dy Find for dx 5) y = sec-(2e3x)

Q: 6x – 10,a -1

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = -x2 -…

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Q: A company determines that its demand function is given by p(g) = - 0.7g + 547 and that its cost…

A: Given query is to find the quantity for maximum revenue.

Q: The particular solution that satisfies the differential equation and the initial condition dy/dx =…

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Q: Find the partial derivative. 6. z = (x² + 4x – 2y)° dz

A: We have to find out derivative

Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

A: Given,initial kangaroo number, n(0) = 200number of kangaroo after 3 years, n(3) =500carrying…

Q: (x=1² +3t – 1 + 3t – ; at t=-2. t-2 y = t² +1

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Q: dP/dt= P(P − 10),

A: answer is in next step

Q: 5+a 5 lim, 0

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Q: | tan° xsec* xdx 6 2. Use 1 + tan² x = sec? x to evaluate

A: Solution:

Q: nd the volume of the solid generated by

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Q: lve each of the given LDE of order n. D² +6D+9)y=e³* (Use Reduction of Order Method)

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Q: Find the area of the region bounded by y = (1/8)(-x² + 6x +7) and y = -6. Answer:

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Q: Approximate 2(-1)(n+1) Σ п! n=1 Use |S – SN| < bN+1• - (Use decimal notation. Give your answer to…

A: We have to approximate  S=∑n=1∞ 2*(-1) n+1/n!      On expanding this series we get S= 2[1-1/2! +1/3!…

Q: Evaluate the definite integral using the given integration limits and the limits obtained by…

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Q: Find V · (V × F) if F(x, y, z) = 3 sin xi + 9 cos(5x – 6y)j+ 10zk.

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Q: 7. Sketch the region of integration, and evaluate the integral. 22л г JI * zdz d0 dr 0 л 0

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Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 1 + 8 1 + +... p =…

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Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

A: The understanding of radioactive decay is required. The explanation part is given below.

Q: Find the volume of the solid that is bounded by the surfaces z = 152 - x2 - y?, z = 0, x = 0, y = 0…

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Q: dx 2. x²V4-x?

A: Just use the trigonometrical substitution to make integral easy and then solved it.

Q: r arcsin(5y) dy. Consider the integral V1– 25y? This can be transformed into a basic integral by…

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Q: A particle is moving in a straight line according to the position function s(t) = t³ – 61² +9t +5, t…

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Q: Solve the following differential equations of 1 x’y" – 2xy' – 4y =

A: To find the solution of given differential equation.

Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

A: We need to predict population.

Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve).…

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Q: Suppose f(x, y, z) = x2 + y + z? and W is the solid cylinder with height 7 and base radius 3 that is…

A: Given that f(x,y,z) = x2+y2+z2 and W is the solid cylinder with height 7 and base radius 3 that is…

Q: QUESTION 13 Refer to the graph below. Find the consumer surplus for the demand function, D, when x…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise. p…

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Q: One of the correct steps to evaluate x2inx x²Inx dx to yield the correct integral A x?Inx B 1 x3 dx…

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Q: Find the quotient of the complex numbers. Leave your answer in polar form. co cos

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Q: QUESTION 6 Refer to the graph below. When the price of a product is P2, then the consumer surplus…

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Q: dy Find for dx 4) y= sinxtanx

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Q: 3x? (x³ + 4)* dæ = 5120 Select one: O True O False

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Q: (4)Show correct Answer for this 1 question and Highlight it, tysm!!

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Q: Find the general solution of the given second-order differential equation. 5y'' + y = 0 y(x) =

A: If the roots of the auxiliary equation is complex i.e, α±iβ , then complete solution is…

Q: S- x*dx is equivalent to Using trigonometric substitution, (A) 6 sec40 de B) None (c) 8 sec40 de D 8…

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Q: Describe the graph of the equation. r = 15 sin 18t i + 15 cos 18t j O It is an ellipse in the…

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Q: du u and dx du Identify u and dx du u" dx Finding for the integral dx.

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Q: The points P(-2,1), Q(-6, 4), and R(4,3) are three vertices of the parallelogram PQRS. Find the…

A: Given: Vertices of Parallelogram P(-2,1), Q(-6,4), R(4,3)

Q: An iceberg travels due South at 15 km/h in a fast Labrador Current. A passenger ship, 50 km to the…

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Q: sin' (12x) dx =

A: TO find : ∫sin3(12x)dx=?

Q: dy = xe with y(0) = 4 dx

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Q: Evaluate the integral. dx (x – 4)(x – 7) - (Use symbolic notation and fractions where needed. Use C…

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

Q: Find the tangential and normal components of the acceleration vector for the curve 7(t) = (- 3t,…

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Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

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Q: x'y" – xy' + y = In(x)

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Q: Need

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Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

A: Given , dy/dx = x2+2x-4 We can get y by integrating.

Q: Find the area of the enclosed region bounded by the graphs of y=e^x, y=x, the y-axis and the line…

A: Here we have to find the area of the enclosed region bounded by the graphs of y=ex,y=x,the y-axis…