2.Figure out the following = 2t2 +Int, t>0 dy. = cos(t – 1) c.f(z) =| -1|,9(z) =| 1.f'(1)?g/(0)? ? b.y = ( +2r – 1)*,g/(z)? a. V%3D P.

Q: S 7" Зи + 12 1 8.

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Q: Region bounded by: y=1/2x, x=2, x=4. y=0 Rotate about x-axis. Find the area

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Q: x2 – 3x – 2 if x 4 f (x) = - (2x + 1

A:

Q: 1 lim (x² –1)sin x+1

A: To find out the limit.

Q: 1. / 2dx 3D 0 + С %3D С 2. Sx²dx = 2x + C %3D 3. S 5x*dx = x5 1 4. Sdx = + С 2(х2-5) x2-5 5. ſ tan x…

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Q: Question 9 Find the volume of the shaded region when revolved about the indicated axis. 21 x = V7+ y…

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A: Solving

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Q: j. r (0)=tanh (cas o)+ cos h (e)

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Q: dy Use an appropriate technique to find dx from x² + y² = (2x² + 2y² -x)*.

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Q: 3. Evaluate yn x dx

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Q: Radioactive Carbon-14 The percentage Pof radioactive carbon- 14 remaining in a fossil after t years…

A: Note: As P and b for the first question are not given in the data provided by you. Solved the second…

Q: Which of the following Cartesian equations is equivalent to the polar equation T= 4 cos 0? Select…

A: We can convert from polar to cartesian equation as below.

Q: determine which statement is true {(x,y)|y=√9-4x2} (A) not a function (B) function; domain: [-3/2…

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Q: 6. The initial population of a town was 12000. After 5 years the population increased to 38000…

A: Equation of population growth: P = P0 e^(at)

Q: Suppose that she applied a force of 20N to push the object for 50m as shown below. If e = 45°, then…

A:

Q: / Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0 -

A: To solve the given differential equation.

Q: Find the antiderivative of the function 4x3 - 2x2 +x - 5 dx

A: This question is based on indefinite integral.

Q: Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) Maximize z = 3x…

A: Here, the feasible region by the curves x+y≤1034x+y≤160y≥23x,y≥0 is:

Q: Find dy/dx: solution in handwritten 1. y = , Vu du

A: Note:- Here limit of integral 0 to t4  then in your question we need to find dy/dt instead of dy/dx…

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A:

Q: c) Period d) f(990°)

A: Given data÷

Q: Find the focus of the parabola y = x 2 - 12x. (6, -35) (6.75, -36) (6, -35.75)

A:

Q: 1. Jx cos 3x dx

A: Question 1 is solved. Solving more than 1 is against the policy.

Q: 4. Find the volume of the solid that lies under the paraboloid z = x? + y² and above the region R in…

A: We want to find the volume.

Q: 5. The velocity function of a moving particle on a coordinate line is v (t) = t³ + 6t² + 11t + 6.…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: 4.two die are tossed, the probability that the sum of two faces will be 4 11 d) 3 a) 72 b) 12

A: Probability

Q: QI// Find the Area bounded by: x = -y2 and x =y-2

A:

Q: Area: 7A square centimeters

A: The length is 7/3 cm and breadth is 3 cm or vice-versa for the perimeter to be minimum

Q: Let й -, й- where A and Bare some constants. Given that ü+ 50 = find the value of the product A.B.…

A: A. B=48

Q: Given the equation x In(y) dz = z Arctan(3y). Assuming z as a function of variables x and y, find ar

A: To partially differentiate the function z with respect to x.

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

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Q: dy 1. Find general solution for =x²y° +2y +x° +2. dx

A: Dear learner,  As per our guidelines we can provide the solution for first one only. Kindly post…

Q: Find the Area bounded by: x = -y2 and x =y-2 %3D

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

Q: 38. Determine the integrating factor of the linear differential equation y' - (1 + tanx)y = e cos'x.…

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Q: Use the properties to evaluate the integrals. S (1+) du 1.

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Q: dx = 4x +2y+e'+t dr Write the system in matrix form: dy - 2x - y+ 3e' di 4 A. X'= 1 4 B.X' = 2 -1 3…

A: We have to find the system in matrix form.

Q: Find the sum 11-"+2.6"+1. (Hint: Use Geometric Series)

A:

Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

A: We have to find X intercept, relative minimum, relative maximum, point of infection and the equation…

Q: The one-to-one function h is defined below. 7ォー9 h(x)- %3D 4x +1 Find h(x), where h is the inverse…

A: Domain of a function y=f(x) is the set of values of x for which f(x) is defined Range of a function…

Q: d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Consider the series n+5 Determine whether the series converges, and if it converges, determine its…

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Q: Solve me initial No need to Jimphiry. by value the separaion of variables a.

A: To solve the following initial value problems by the separation of variables.a y'=1+y2, y0=1b…

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A: We can answer both the question as below.

Q: 44. V 3(-4V3. –2V3)

A: Given  Vector

Q: (2 1 Q2) find eigenvalue eigenvector of A x(0,0) = (1,1)

A: