Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. 3. f(x) = 4x; [-5,3]

Q: + Find the first five non-zero terms of the Taylor series for f(x) = sin(2x) centered at 4π. + + +…

A: We find the first five non-zero terms of the Taylor series for  f(x) = sin(2x) centered at a = 4π as…

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Q: Prove that if a and b are both positive, then y(x)⭢0 as x⭢∞ for all sloutions y of the question

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Q: 2 1- Sº°₁ Sº √1−x²-1+ √x²+2 2- So² So (x² + y²)dx dy

A: Step 1:Step 2:

Q: 15. Find the exact value. (a) log4 16 (b) log7 1 49 (c) logs 3/25

A: Step 1:Step 2: Step 3:  if you have any related queries, feel free to ask !!! Step 4: thankyou 🙏💛

Q: Question 3 Starting at the point (0, −2,0), I walk up the hill z = 4-x² — y². The projection of my…

A: Given:Surface equation:  z=4−x2−y2 Projection of the path on the xy-plane:  y=2x−2 Starting point:…

Q: 3.9 (A/B). A beam ABCDE, with A on the left, is 7 m long and is simply supported at Band E. The…

A: Step 1:Step 2:Step 3:

Q: please show all the work

A: Part (a): Calculate the derivative of g(x) = ln(x2+ 4x + 7) We can use the chain rule to find the…

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A: Solve this question step by step with full calculations.

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A: If you have any help please let me know in comment box thankyou.

Q: For the system consisting of the two planes:plane 1: -x + y + z = 0plane 2: 3x + y + 3z = 0a) Are…

A: Given system of two planes: Plane 1: −x+y+z=0 Plane 2: 3x+y+3z=0   Part (a): Checking if the Planes…

Q: 3:59 m s ☑ D'Aniello Boutique | Fashion VOLTE danielloboutique.it/asia SUBSCRIBE NOW: 10% OFF TO USE…

A: D'Aniello Boutique, your fashion curation continues to set a remarkable standard in modern luxury.…

Q: Fig. 4.22. Problems 4.1 (A). Determine the second moments of area about the axes XX for the sections…

A: Detailed explanation:NOTE:- 106 mm4  = 10-6 m4

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Q: Solve y"-2y+26y= 0, y(0) = 2, y'(0) = -13 y(t) =

A: Rewrite the differential equation into its characteristic equation and solve for the…

Q: 5. A trial solution for the non-homogeneous equation y′′ + y′ − 2y = e^x isA. Ae^x B. Ae^x+ Be^−2x…

A: To find the trial solution for the non-homogeneous differential equation y'' + y' - 2y = e^x, we…

Q: 1. Find all values x=a where the function is discontinuous, determine if the discontinuity is…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Write an equation for the polynomial graphed below 5+ 4 - 3 2 1 + + -5 4-3 -2 -1 1 2 3 4 5 -1 -2…

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

Q: 3. Given the function h(x)=(x²+x-12 if x≤1 3-x if x>1' a) Graph the function h(x). Make the graph…

A: Part ABased on the given equation, the graph of the function should look like this: Desmos is used…

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Q: Suppose that f(x, y) = y√√r³ +1 on the domain D = {(x, y) | 0 ≤y≤x≤ 1}. D Then the double integral…

A: Step 1:Step 2: Step 3: Step 4:

Q: Question 4 4 pts 1 Find the average rate of change of g(x) = 2x² + 5 between the points x = -4 and x…

A: To find the average rate of change of  g(x)=2x2+5 between  x=−4 and  x=2, we'll use the formula:…

Q: Find the volume of the region under the surface z = xy² and above the area bounded by x = y² and…

A: Step 1:Step 2: Step 3:  if you have any related queries, feel free to ask !!!! Step 4: thanks 🙏💛

Q: (10 points) Let S be the upper hemisphere of the unit sphere x² + y²+2² = 1. Let F(x, y, z) = (x, y,…

A: Let's solve the surface integral  ∫S​F⋅dS where: S  is the upper hemisphere of the unit sphere…

Q: Given f(x)=1/x-1 and g(x)=1/x+3, the domain of f(g(x)) in interval notation.

A: To find the domain of the composite function f(g(x)), we need to determine all values of x for which…

Q: (a) Use differentiation to find a power series representation for 1 f(x) = (4 + x)²* f(x) = 00 Σ n =…

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Q: 3. Determine the appropriate annihilator for the given F(x). a) F(x) = 5 cos 2x b) F(x)=9x2e3x

A: Concept of Annihilators An annihilator is a differential operator that, when applied to a function,…

Q: 6 pts 1 Details 3 Find a formula for the exponential function passing through the points -3, and…

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Q: Calculus lll  May I please have the solutions for the following blank lines? Thank you,

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

Q: Question 1: Evaluate the following indefinite integrals. a) (5 points) sin(2x) 1 + cos² (x) dx b) (5…

A: (a) ∫1+cos2(x)sin(2x)​dx Step 1: Substituting u = 1 + cos2(x)Let: u=1+cos2(x). Now, differentiate…

Q: 3. For each of the arrow or quiver graphs shown below, determine analytically V°C and V X Č. From…

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Q: H.w WI M Wz A Sindax Sind dy max Утах at 0.75m from A w=6KN/M L=2 W2=9 KN/m P= 10 KN B Make the…

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Q: Find the differential of the function f(x, y) = −8x√y at the point (1,3) using Ax = 0.25 and Ay =…

A: Step 1: Compute the Differential dzThe differential formula…

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: 11 fr² Find√² du In(x+u)

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Q: 1. Find the formula to the polynomial at right. Show all your work. (4 points) 1- 2 3 сл 5 6 -4 -3…

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Q: The expression 3 | (3+1/+1) of the following integrals? A Ов E + + + + 18 3+1+1 3++1 3++1 (A) √2×14…

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Q: Let z(x, y) = -3x² + 8y² where x = 4s + 2t & y = −5s - 8t. Calculate მ მ მე მყ მეთ მყ & by first…

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

Q: Evaluate the following integrals, showing all your working

A: Step 1:Step 2: Step 3: Step 4:

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Q: A cable runs along the wall from C to P at a cost of $24 per meter, and straight from P to M at a…

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Q: 2. Suppose a LC circuit has the following differential equation: q'+4q=6etcos 4t, q(0) = 1 a. Find…

A: Step 1: We are given the differential equation for the charge q(t) in an LC circuit:…

Q: 2. Find the leading term (2 points): f(x) = −3x(2x − 1)²(x+3)³ -

A: We find the leading term of the function:  f(x)=−3x(2x−1)2(x+3)3 Step 1: Find the Leading Term of…

Q: 4. Given the following information determine the appropriate trial solution to find yp. Do not solve…

A: Step 1: Step 2: Step 3: Step 4:

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

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