State the domain and range: -15. -10 -5 -10- LO 5 0 -5- 5

Q: (1+x²)y' + 2xy = (1+x²)y

A: Given problem:- 1+x2y'+2xy=11+x2y

Q: annat pe 4 panda 40 god = mode O xp (9 − xx + ₂x) J rester auf dienser og ressatur aut to conflittop…

A: ∫24x2+3x-6dx=∫24x2dx+3∫24xdx-6∫24dx

Q: Find the length of the given curve: where -4 < t ≤1. r(t) = (-2t, 2 sin t, 2 cos t)

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Q: Test 8 2k √k for convergence

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Q: Graph the equations and shade the area of the region between the curves. Determine its area by…

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Q: On the line y = 2x + 1, what value of Δy corresponds to Δx = 3? Δy =

A: y=2x+1 We have to find ∆y corresponding to ∆x=3.

Q: If f(x) = 2x². -x-2 and g(x) = x + 2, then fog and go f may be expressed as f(g(x)) = ax + 3x +y and…

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Q: A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or…

A: Here is the solution:

Q: it a rock is dropped from a height of 288 ft, its poistion t seconds after it is dropped until it…

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Q: Calculate S√4-x² dx

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Q: Use spherical coordinates to calculate the triple integral of f(x, y, z) = x2 + y + zz over the…

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Q: The derivative of f(x)=- Select one: O a. O b. O C. O d. cos x-sin x x² x cos x -sin x X x cos x +…

A: The objective of the question is determine the derivative of the given function and choose the…

Q: Find F as a function of x and evaluate it at x = 0, x = 7/4, and x = 7/2. 1-² sin € F(x) = F(0) =…

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Q: The function f(x) has a domain of [-9, 9] and is plotted below such that the porti of the graph on…

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Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to…

A: The given sum is ∑i=164i+5

Q: QUESTION 7 Evaluate the double integral. FS= 3xy 2 RX²+1 OA. 8 3 OB. 16ln (2) OC. 8ln (2) OD. 16 3…

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Q: 150 5 -4 -2 100 50 -50 -100 -150 200! 2 4 6 8 Xx

A: We know that, The highest point the graph ever reaches is the absolute maximum. The lowest point the…

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: To give the solution with proper explanation for the given problem. To find the indefinite integral…

Q: 3. A particle moves along the x-axis with velocity v(t) = t2-1, with t measured in seconds and v(t)…

A: Given velocity v(t)=t2-1 To get the total distance traveled, we have to integrate the velocity…

Q: -6-5-4-3-2-1 у 6 5 4 3 2 1 -1 -2- -3 -4 -5 -6 7 123 456 X

A: To find the range of the given graph.

Q: 3 3 3 2 (49) (+91 i- -74+ i n n n integral, that is provide a, b and f(x) in the expression f(x)dx.…

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Q: The graph of g' is given below: W Notice this is the graph of the derivative of g not the graph of g…

A: Observe the given graph and answer the each part.

Q: y=x5, mn=-1/80

A: Given problem:- Find the equation of the line normal to a given curve y=x5 and having a given slope…

Q: kmarks Window Help 0 -7- The graph of f(x) is given below. Which of the three conditions for…

A: Given qiestion:- The graph of the f(x) is given below. Which of the three conditions for continuity…

Q: C. Domain Range D. Domain Range

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Q: Find the extrelne values of the function f(x,y)=4x2+ 7y2, on the circle x² + y²=1.

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Q: if / 2³3 rsin rda -x³ cos x + 3x² sin x + 6x cos x Oxsin x O cos x sin x X COS X = 6 ƒ ƒ(x)dx, then…

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Q: 1₂ O 2² x² + x2° In | co - 3 2 O O None of the choices O +∞ dx In 2

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Q: Σ(-1)^+¹ Test k=1 1 for absolute/conditional convergence

A: The given series: ∑k=1∞-1k+11k5 .We need to test for absolute onvergence and conditional…

Q: -10 -5 f(x) 10 10 5 10

A: Note: Since the student has posted 2 sub-parts of the question in which the part (1) is complete and…

Q: Find the average value of the given function from x=0 to x=1. Sketch graph of the function, roughly…

A: Average value of a function y=f(x)  from x=a to x=b is given by Aavg=1b-a∫x=ax=bf(x)dxsee below the…

Q: Let R be the shaded region bounded between the curves y = x^1/3 (equivalently y^3= x) and 4y =…

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Q: Evaluate the integral (2x + 4) (2² + 4x + 2) dz by making the substitution = x² + 4x + 2. Submit…

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Q: 3 Compute the rotated area bounded by x = y, x = 8 and x-axis about y-axis

A: Please note that as mentioned only the last question is solved.

Q: Evaluate ſ F . n dS if F = (x + y² ™)ī − (2x)j + (2yz)k and $ is the surface of the plane 2x + y +…

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Q: Determine the exact solutions to cos: O ○ 0=160=² ○ 0-5,0- 7x 0= 6 6 O O 0 7x 6 5x 6 R 0= =,0= 6 11x…

A: We can answer the question in the following steps.

Q: from X-TT to x=3TT/2

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Q: 53. y' - y = ex/y

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Q: ∞ 1.00 8e- dx = (If the integral diverges to ∞ or -∞, type oo or -oo; if the integral diverges in…

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Q: = { x + 15 X C(x) = if x < 100 if x ≥ 100

A: Topic:- function

Q: A wooden artifact from an ancient tomb contains 60 percent of the carbon-14 that is present in…

A: Please refer to the image below

Q: 7л Determine the exact value of cot 6

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Q: Obtain the General Solution of the following differential equations. 1. x²y y' = ey 2. (xy + x)dx =…

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Q: A force of 750 lbs stretches a spring 3 inches from its natural length of 15 inches. The work done…

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Q: Suppose an investment of $9,000 is invested at an annual rate of 9.4%, compounded continuously. What…

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Q: Find two positive numbers that satisfy the given requirements. The second number is the reciprocal…

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Q: -10 -5 у 10- 5 -5 -10- 5 E . 10 X

A: We need to write down the type of the function, x and y intercepts and also the vertical and…

Q: d the equation of the tangent line to the curve y = 5x cos x at the point (7, e equation of this…

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Q: Express a = the limit lim Σ(4(x*)² – 3(x* )³) Aï; over [6, 7] as an integral. n→∞ i=1 Provide a, b…

A: The given limit limn→∞∑i=1∞4xi*2-3xi*3∆xi over the interval 6,7

Q: Question 14 (1 point) ✔ Saved Determine the scalar equation of a line with a normal vector passes…

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