Can you find the next term in the following sequences? 1. 7,7,7,7,7,... 2. 3,-3,3,-3,3,... 3. 1,5,2, 10,3, 15,...

Q: a²f If f(x, y) = re su, then is given by: 1 %3D 6(6x–8y)' - 16 (6z-8y)3 12 (6z–8y)³ None of these 16…

A: We will find the partial derivative.

Q: Solve using an appropriate method on First Order Differential Equation. Show complete and detailed…

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Q: 3. Evaluate the following using Integration by Parts, Algebraic Substitution, Trigonometric…

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Q: Solve the differential equation with appropriate method. Finalize answer equated to ky^n. dy/dx + y…

A: Using bernoulli's differential equations, solve this differential equations.

Q: (csc e cot é -s cot 6 de

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Q: 18 1. Given the graph of the function y, determine the (Note: The curves between x = 4 and x = 6,…

A: Find your answer below

Q: . (-со, 6)

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Q: (cos x+xcost)dt +(sint – t sin x)dx = 0 Ans. t cos x+x sint = c

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Q: Graph the polar equation. 1=2 cos 30 21 3 そ 31 to 中田

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Q: Consider the points A(3, –3, 5), B(5, –5, 2), C(-1,–4, 2), and D(4, 1, –8). (a) Find the volume of…

A: Given: A(3,-3,5)  B(5,-5,2)C(-1,-4,2)D(4,1,-8)

Q: Find all the local maximum and minimum and saddle points, with their values, for the function f(x,…

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Q: A conical water tank with vertex down has a radius of 13 feet at the top and is 30 feet high. If…

A: Given,            A conical water tank with vertex down has a radius of 13 feet at the top and is 30…

Q: Find the exact area of the surface obtained by rotating the curve y=÷x², 0<x<12, about the y-axis.…

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Q: val [1,5].

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Q: 4. Find the total differential of z = In(x + y), x= w, y = w². By how much will z change if w…

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Q: use implicit differentiation to find y’ at (-2,0) for 2x^4+e^2xy=33

A: follow next step

Q: Calculus the producer surplus for the supply function p(x) = 3+0.01x at the sales level X = 10. Show…

A: Here we have to calculus the producers surplus for the supply function p(x)=3+0.01x2 at the sales…

Q: lim (5x + х+ 3,

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Q: If f(x, y) = cos (xy) – 7y, then fx(0, x) = 0. %3D Select one: True O False

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…

Q: i. Comment whether the sequence is Converges or diverges. ii. Obtain the first five terms of that…

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Q: Find the derivative of the following functions from first principles. (i) x (ii) e (ii) log (x + 1)

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Q: )

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Q: (-1)" The series L n!/5 + 1)(n²/3 + 3) is: n=1 absolutely convergent O divergent conditionally…

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Q: Find the area bounded by the curves f(x)=x+8 and g(x)=x²-x.

A: Given: f(x)=x+8 g(x)=x2-x

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: an open box is to be made from a 2 foot by 3 foot rectangular piece of metal by cutting equal…

A: V(x)=length*width*heightV(x)=(2-2x)(3-2x)(x)V(x)=4x3-10x2+6x

Q: Find the relative maximam/minimum values of the fuction f(x)=X-2 State where the function is…

A: Given,            fx=x-2x+2To find : Find the relative maximum/ minimum values of the function.…

Q: ) frcos () ->]dx +: - y dx + xdy = 0 %3D

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Q: In the cost function below, C(x) is the cost of producing x items. Find the average cost per item…

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Q: draw 4 level curves of f(x,y)=e^-x+y

A: Given f(x,y)= e^(-x) +y The level curve are           e^(-x) + y = k    or.  y= k - e^(-x) Which is…

Q: Given the surface x²y + y° z+ z?x = 38. Find the normal line and the tangent plane to the given…

A: A detailed solution is given below.

Q: The definite integral of f(t – 1)dt = f dv is v – v. =t2 – t - t %3D %3D O True O False

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Q: The rate of change dP of the number of wolves on an island is modeled by the following differential…

A: Let's find.

Q: Given the area in the first quadrant bounded by x2 = 8y, the line y – 2 = 0 and the y-axis. What is…

A: Given the area in the first quadrant bounded by x^2 = 8y, the line y – 2 = 0 and the y-axis. Find…

Q: Given f(x, y) = In(3x² + 5y²) then af dx

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Q: dy 1+y+1

A: We know. ∫xndx=xn+1n+1 for any real number n. ∫dxx=lnx

Q: Find the solution set of the inequality 5x2 – 2x + 12 < 6x² – 3x – 18. - Select one: а. [—5, 6] b.…

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Q: A box with a square base and open top must have a volume of 4000 cm. Find the dimensions of the box…

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Q: Answer(8) Linear First Order D.E. Solve the following differential equations of 1-e" dx +2(xe" -…

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Q: 3 -5 6. Evaluate the determinant for the following matrix: 1 O A. 8 О В. -2 О С. 5 O D. -4

A: Solving the problem by finding the value of the determinant.

Q: A supermarket manager estimates that a total of 400 cases of soup will be sold at a steady rate…

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Q: アrova solution to if ulx,t)= (sin (x- 6 )-Sin (x+6)) tion equa %3D

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Q: 5 dz Evaluate the integral: J1" (2+3z)³ (2+3x)³ O 22 O None of these 30 15 Clear my choice

A: Given query is to find the value of the integral.

Q: f(-9) = 0 f(-1) = 0 f(2) = 2 f(4) = 4 f(6) = 3 lim f(x) =∞ lim f(x) =-∞ X--5+ lim f(x) = ∞ lim f(x)…

A: Concave up:(-∞, -5) : f''(x)&gt;0function is decreasing in (-∞, -9)f'(-9)=0and function is…

Q: a51 - Find ax2@y3 if f(x,y)-x.e z

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Q: 2 sinh x 2. Calculate the integral, dx. 5+6 cosh x

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Q: Q6 Determine the surface area of the solid obtained by rotating y = V(2p – x)(2p + x), |x | < 2…

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Q: (ysin x+xy cos x)dx+(xsin x+1)dy = 0 Ans. xy sin x+ y = c

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Q: dA when r = 2. dt dr Let A be the area of a circle with radius r. If = 2, find dt

A: Area of the circle with radius r is given by;A=πr2differentiating w.r.t time,dAdt=2πr drdtWhen r=2…

Q: Differentiate the function of y = (e4x^2+1)3 in two different ways: i.) by differentiating the…

A: Given: y=e4x2+13   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x