I. Find dy/dx of the following: COS X √4-3x² 7. y In- 8. y In, 6. y = In(In x) 9. y + ln xy = 1

Q: 5. y = sin² (In .x)

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Q: tan (2x + 3). Find the differential dy when x = 3 and dx Let y = Find the differential dy when 3 and…

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Q: egrate the following by hand, shc 9 (a) 3 3 √x³ - 24+8) dx

A: We can solve this as follows:

Q: Find all local extrema for f(x) = x²e²x Files Maximum file size: 20MB, maxin

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Q: Solve the differential equation [x a. b. C. d. y tan-¹ (²2)] dx + x tan¯¹ (2/1) dy = 0 c²(x²+y²) 2x…

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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: Determine the coordinates of the focus and the equation of the directrix then choose the graph of…

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Q: The function f is graphed below. State the values that fulfill the following requirements. If there…

A: Please see the below picture.

Q: Question 13 (1 point) ✓ Saved Which of the following CANNOT be an acceptable direction vector for…

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Q: 1 The length of the curve y = x³ + x¹ from x = 3 to x = 4 is: a. b. C. d. 145 16 257 12 99 8 593 48

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Q: 9. What is the maximum value of the parabola shown ? -4- 2- 0 --2- 2 a) y = 5 b) x = 3 c) y = 3 d)…

A: Graph of the parabola is given, we have to find its minimum value.

Q: -10 -5 I(X) 10 5 10 5 10 X

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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: Given the ODE: dy dt - --(t-1) cos(y). 4(0)-3 Estimate y(1) using midpoint method, h=0.5. Present…

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Q: 1 lim x cos- #48 X lim 00-00 = lim 20-00 cos (1/x) 1/x [-sin (1/x)] (1/2) -1/x² =lim sin 22-00 = 0 1…

A: Here, to evaluate limx→∞x cos1x

Q: 8. Determine the dot product of u = [5,-3,1] and v=| 1v=[2,-2,3].

A: Please see the below answer.

Q: 2. What is the maximum value of the parabola shown? y = - 2(2x − 1)² - 5 a) x = -1/ b) y = -5 c) x =…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  factor out 2

Q: Calculate (t) when k(t) = r(t) = (6t¯¹, 1, 6t)

A: r(t)=6t-1, 1, 6t Formula for  curvature κ(t)=r'(t)×r''(t)r'(t)3

Q: Cliff left point A at 8:00 A.M. walking east at 3 kph. Renz left point A at 9:00 A.M. walking north…

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Q: 2y dx + x(x² In y − 1) dy = 0.

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Q: (4) (d) 2-7 dx 4x-2 x²-1 (4) (e) S 7x (4x²+5)3 dx

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Q: A particle moves along the x-axis so that its position at time 0 ≤ t ≤ 18 is given by x(t), whose…

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Q: For the function ƒ(x) = x² – 11, find the equation of the tangent line at å = −12.

A: Given function f(x)=x2-11 We have to find the equation of tangent line at x=-12 Derivative of a…

Q: Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the…

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Given that f(x)= e3x (8-x) . We find intercept point and relative maxima and minima and point of…

Q: A water tower is located x = 275 ft from a building (see the figure). From a window in the building,…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) √ dy y = 2√x +

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Q: For the linear function y = f(x) df dx a. Find at x = 8. ƒ'(8) = b. Find a formula for x = f-1(y).…

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Q: Find the Riemann sum for f(x) = x² + 3x over the interval [0, 8] (see figure), where x₁ = 0, x₁ = 1,…

A: The given function fx=x2+3x over the interval 0,8 with x0=0, x1=1, x2=3, x3=7 and x4=8 Riemann sum:…

Q: 21. y = sech(√√x)

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Q: Find F as a function of x and evaluate it at x = 0, x = 7/3, and x = 7T/2. F(x) = F(x) = F(0) = (7)…

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Q: Use interval notation to determine where f(x)>0. 2. Use interval notation to determine where f(x)>6.…

A: The objective is to use interval notation to determine where f(x)>0. 2 and use interval notation…

Q: Find all local extreme values of f(x) = - The FIRST local extreme value, moving from left to right…

A: Topic:- application of derivatives

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: -3. For the function f(x) = -5x - 3, find the slope of the tangent line at x =

A: We can find the slope in the following steps.

Q: Simplify. (x3 · x3)2

A: We know, a. xk.xl=x(k+l) b. (xk)l=xkl

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated by…

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Q: The function f is shown below. What is the value of answer in simplest form. -10 -9 -8 -7 -6 -5 -4…

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Q: Find the exact area of the region bounded by 2y = 4√√x, y = 4, and 2y + 2x = 6

A: Here we have to find the area of the region.

Q: Evaluate I ta tanh x ln(cosh x) dx.

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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: II. Evaluate the following integrals: 1 2. fg x + 3 dx 8x+3 1. dx f X 4. - X +1 1 ₂2x+7 7. ƒ (2+ In…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: Test 8 2k √k for convergence

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Q: Find dy/dx by implicit differentiation. xy + 2x + 2x2 = 3

A: Given, xy + 2x + 2x2 = 3

Q: Evaluate I se sech¹0d0. 4

A: We have to find out integral

Q: 15 Lo - - dx 15 X (x + 1) ²/ O 0 O or| 800 88 O 1 O 176 5

A: The answer is 0.

Q: + 22/12 =)₁ y x² + y² dx + (ye³ +2²4₁²) dy = 0 =)

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Q: с хр. I + X (1+x) ''војо

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Q: Use the graph of the function f(x) shown below in order to determine all values of a in the interval…

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