(x5+2x² + 1)dx x3 x³ - x

Q: By using spherical coordinates, find the volume of the solid bounded below by cone z=√√x² + y² and…

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Q: 12. A pie is re take the p

A: NOTE: Refresh your page if you can't see any equations. . Newton's cooing law is given by here we…

Q: Find the solution set of the following equation if x € [-2TT,3TT[ [2sen(4x) − 1] × [1 + tan(x)] = 0…

A: We need to find solution set.

Q: Show that (cos 0 + i sin 0)" = cos n0 + i sinne for n = 3 and n = 4.

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Q: [sin³ 4x cos 4xdx

A: We can find the answer as below.

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: The curves 7₁(t) = (– 2t, t³, tº) and 7₂(t) = (sin( – 2t), sin( – 4t), t – π) intersect at the…

A: Here, the given curves are: r→1(t)=-2t,t5,t6 and r2→(t)=sin(-2t),sin(-4t),t-π which intersect at the…

Q: Solve the problem. Find the area between y = (x - 3)ex and the x-axis from x = 3 to x = 7. A) e²-e³…

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Q: 2. Given the following: ƒ(x) = x³e¯*; ƒ'(x) = x²(x − 3)(− e¯¾); ƒ''(x) = x(x² − 6x + 6)e¯* a. Find…

A: Given

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: x(t) Find the point at which the line y(t) z(t) = 6+t -8 5t intersects the plane. 7 + 2t

A: SOLUTION-

Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

A: Cylindrical shell Method : Let g(y) be a continuous function and non negative .Define Q be the…

Q: Find the volume of the solid obtained by rotating the region bounded by x = 8y², y = 1, r = 0, about…

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

A:

Q: 1.5+ 1 4 In the figure, is f(x) squeezed by u(x) and 1(x) 2 1. at x = 37 ? 2. at x = 2? IT 14(X)…

A: Concept: Squeeze theorem: Suppose that g(x)≤f(x)≤h(x) for all x close to a but not equal to a.  If…

Q: Using the Maclaurin series expansion of e, to find the series expansion of f(x). Express [ f(t) dt…

A:

Q: Find the average rate of change of the function y = 2e2 with respect to x over the interval from x=0…

A: As we know that; The average rate of change between the interval a≤x≤b is given by; Avereage rate of…

Q: The binary operation defined as a+b=3a - 2b is closed in all the given sets EXCEPT set of Natural…

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Q: Each of the following trigonometric expressions can be simplified to a numerical value, where cosθ ≠…

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Q: -10 h(x) -8 -6 f(x) x² -4 -9 k(x) x-3 2 10 1 8 00 2 -4 -6- -8- a(r)] 2 y = 2x+ ∞ X

A:

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

A:

Q: 2.) ff exdxdy

A: We will solve the problem.

Q: 5. Find the derivative of: a. f(x) = cos(e³x-4)

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A:

Q: An angle co-terminal to 19 6 11m 6 is

A: Given query is to find coterminal angle.

Q: Let 7' (t) = Find a parametric equation of the line tangent to r(t) at the point (59, 0, - 2.303)…

A: Follow the procedure given below.

Q: 1. Given the function f(x)=2-4x+ +$. Please find the intervals of increase or decrease, absolute…

A: Given problem:-

Q: dy + (3y - ex) dx = 0

A: Given differential equation is  x dy + (3y - ex) dx=0

Q: 16- Find the equation of the plane that contains the line = 2+ = 5-z, and the point P(0,5,2).

A:

Q: Consider the following function.    (c)Use calculus to find the local minimum value.   Find the…

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Q: 10) In an aquaculture, the amount of bacteria doubles every 7 minutes. If the amount of bacteria…

A: This is a problem related to differential equation. Based on the general formula and concept we will…

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

A:

Q: Find the determinant of the following elementary matrix by inspection. 10 0 0 01 0 0 E = 00-70 00 01…

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Q: Solve for y esec(4y²-6y+14) = 3x + 1

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Q: 10. The expression sin (32) cos (22) - cos (32) sin (22) is equal to

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Q: Example 4: Find the equation of the plane through the point (-4, 3, 1) that is perpendicular the…

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Q: QUESTION 20 The proprietor of Cypres Recordings investigated the relationship between sales (y) and…

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Q: Calculate Differentiate. 1 = 2 z² + 1 f(z)

A:

Q: E) If F(x, y, z) = 3x²i + 3zj - 3xk find the Div (Curl F). 0/0 0/0 0/0= az any jaz V-Vx3 = 0₂ 17 Pue…

A: First we find curlF .

Q: How about number 2?

A: Let's solve two parallel diffrential equation problem.

Q: 7. Which of the following are anti-derivatives of f(x) = sin x cos x? I. F(x)= sin²x 2 II. F(x)=…

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Q: Integrate by substitution. 2 [x²(x³ +5) dx

A: Given query is to find the integral using substitution.

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: Question 2. The Limit of a Function For the function h whose graph is given, state the value of each…

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

A: Given, 25.013

Q: Find a function f such that for any real number x such that 2√x + tan-¹x In csc x [₁₁ (1) dr = 3 +…

A: To find a function f such that for any real number x such that ∫-1xft dt=2x+tan-1 xlncsc x+π

Q: 5- The tail of vectors a and b form two sides of a parallelogram. Vectors is 30 degrees, and the…

A: Area of a parallelogram when two sides of the parallelogram are given by the vector a→ and b→ is…

Q: Solve the following equation by using LONG DIVISION 6x³5x²49x + 60 = 0

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Q: Evaluate lim x tan a x - x cos x

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Q: In 8 thy ể dxdy.... ****** Ans: 2 e. *******

A: