Find the derivative of the function. 54 q(y)=4y² (2y²+1)

Q: 5 2 3. f(x) = 3x3 - 15x3 Find the intervals of increasing, decreasing 4. If xy+cos y, Find

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Q: For the following function, find the full power series centered at x = 0 and then give the first 5…

A: Step 1:    Step 2: Step 3: Step 4:

Q: Suppose the number of people who register to attend the Tucson Festival of Books can be modeled by…

A: The problem is asking us to find the time it will take for the number of people who register to…

Q: #81, #82, #84

A: Graph (81)Graph (82) Graph (83) If you have any questions let me know in the comment box thankyou.

Q: 21. First-Order Constant-Coefficient Equations. a. Substituting y = ert, find the auxiliary equation…

A: a. The given first-order linear differential equation is :ay′+by=0where a and b are constants with…

Q: Do the Laplace Transformation and give the answer in Partial Fractions. Also do the Inverted Laplace…

A: NOTE:-The term "sen" in the given equation refers to the sine function in Spanish and some other…

Q: Number 19. please show work

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Q: Please refer below

A: We find a piecewise function based on the given graph as follows.  Step 1: Identify the segmentsFrom…

Q: Find a vector (u) with magnitude 7 in the direction of v = (2,4) Give EXACT answer. You do NOT have…

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Q: x²-19x+90 Let f(x) = . Complete parts (a) through (c) below. x-a a. For what values of a, if any,…

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Q: 10. Consider the polar equation r = sin² (2) a) Find the (rectangular) equation of the tangent line…

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Q: 17) Evaluate. Sin (x²) dx dy by reversing the order of integration.

A: We are tasked with evaluating the integral:∫01​∫y1​sin(x2)dxdyby reversing the order of integration.…

Q: Given ƒ = (10, -10) and q = (-8, −7), find ||ƒ— q|| and dƒ-9. Give EXACT answers. You do NOT have to…

A: If you have any questions let me know in the comment box thankyou.

Q: answer

A: From the given graph, When we see graph from left to right at x=-2 function is approaching -5 so,…

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: Given, u(−3,2,6), v(4,1,5)Let angle between u and v be θWe know,…

Q: Let f(x) = 4√√ If g(x) is the graph of f(x) shifted up 6 units and right 3 units, write a formula…

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Q: help on this question about Laplace transformation?

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Q: review problem please help!

A: If you have any questions let me know in the comment box thankyou.

Q: Find the exact length of the curve. - x = 5 cos(t) = cos(5t), y = 5 sin(t) - sin(5t), 0 ≤ Z ≤ π

A: We find the exact length of the curve defined parametrically by x(t) and y(t) by using the formula…

Q: In this project, you will use spreadsheet software (either Microsoft Excel or Google Sheets, please)…

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Q: Which degenerate conic is formed when a double cone is sliced through the apex by a plane parallel…

A: The question is asking about the shape that is formed when a double cone is sliced through the apex…

Q: été + Find the area of the surface generated by revolving the curve x= the interval 0 sys In 7 about…

A: Ans page 1:Ans page 2:Ans page 3:

Q: 1. Given the vector field F(x, y, z) = -xi, verify the relation 1 V.F(0,0,0) = lim 0+ volume inside…

A: Step 1:Step 2: Step 3: Step 4:

Q: DETAILS MY NOTES SESSCALCET2 6.3.017. 1. [-/1 Points] Evaluate the integral. - - dy y(y + 2)(y-3)…

A: Step 1:Step 2: Step 3: Step 4:

Q: 4 x+3 and g(x)=x2-9 4X-10 2X --13) The domain of rational expression A) 1R. {-2,-8} AB -14) Let f(x)…

A: Please rate my answer is helpful. I shall be very thankful to you. May God stay bless you…

Q: Question Given the following piecewise function, evaluate lim f(x). x→2 Select the correct answer…

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Q: The graph below is the function f (x) -D -3-2 4 3 2 Q2 03 Find lim f(x) = x-1- Find lim f(x) = x−1+…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the equation of the tangent line to the graph of the given function at the given value of x. 6…

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Q: Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They…

A: Let's solve the problem step by step: Given Data:Force from the truck: F1 ​= 377 lb (along the…

Q: Find the average value gave of the function g on the given interval. gave = g(x) = 8√√x, [8,64] Need…

A: The average value gave​ of the function over the interval [8, 64] is 7180​.

Q: Simpson’s Rule with n = 4 subintervals to estimate the integral of the squre root of x dx with upper…

A: Simpson’s Rule is a numerical method used to approximate the definite integral of a function. It…

Q: In the following exercises, evaluate each definite integral using the Fundamental Theorem of…

A: 170. To evaluate the integralget the antiderivative of each expressionx2 -> x3/3-3x ->…

Q: Find the area of the shaded region. (a) 5- y 3 2- (1,4) (5,0) 1 3 4 5 6 (b) 3 y 2 Decide whether the…

A: First, we need to identify the shape of the shaded region. In part (a), the shaded region is a…

Q: Examples: Solve the following differential equation using Laplace transform (a) y" +2y+y=t with y(0)…

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Q: In some urban locations, if one pollutant is found in the air, we often find others as well. Two…

A: a)To draw a scatterplot, we simply need to plot the points as an ordered pair on a 2D Cartesian…

Q: y"-9y+20y= 80t-156 y(0) = −6, y'(0) = 5 y(t) =

A: Step 1:Step 2:Step 3:Step 4:

Q: chool Which of the following functions describes the graph of g(x)--2√9-x²+37 9 8 7 6 4 2…

A: The given function g(x) = -2√(9-x²) + 37 is a transformation of the basic square root function √x.…

Q: Let f(x) = -5x-1, g(x) = x² + 5, h(x) = · x+4 3 Find (hog of)(1). (hogof)(1)= (Simplify your answer.…

A: We need to find (h∘g∘f)(1) i.e., h(g(f(1)))Step 1: Compute f(1)f(x) = -5x - 1 f(1) = -5(1) - 1 f(1)…

Q: If h(x) = -2x-8 49x2-9 what is lim h(x)? x--00

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Q: 35 Example: Find Fourier integral for 1 0 a

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Q: Estimate the integral of lnx dx with upper bounds of 5 and lower bounds of 1 sing the Trapezoidal…

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Q: Find area of sector for number 14

A: 14.  Asector​=21​r2θr=7.1 cm; θ=5π/3 Asector​=21​(7.1cm)2(35π​)Asector​=131.9730714cm2

Q: Given the graph of f(x) below. Determine the average rate of change of f(x) from x = 1 to x = 6.…

A: We have to determine the average rate of change of f(x) from  x=1 to x=6 by using the given graph of…

Q: #70

A: We evaluate the integral:  ∫x3x4−6x2−7​dx  Step 1: Simplify the integrand Divide each term in the…

Q: find three soultion independed by lagrang 2x (y + z²)p + y(2y + z²)q = Z³

A: Let's give it a try. To provide precise answer, I believe further reference is necessary, but I will…

Q: 2. if limit. Recall that a sequence (x(n)) CR2 converges to the limit x = R² lim ||x(n)x|| = 0. 818…

A: Approach to solving the question:(i) Prove that a convergent sequence  (xn​) has at most one…

Q: • -7 10 1.0 (2 - x) for 0 < x < 2, Let f(x) = for 2< x < 6. Compute the Fourier cosine coefficients…

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Q: 1. (i) Give the definition of a metric on a set X. [5 Marks] (ii) Let X = {a, b, c} and let a…

A: Step 1:   A metric (or distance function) on a set X is a function  d:X×X→[0,∞)  that satisfies the…

Q: B 2- The figure gives four points and some corresponding rays in the xy-plane. Which of the…

A: Option A: Correct: OC is the initial ray (positive x-axis), and OB is in the second quadrant. The…

Q: (4) (8 points) (a) (2 points) Write down a normal vector n for the plane P given by the equation…

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