Find the root of f(x)=(x^2)-5, in interval [0,4] by using bisection method.

Q: Show that the given differential equation 7a²y" + (1x² + 7) = y 0 = has a regular singular point at…

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Q: 6. find the given general differential solution, using homogeneous equations with constant…

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Q: Find the equation of a circle whose center is at the intersection between the lines 3x - y = 2 and…

A: The standard form of the equation of a circle is x-h2+y-k2=r2 where (h, k) is the center of the…

Q: Let f : R −→ R be defined by f(x) = 2 − 5x. Show that f is bijective, and find (f^(−1))(x).

A: A function f is bijective if f is one- one  and onto

Q: Sketch and find the volume of the solid obtained by rotating the region bounded by the given curves…

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Q: (a) z = 2√1+r²

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Q: Evaluatef (cot2x + 2tan²x - 5) dx a. cotx + 2tanx + 4x + C b. -tanx-2cotx - 4x + C c. -cotx 2tanx -…

A: I have stated the used formulas in the solution

Q: π/2 COS X 1 + sin² x dx

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Q: Find the derivative of the following functions by using the limit definition of the derivative.…

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Q: Find the area bounded by y Round to four decimal places. 3 144 - 9x² X = 0, y = 0, x = 2.

A: SOLUTION-

Q: 1 1-25t² dt

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Q: Use the angle in the unit circle to find the value of the three trigonometric functions below. 1 2…

A: Topic = Trigonometry

Q: AY (1, 1) A X=1 y=x² с X (0,0) = 1, and the y-axis. Region A is bounded by the parabola x = y², the…

A: Note : As per our guidelines we are supposed to answer only 3  subparts if there are multiple…

Q: find the curvature of r(t)=⟨3t2, ln(t), t ln(t)⟩ at the point (3, 0, 0).

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Q: Find the tangential and normal components of the acceleration vector at the given point.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Q2) Find the area inside the circle r 1 and outside the cardiod r = 1 - sin(0). r² and y = 1

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Q: Use the functions f(x) = x + 4 and g(x) = 2x³ to find g-¹ o f-¹

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Q: Joseph completed the two problems, asking him to explain if there is enough information to prove the…

A: Given.

Q: Suppose A = 4i-6j, B = i + 7j, and C = 9i - 5j. Then the scalars h and k such that A = hB+ kC are…

A: Topic = Vector

Q: to evaluate the following: f(t³-4t² + 5t+ 32) sin(t)dt (B) Use Tabular integration

A: Given integral is :

Q: C 10 A 3 2- 1 1 2 3 4 To find the blue shaded area above, we would calculate: [1(x)d f(x)dx = area…

A: As shown in diagram, lower limit is 1 and upper limit is 2, Therefore a=1b=2

Q: Find the number a such that the line x = a divides the region bounded by the curves y = x, y = 0,…

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Q: y = 1 (1,1) A X=1 y=x² C X (0,0) Region A is bounded by the parabola x = y², the line y = 1, and the…

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Q: a.) Show that an is a perfect square where the sequence {an) is defined recursively by an+2 =…

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Q: -1 7. S. ze³2²–1 dz S² ydy 8. J.2

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Q: The graph shown is f(x) = 1⁄x². Y 5 4+ 3 2+ 1 + 54 3-2-11 1 2 3 4 5 -2 -3- 4 -5 X If g(x) = f* f(t)…

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Q: Find the tangential and normal components of the acceleration vector. r(t) = 4(3tt³)i + 12t²j at X…

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Q: Use Green's Theorem to evaluate §+(x² - y²)ẩx + xảy, where C is the circle x² + y² = 9. Select one:…

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Q: sec¹ x dx

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Q: Find the equation of the tangent line to right branch of the hyperbola π π ㅠ x = sect, y = tant, st≤…

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Q: Q2: dy du (A) Show that if y=csc(u), then -csc(u) cot(u) dx dx

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Q: Q17) The slope of the tangent line of the curve x² + y²=5 at the point (1,-2)- A) √√4x-4-√√5x-1 x-3…

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Q: In x -2 x dx

A: Given: I=∫12lnxx2dx   Apply the integration by parts to solve the given integral. ∫udv=u·v-∫vdu

Q: 4) Angle A of triangle ABC is decreasing at the rate of 4 degrees per second, while sides AB and AC…

A: According to the guidelines if we get more then one question then we have to solve only first…

Q: Given the vector function 7(1)=(31²-1, 1-8√F³, 12t-4), find the speed & arc length of the curve on…

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Q: Trace the curve r = 1 - 5 cos 0

A: Given  r=1-5 cos θ

Q: find the given general differential solution

A: Let, y= emx is a…

Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 1 about the x-axis.…

A: The area of the surface obtained by rotating the curve y=f(x) from x=a to x=b about the x-axis is…

Q: Calculate the value of the line integral fds where f(x, y, z)=e² and C is described by X C (x, y,…

A: The objective of the question is evaluate the definite integral.

Q: Part II. Calculating Second Order Partial Derivatives. Find all the second order partial derivatives…

A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: dy -2x² + 5y5 + ey = 0. Compute in terms of x and y. dx Let y(x) be defined implicitly by G(x, y(x))…

A: We have to find derivative

Q: Find the first derivative of f = (h+2)² (2h+1) h²+3 V using logarithmic differentiation

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Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

A: Let's solve.

Q: (B) Use Tabular integration f(t³-4t² to evaluate the following: - + 5t+ 32) sin(t)dt

A: We nee to evaluate ∫t3-4t2+5t+32 sin(t) dt

Q: 3.y" + 6y + 8y Pros Зе 2х + 2x

A: Let's solve given diffrential equation.

Q: Find two positive real numbers such that the sum of the first number squared and the second number…

A: Convert it in one variable then use double derivative test

Q: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

Q: = 0.3t centimeters per minute 2. The depth of the water in a tank is changing at a rate of r(t) O,…

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Q: - 3)² = 81 then, find its ce or a=<3, -1

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Q: Determine the graph of the equation a² + y² + 2² - 6x + 2y - 4z + 19 = 0. O Sphere O Point O Empty…

A: Given :x2+y2+z2-6x+2y-4z+19=0