f(x) = (3x² - 2x+1)³(x¹ -2r²- 3)² 4 (c) g(x) = (3-4) ¹ 5x+7

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Q: 1.5(8x³ − 6x² + 12x - - 9)dx

A: Using the formula of integration x^n

Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had…

A: Here is the solution:

Q: 2. Factor. a) x² 18x + 81 b) x² - 2x - 15 c) x² + 2x - 24 d) x² + 6x-40 e) x²+x-30 f) x² + 3x-35 g)…

A: Please follow the next step.

Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z+ 6 = 0 is 3.7 True O False

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Q: The z-transform of [n] = u[-n] is

A: Using Z transform

Q: Find the area of the region bounded by y² = 8x and y = 2x. A. 1.22 sq. units B. 1.33 sq. units C.…

A: We have given two curve in above problem. We have to find area between them

Q: dr/dt = -2tr, r(0) = ro

A: Solving the differential equation

Q: Evaluate the following integral using inversion of order: of a dyda

A: Solution given below

Q: find the general solution (x + yex) dx-xexdy=0

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Q: AXB=[% O O O O O Given the following matrices A-B-²3³] [8 12-241 So 16 24 -48 a. a=6, b=6 Ob. a= -6,…

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Q: 5. Solve by using power series: y' = xy. Find the recurrence relation and compute the first 33…

A: To solve using power series.

Q: Evaluate the following integral: f²f₂f²x+yz dxdydz 24

A: Due to some technical inconvenience I cannot type this answer in Math type I am providing you the…

Q: The reverse order of ² sinx cos² dxdy is ² ² ½ sinx cos² dydx y x False O True O

A:

Q: Use the washer method to determine the volume of the solid formed when the region bounded by y = x…

A: Solution given below

Q: 11790 round of to nearest 10s And hundreds??

A: 11790 round of to nearest 10s And hundreds??

Q: Evaluate the integral. 7/4 O [(10sect)i-(3+ sin t)j - (2sec t tan t)k)]dt (2√√2-37-4 2 10i + O 10i +…

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Q: Use the Midpoint Rule with = 4 to approximate 0 tan x dx.

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Q: T.

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Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

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Q: 100 The value of p for the series Ση=1 2n | n! by using ratio test is -1 8 N 2 0 1 O

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Q: Let a be a real number. Evaluate the following integral: Sofyx + y dxdy y-1

A: This question is related to double integration, we will solve it using given information.

Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 8 O 6 None of them O 2 O 4 O

A: In this question, we want to compute the length of the curve.

Q: S x²(In x)²dx

A: We can solve the integration as below using integration by-parts.

Q: y' = x - 4xy

A:

Q: Find an explicit solution of the given initial-value problem. 1 y(4) = 4 y = dy dx = y² x² - - 1

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Q: A company determines that its revenue function is given by R(q)=−0.4q^2+2457q and that its cost…

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Q: 7. Tammy is golfing. She wants to drive her ball from the tee to the hole that lies due east.…

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Q: 1. Hint: Horizontal/Slant Asymptotes Rules. Let n be the degree of the numerator and m the degree of…

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Q: Evaluate the following integral using inversion of order: of 2³ dydx Remember to show complete…

A: Given integral ∫01∫x3x2 x5  dy dx

Q: Here are some patterns made from sticks. 8 8 Pattern 1 Pattern 2 a) Complete this table. Pattern…

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Q: Q21 Choose true or false from the following sentences:- Matrix has only one row call Row Matrix.…

A: we need to tell whether given statements are true or not

Q: 46×12

A: Find value of 46×12

Q: The function f(x) f(x) = Σ car". 72=0 C1 = C2 = = Find the first few coefficients in the power…

A:

Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 2 6 2 O 8 O 4 O None of them O

A: The objective of the question is determine the length of the curve given in polar form.

Q: If 2 [². then is equal to f(x)dx = 5 and Select one: O 15 O-5 O 10 none of the others -10 5 [³ 5 1₂…

A: We can find the correct option as below.

Q: 1.4 = 0.9062 x Cos (1-√³x) dx = 0-6034 How?

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Q: Let à = (1, − 1, — 5) and 6 = ( – 5,0,− 1). Find the projection of b onto a. proj¡ b = >

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Q: Find h'(x) when h(x) = (3x + 1)³, then evaluate h'(x) at the point (1,64)

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Q: Use implicit differentiation to find the slope of the tangent line to the curve 9xy³ + Sxy=14 at…

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