Rewrite the product as a sum or difference. sin(-x) sin(3x)

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Q: if t ß (-2t + 1 h(t) = {t² 2+1

A: Topic:- limit and continuity

Q: 7 p(x) = Vy7 – 2 Given the expression - Is this mathematical expression stated correctly. Select…

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Q: Use the limit definition of the derivative to compute the equation of the tangent line of f (x) =…

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Q: Which of the following statement(s) is/are true? Select one or more: O a. None of the other options.…

A: From the given statements, we have to find the true statements.

Q: The double integral R f(x, y) dA over the region R = {(x, y)| – 2 <x< 2, x² – 8 < y < -x²} can be…

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Q: The vector parametric form of the tangent line to r(t) = (3t², ¿, t – 1) at t = -5 is

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Q: If you are asked to find the indefinite integral of f(x) = x ln(x), and you are told to integrate by…

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Q: Consider a quadratic function f(x) = ax?+ bx + c, where a, b, CER and a # 0. She hat the tangent…

A: f(x)=ax2+bx+climit definition of derivative states that :f'(x) =limh→0f(x+h)-f(x)hf'(x) =limh→0…

Q: a)Use the second derivative test to determine whether the function has a local maximum or local…

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Q: The function g (x) is defined as follows: 2x - k 16x - 21 2x Xs 1 1 3 9(x) = a) Find the value of k…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Compute Ay and dy for the given values of x and dx = Ax. (Round your answers to three decimal…

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Q: 4+6 n i) The sequence {- -} is bounded by 6 n <n< ii) The 20 th. element of this sequence is

A: We can solve as follows

Q: The figure below shows f(x) and its local linearization at x = a, y = 5x 2. (The - local…

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Q: Consider the function below. f(x) = In(6 – In x) (a) Find the vertical asymptote(s). (Enter your…

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Q: 5. The graph of f (x) is shown in the figure. Let YA y = f(t) A(x) = f f(t) dt F(x) = f(t) dt Area =…

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Q: 2. Suppose that the triangle with vertices (-1,–1), (0, 1) and (1, –1) is revolved about the y –…

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Q: Consider the function f(T,y)= kr - 2xy + y?. %3D 1. Show that (0, 0) is a critical point of f(T, y).…

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Q: Question Given the triangle below, find the angle 0. 19 10 Give your answer in radians rounded to…

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Q: Given the differential equation y' = 6 x y and y(0) = 10 and its next few implicit derivatives y" =…

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Q: Find an equation of the hyperbola having foci at (8, - 2) and (12, -2) and vertices at (9, - 2) and…

A: Here we have to find the equation of hyperbola having foci at (8,-2) and (12,-2) and Vertices at…

Q: Plot the following functions over the defined

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Q: y" + 2y' + 2y = 0, y(0) = 0, y'(0) = 15, %3D + 25y = 0, y(0) = 4.6, y'(0) = -1.2 %3D %3D

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Q: f(x) = 10/10x³ + 6x*

A: Follow the procedure given below.

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Q: Mary Katherine has a bag of 3 red apples, 5 yellow apples and 4 green.apples. Mary takes a red apple…

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Q: 9:21 p.m.

A: The restaurant at the top of the space Needle in Seattle, Washington is circular and has a radius of…

Q: x =t° +1, y= t -t d'y b) Find dx? Show all your work.

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Q: O b. 5/6

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Q: Construct an appropriate triangle to complete the table. (0° ses 90°, 0S@ST/2) Function e (deg) e…

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Q: Liaed the Residuesof fucation coske)

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Q: 4x2 + 21x + 54 dx x² + 6x + 13

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Q: Return Submit 40 year population (millions) 39 2010 36.5 38 2011 37.7 37 2012 38.2 A 2010 2011 2012…

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Q: Find f if f'(x)=2cosx+3x^2 +5/1+x^2 and f(0)=-1

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Q: View Policies Current Attempt in Progress Find a differential equation whose general solution -2t y…

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Q: an+1 If lim then the series > an an n=15 may or may not converge. Not enough information. converges…

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Q: Use logarithmic differentiation to find the derivative of the function. y = (sin(6x))*

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Q: Find the absolute maximum and minimum values of f(x) = -(x² + x) interval [-3, 4]. over the absolute…

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Q: In a certain bacteria culture the rate of increase in a number of bacteria proportional to the…

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Q: Find the intersection of the following pair of lines. Classify the system - if there is no…

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Q: 5. harmonic oscillator is The initial value problem which describes the motion of a certain undamped…

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Q: y" + 1.8y' – 2.08y = 0

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Find the exact arc length of y =÷x' – 1 - In x over [1, 2]. Show All Your Work 2 4

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Q: Use the transformation u = 3x + y, v=x+3y to evaluate the given integral for the region R bounded by…

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Q: Use the requested method to approximate the definite ir Use the method of left Riemann sum with n =…

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Q: If 0 = then %3D sin(e) = cos(0) = CO: !3! Give exact values. No decimals allowed! V2 With functions…

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Q: 4. Find the critical points of each function and use the Second Derivative Test to classify the…

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Q: Consider the function f(T,y)= kr - 2xy + y?. %3D 1. Show that (0, 0) is a critical point of f(T, y).…

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Q: A tank initially contains 100L of brine in which there dissolved 20kg of salt. Pure water flows into…

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