Use implicit differentiation in finding y'. 1. x²³² +y³ =18xy

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Q: How do you find the 17th derivative of f(x)=2x^15-13x?

A: We can find the 17th derivative as below.

Q: Tutorial Exercise Use the Quotient Rule to find the derivative of the function. cos(t) f(t) = Step 1…

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Q: how

A: Please refer to the image below

Q: Which integral would represent the area shown? The function is f(x) = −(x − 1)³ + 2. 5 4 3- 21 1 2 3…

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Q: a) A population of insects at a rate of 200+10t+0.25t² insects per day (t in days). Find the insect…

A: Hence,  the population of insects after 3 days will be 682.25 => i.e. approximately 682 insects…

Q: sin²0 + tan²0 + cos²0 Otan ²0 cos ³0 sin 0 sec²0 ty the e

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Q: 2. Which equation models a quadratic relation? Oy = 2x²+1 Oy: O y = x -3z y = 3x+1

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Q: If it is known that ºf(x) dx = 17 and f f(x) dx = 12, find ſº f(x) dx.

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Q: Set up, but do not evaluate, the triple integrals needed to find the center of mass of the region in…

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Q: 23. (주)

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Q: Solve the equation for solutions in the interval [0, 2). Use algebraic methods and give exact…

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Q: 9. Use the Limit Comparison Test to determine convergence or divergence. a. 00 1 k=1 k3 - k+1

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.…

Q: Prove that if A and B are sets, then A - B = An BC.

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: A tank initially contains 10 kg of salt in 50 liters of water. Pure water enters at a rate of 2…

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Q: Find the curl for the vector field at the given point. F(x, y, z)= 6xyzi+6yj+6zk (6, 7, 6) O…

A: We have to find the curl

Q: Consider the given function and the given interval. f(x)=(x-3)², [1,4] (a) Find the average value…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: Find the volume of the solid that results when the region enclosed by y = e²x, y=0, x=0, x= ln 5, is…

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Q: Find the derivative f'(x) = f(x) = of the function. 2 - 58 - x x²-6

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Q: Please answer completely. Step by step. Evaluate. ग ? Sin ³ de 3 1-coso

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Q: The graph below is the function f(x) 4 02 -5-4-3-2-1 7 -1 0-2 3 -4 -5+ 2 3 4 est

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Q: Find the area of the region bounded above by y AY -x² + 8 and below by y = x². ==

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Q: Determine the equation of the hyperbola with foci (-2, 0) and (-2, -10), and co-vertices (2,-5) and…

A: Given foci and vertices of hyperbola .we have to find the equation of hyperbola.

Q: d If g(x): ªſ^*[e'− In(2t+1)]dt, find g''(x) . dx -2 A B == 4 (2x + 1)² 4 (2x + 1)² None of the…

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Q: ich of the following formulas would be used to calculate the trapezoid approximation of Jo 2x dx…

A: Topic:- application of integration

Q: Sketch the region enclosed by the given curves. 1 x, y = 4/x, y = 16x, y = 16 y 10 8 y 10+ Find its…

A: This question can be solved using the concept of area bounded by curves.

Q: 12

A: Topic - gradient of a vector

Q: For the following vector field, compute (a) the circulation on and (b) the outward flux across the…

A: Given that                                  F→ = ∇x2+y2  we can written this asF → =…

Q: Find the zeros of f(x) = 3x^3 + 9x^2 + x + 3

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Q: a) [² -da rlnr b) √ JI dr √1-² arcsin x c) / 1+ Leide [" 1+424

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Q: 24. 25. For numbers 24-30, consider f(x) = -x +8x³ - 18x² + 10. Read the following statements…

A: Here we have to use the concept of derivatives

Q: Find the angle of least positive measure coterminal with the given angl 869°

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Q: Each time your heart beats, your blood pressure increases, then decreases as th heart rests between…

A: p(t)=115+25 sin(160πt) is the pressure in mmHg, at time t measured in minutes.

Q: Problem 1: [(4x + 3)²D² − 12 (4x + 3)Dx+64]y = 16[(4x + 3)² sec² (ln|4x + 3)] - Problem 2: x³y"" −…

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Q: Find the derivative of the following functions. F(x) = √²** 1. √/20162). 2. G(x) = 3. H(x) = L √t³ +…

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Q: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its volume if…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the sum of the first 6 terms of the following sequence. Round to the nearest hundredth if…

A: Our Aim is to find the sum of the first 6 terms of the following sequence givenbelow:-8, 4,…

Q: 40 9 If the pointP (4) is the terminal point of t on the unit circle, fin 41 41 value of tant and…

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Q: In a typical diabetic, the level of insulin might be given by the following function: if 0≤ t ≤4 if…

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Q: Graph the curve. O r = 6 + sin(40) -6 -4 -4 y 2 2 4 4 X BB÷ 2 4 -6 -4 -2 -4 -2 2 -6 2 4 6 X

A: The given function is r=6+sin4θ To find: We have to find the graph of the given function. We have…

Q: Use the remainder theorem to find the remainder when f(x) is divided by x + 3. Then use the factor…

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Q: The trigonometric substitution x = = 3 sin 0 has led to the integral I = f tan³ 0 sec 0 de which can…

A: Topic:- application of integration and trigonometry ratios

Q: Please answer completely. Step by step. Evaluate. S arccos x dx

A: I have stated the used formulas in the solution

Q: The altitude of a triangle is increasing at a rate of 1.51.5 centimeters/minute while the area of…

A: The altitude of a triangle is increasing at a rate of 1.5 cm/min Area of the triangle is increasing…

Q: 2π What formula would be used to calculate the left rectangle approximation of ² (sin x cos x)dx…

A: Solve the following

Q: Question 6 of 11 (Use symbolic notation and fractions where needed.) minimum: Incorrect maximum:…

A: Given: the graph is given then we have to find the value of the value of the A

Q: Find the area of the shaded region. NOTE: Enter the exact answer. A = 4 y = x² + 4 y = x x

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Q: Find the derivative of the following functions. 1. F(x): = ſª √³+8dt

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: Evaluate F-dr where C is represented by r(t). C F(x, y)=xyi+yj C: r(t)=28ti+tj, 0≤t≤7

A: To find ∫CF·dr