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.

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: (3x² - 10)dx x² - 4x + 4

A: The integral using substitution is answered below:

Q: Q2: Find a general solution of the differential equation (D² + 6D +13)y= 10e³- 16e using the…

A: Concept: The general solution of the given differential equation is given by  y=C.F+P.I Here C.F is…

Q: 1) In medieval times there were 10,000 people living in a city that was struck by a plague so that…

A: This is a problem related to differential equation. based on the general formula of decay law we…

Q: Oil from a ruptured tanker spreads in a circular patter. If the radius of the circle is increasing…

A: Topic:- application of derivatives

Q: 1. A man 6ft tall is walking toward a building at the rate of 5ft/sec. If there is a light on the…

A: Concept: The similarity of triangles: Two triangles are said to be similar when they are of the same…

Q: The point x = 0 is a regular singular point of the differential equation x²y" − x(x+3)y' + (x+3)y=0.…

A: The given differential equation is x2y''-x(x+3)y'+(x+3)y=0…

Q: Basic PDES Which of the following statements is guaranteed to be true? - [cos(y) + y²x] = y2²…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: A movie poster is to contain 0.48 square meters of colored print. The margins on each side are 2.54…

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Q: Prove that sin²x x cos²x x= csc²x-cot²x 4csc²2x

A: This is a problem related to trigonometric identity. Based on the general formula and concept we…

Q: f(x) = -3 cos (+)-2

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

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Q: x-p In the table, Y, is defined by a rational function of the form p= Use the table to find the…

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Q: A 30-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: We have to find the 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: Use the table of integrals to evaluate the integral. (Remember to use absolute values where…

A: ∫3 sec5(x) dx=3∫sec5(x) dxApply reduction formula: ∫secn(x) dx=n-2n-1∫secn-2(x) dx+secn-2(x)…

Q: You want to travel from point A to point D at the fastest possible time. You can walk faster along…

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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: Find critical point of f(x)= 24x^2/3-8x

A: Find derivative of given function.

Q: Let f(x) = 1 + x² and g(x)=√x + 2. Find the following limit: lim(1(z)) g A) 4 B) √7. C) 2 O D) 5 O…

A: Given problem:-

Q: 2.)fedxdy

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Q: For the function f(c)=3x^4-8x^3-48x^2+1 A) find all critical numbers for B) on which intervals is…

A: Using critical point find intervals in which function increasing and decreasing

Q: Find the volume of the indicated region. the region that lies under the paraboloid z = x² + y2 and…

A: To find the volume of the given region.

Q: What is the sum of the infinite series 1 "n=1 102m ?

A: Sum of the infinite geometric series , S =a1-r ; where , a-first term and r<1 is common ratio .

Q: 17. Evaluate f-3x cos 2x dx a. --cos 2x - 3xsin 2x + C b. -cos 2x -sin 2x + C C. -cos 2x -³x sin 3x…

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Q: ii) under z = x² - y² and above the square R = [1,3] x [-1,1]

A: Please see the below picture for detailed solution.

Q: kample 8: Find the point where the line = 1 + t, y = 2t, and z = -3t intersects the plane - 4x+2y-4z…

A: Topic:- geometry

Q: Let V be the volume of the solid obtained by rotating about the y-axis the region bounded by the…

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Q: [ 1 x2 -a2 dx

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: We have to find position vector

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

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Q: Solve the following integrals: 1. S-7e*dx 2. (2ex - 6x) dx √² (3x) dx 3.

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Q: Q2: write and prove an Approximation property for the Supremum.

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Q: absolute absolute error when you vo (12) with T₂(x) at od: Jest Trond.alq2] vib 10 TO 90AU973V803…

A: Let's find absolute error.

Q: 4. 5. 1 X√(x)}² (x)²-49 dx 1 √9+8x-x² dx

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Q: Solve the following equations for x: a) 2e6x = 18 b) c) d) e) In x²: In x f) Inx² - In 25 2 And…

A: (a) 2e6x=18 e6x=9 Taking ln both side we get lne6x=ln9 6x=ln9 6x=2ln3 x=(1/3)ln3 x=0.36620…

Q: Q3; Fill in the blanks in the following: 1. If a=(-8,2) and b=(-1.-7) the projection a on to…

A: As per the guidelines I am supposed to do the first problem among multiple problems. So I am solving…

Q: A movie poster is to contain 0.48 square meters of colored print. The margins on each side are 2.54…

A:

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

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Q: 3. Find the general antiderivative of f(x) = x² + 3x+4 sinx.

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Q: -2x let f (x) = 3x · e¯¯

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

A: Given query is to find coterminal angle.

Q: 5- Determine the value for x such that the points A(-1,3,4),B(-2,3,-1), and c(-5,6,x) all line on a…

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Q: dx h-16x²

A: NOTE: Refresh your page if you can't see any equations. . ..................(1) substitute…

Q: 4. Find the Taylor series for f(x) = ln(1 + x) centered at a = 3. Give the first 5 terms of the…

A: This is a problem related to taylor series expansion. Based on the general formula and concept we…

Q: 1) Solve the following equations for x: a) 2e6x = 18 b) = 1 c) 2* = e5 e +²

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Q: 8. Find the point on the curve y = √2x 3 from the point (1, 4)-

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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: 3. Evaluate the indicated line integrals in the complex plane by direct integration. Siz dz along…

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Q: = n²-7n +3 What is the 50th term of the sequence represented by n a n for n ≥ 1?

A: Given sequence, an=n2-7n+3 , n≥1