Evaluate the integral Sy² sin(3y³ + 4) dy

Q: What is the 150th term of an a n-1 +2 ₁fa₁ = 11₂

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Q: a.find the slope of the line tangent to the graph of f at P. b. Determine an equation of the tangent…

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Q: 2. Find the sum of all rectangles shown in figure below in terms of x and y. X x/2 x/4 y/4 y/2

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Q: Which of the following is a mathematical sentence? 1.2 is a prime number. II. = 0. I and II Il only…

A: To find out the correct option.

Q: An automobile manufacturer wishes to control the number of nonconformities (defects) in a…

A: answer is in next step . please give a like !!

Q: 11. According to the methods of partial fraction, there is an equation of the form I B C A+ +…

A: Follow the procedure given below.

Q: 9. fif broken into partial fractions falls under a. distinct, linear factors b. repeated linear,…

A: You must have idea about basic algebra and partial fraction decomposition to under this better.

Q: Find the total area of the region between the x-axis and the graph. y=x²-5x² +6x, 0≤x≤3 (Simplify…

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Q: A rate of change of H is given by Solve for k where H> -25. O 0.458 0.346 0.255 0.144 ап = k (25 +…

A: This question can be solved using the concept of differential equation.

Q: Problem 6. A cylindrical container with a diameter of 3 meters is being filled with water. The water…

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Q: solution = Give the ODE : general x" + 3x² - 4x of the following

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Q: 2. Find the sum of all rectangles shown in figure below in terms of x and y. X x/2 x/4 y/4 y/2

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Q: The capacity of an elevator is either 20 children or 15 adults. If 9 children are currently in the…

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Q: Find the equation of the tangent line to the curve x + y² = 4 where the slope of the curve is 1.…

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Q: Let 7(t) = Find 7' (t) T' (t) =<

A: Given, r(t)=&lt;5t4-5,-e2t,-3sin(3t)&gt;

Q: Find the arc length of the curve y In(cosa) from = 0 to 2/4.

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Q: (x + ex sin y) dx - (y + e-x cos y) dy = 0

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Q: Given the equation y x4 4x³+2, determine all Critical Points and classify using the SECOND…

A: Given the equation y=x4-4x3+2, to determine all critical points and to classify them using the…

Q: 1) Find the volume formed by rotating the region enclosed by: x = 3y and y³ = x with y ≥ 0 about the…

A: answer is in next step . please give a like!!!

Q: Given u = ⟨5, 1⟩ and v = ⟨11, −3⟩, what is the magnitude of the projection of u onto v? Round your…

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Q: 3. Consider the function Prove that f'(0) = 0. f(x) = [2³ -2³ if r EQ if x # Q.

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Q: Sketch the region enclosed by a y²-56 and x+y=0 Decide whether to integrate with respect to x or y,…

A: Consider the curves  x+y2=56x+y=0

Q: nd an equation of the tangent plane to the given surface at the specified point. z = 4x² - y² + 4y,…

A: Topic:- application of derivatives

Q: 2. A rocket is launching vertically upward from a point 2 miles east of an observer on the ground.…

A: Let's find speed of rocket.

Q: 1. Evaluate a) lim b) lim X-T K1O the limit sinx x²-x2 4 In (1-x) + x + == x² 2 23

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Q: Which x-value is most useful in approximating 25.01? 26 16 27 25

A: Given, 25.013

Q: Step 1: Step 2: Step 3: Step 4: +1 tan² z sin²2 +1 cos² z sin²zcos² z + cos² z cos² z (sin²z +…

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Q: 1. what is the basic concept of a derivative? How is this derivat calculated? What techniques/ have…

A: Topic:- calculus

Q: Air is being pumped out of a spherical balloon at the rate of 25 cm3/s. How fast is the radius…

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Q: [sin³ 4x cos 4xdx

A: We can find the answer as below.

Q: maximum point of y x²-x-12 X+5

A: Maximum point of y is the point on the graph where y has the larger (maximum) coordinate than any…

Q: Suppose the inequality (2² - 4x + 3) ≤ f(x) ≤ cos (#) Find lim fx if it exists. 3 x-2 OA) -1 OB) O…

A: We use sandwich theorem to find limit

Q: B. Find the volume of the indicated solid i) under 2x - 3y + z = 6 and above the rectangle R = =…

A: Let's find volume of solid(V).

Q: 1000 I(t) = 1 +999e-.6t where t is in days and I represent the number of infected individuals. 1(t)…

A: It=10001+999e-0.6t…

Q: Consider the region R bounded by y = Arctanx, x = 1, and the x -axis. Suppose that R has its…

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Q: 41. Two straight roads diverge from an intersection at an angle of 60°. Two cars leave the…

A: Above question is solved.

Q: Evaluate the determinant of the matrix A by a cofactor expansion along a row or column of your…

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Q: A. Evaluate the iterated double integral. 2 i) ²xye' dxdy

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Q: (a) In the accompanying figure, the area of the triangle ABC can be expressed as area ABC-area…

A: Let's solve for area of the triangle.

Q: 6-Determine the volume of the parallelepiped formed by the vectors U= [2,1,3], v= [1, -4,2] and w=[…

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Q: If a vector has an initial point of (−3, −2) and a terminal point of (5, 9), what is the magnitude…

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Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About…

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Q: i) Consider the double integral I = -ff₁₂² Le e²² dx dy. y/3 Draw the region of integration then…

A: Given problem:-

Q: 3) Suppose that in a certain fish hatchery, the fish population is modeled by the logistic growth…

A: This is a problem related to exponential model function. Based on the general formula and concept we…

Q: Determine the absolute extrema of the given function on the specified interval. Show your solution…

A: Please see the below picture for detailed solution.

Q: During a fireworks display, a starburst rocket is shot upward with an initial velocity of 34.5 m/s…

A: According to the company policy we are supposed to answer only first three sub parts and rest of the…

Q: If f(x,y,z)=z In(x²ycosz), then fz is O 2z X OZ y O2z y O In(x²ycosz) - ztanz <|N

A: This question is related to partial differentiation, We will solve it using given information.

Q: .4 Determine the value of A, VAT for the white loaf of bread, and B, price excluding VAT for…

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Q: The points R(0, 2, 4), S(1, 3, 2) and T(−1, 2, 6) form a triangle. a) What is the area of triangle…

A: Given

Q: 5. If graphed, which of the following parabolas would lie entirely below the x-axis? (1) y=x² +5x+10…

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