Given the function graphed below, evaluate the definite integrals. 3 2 1 -1 -2 -3 2 3 [* f(x)dx = | L S² f(x)dx =| + m 6 8 9

Q: Find the derivative of the given function. y= 1 = (8x² + 4x) e¯8 - 8x y' = ☐ (Type an exact answer.)

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Q: 2) We need to maximize ▭, which is the price per seminar ticket times the number of seminar tickets…

A: Now, let's construct the revenue function: Revenue = (number of seminar tickets sold) × (price per…

Q: dx Compute√2+16 dr

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

Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

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Q: 4. 8

A: Let's assume t=e4x−4x, which implies dt=4(e4x−1)dx.So, our integral becomes:41​∫t2dtNow, integrating…

Q: Solutions to question 3 please

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Q: Solutions for question 1(a) please

A: (a)   (b)

Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

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Q: Use Green’s Theorem to evaluate the work from the vector field F(x,y) = 〈-4x2+y2, 2x2+y〉along the…

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Q: Thinking 21. Given x = (2,5), ỷ = (-5, 12) find the scalar projection of x on ỷ. 22. If (-1, 3, 5) x…

A: Step 1:Step 2:Step 3:Step 4:Question 23 aQuestion 23 b

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Q: Write interval notation for the given graph. -10 -9 -8 -6 -5 -3 -2 -1 0 1 2 3 4 The interval…

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Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

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Q: Sketch a graph of the polar equation and find the tangent lines at the pole for 0 ≤ 0<π r = = 3(1 -…

A: Step 1: Analyze the Polar EquationThe equation r = 3(1 - sin(θ)) defines a relationship between the…

Q: Find the general solution of the system with the following equations. dx dy dz = -4y+2z, =x-5y+2,…

A: Step 1: Given system of homogeneous linear ODE's in matrix form : X′=AX,where…

Q: Find and classify the critical points of z = (x² - 2x) (y² – 6y) Local maximums: Local minimums:…

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Q: 5. Determine the end behavior of the given functions. lim f(x)= lim f(x)= 2-90

A: We can see clearly   from the graph       as   x is approaches   to  toward   2 from RHS     the…

Q: Use cylindrical coordinates. Evaluate 2 [S] √x² + y² dV, where E is the region that lies inside the…

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Q: Use partial integration to derive that from image without deriving the right side. Here one can…

A: Let's prove, ∫xtan2xdx=xtanx−21​x2+ln∣cosx∣+C We can use the formula : ∫u dv=uv−∫v du Let's perform…

Q: Find the area of the triangle having the following vertices: M(-2, 3, 0), N(-4, -1, 2), P(0, -3, 2)…

A: Here are the steps to find the area of the triangle with vertices M(-2, 3, 0), N(-4, -1, 2), and…

Q: dy ey sin² Solve the differential equation You may leave your answer in implicit form. de y sec

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Q: Suppose a thin plate is bounded by y=0 , x=0, x=1, and y=e^-x and has areal density of p(x,y)= xy.…

A: To find the center of mass of the thin plate, we need to calculate the moments with respect to the…

Q: Please see image

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Q: Is this correct?

A: Find the area under the curve y=6x²+4x-2 from x=1 to x=2, means:Now:Therefore:∴required area is:A=18…

Q: Solve this problem and provide a detailed explanation with full mathematical steps and reasoning…

A: Distance to the sidewalk from the car d1=17 kmDistance to the entrance from the sidewalk d2=19…

Q: Find the points of intersection of the graphs of the equations. (Enter (0, 0) for the pole.) r = 1 +…

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Q: Find the differential of f(x, y) = √√√x³ + y² at the point (3, 1). df = ☐ Then use the differential…

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

Q: Dave is driving on an American Interstate highway which has a speed limit of 55 mph. At 2 pm he is…

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Q: Use the triangle method to evaluate

A: Step 1: two approch are there either convert into angle individual or try to get a common turm under…

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Q: ample 4.3. Solve the initial value problem y' + y = x³, y(1) = 0. 5. APPLICATIONS X

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Q: Find the integral for the volume of the region inside the sphere x^2+y^2+z^2=9 and outside the cone…

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Q: The area R in the plane is bounded by the curves given by (x = y^2 + 2), (y = x - 4) and (y = 0), as…

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Q: Please do 4

A: 4. (a) To Evaluate: ∫C​x ds, where C is the arc of the parabola y=x2 from (0,0) to (1,1). Let x=t,…

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A: Step 1: Step 2: Step 3: Step 4:

Q: A van starts off 191 miles directly north from the city of Morristown. It travels due east at a…

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Q: 1. (a) Rewrite the following integral as in iterated integral in the order dx dy dz 1-y LEG f(x, y,…

A: References; Mikhlin, S. G. (2020). Linear integral equations. Courier Dover Publications. Tosun, J.,…

Q: 3. Discuss the pros and cons of using tangent line approximations in the two situations you explored…

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Q: Please see image

A: Step 1:Given a0​=16,an+1​=12−an​−412​ a)sol) Now a0​=16&gt;8         an+1​=12−an​−412​Put…

Q: Please do the following questions with full handwritten working out.

A: Step 1: Understand the Problem The problem is asking to prove that if (H) and (K) are finite…

Q: Find the derivative

A: Step 1: Step 2: Step 3: Step 4:

Q: The table below gives for the value of continuous function f at each x-value. Using the Intermediate…

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Q: MAT441 CALCULUS II – PROJECT #5 Evaluate S ex dx. e2x+1 Answer. Step 1: Exercise 3

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Q: For the series below calculate find the number of terms n that must be added in order to find the…

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Q: Find the derivative of y y 3 logs (log: 1) = 1/(t(Int)(In2)) -1/(t(Int)(In2)) ◇ 1/(t(Int)) ○…

A: Step 1:We know that, loga​b=lnalnb​, where ln is the logarithm with the base e]  Step 2:Using this,…

Q: Evaluate the expressions. (a) 3-3.35 = = (b) 2-3.26 =

A: Step 1: Step 2: Step 3: Step 4:

Q: 6. Evaluate the given definite integral using the fundamental theorem of calculus. 1 (a). Sex (4…

A: Step 1: Step 2: Step 3: Step 4:

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

A: Step 1:We know that,  1+x1​=∑n=0∞​(−1)nxn=1−x+x2−x3+x4−....,  which is convergent for ∣x∣&lt;1. Step…

Q: Find F(-4) and F(4).

A: Step 1:Given that, f(t)={41​t2t2​​ifif​−4≤t&lt;00≤t≤4​  F(x)=∫−2x​f(t)dt.  Only need to find F(-4)…