Evaluate the integral 7-2x dx /7+12x-4x²

Q: 5t4 dt 4. Vt5 +2

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Q: 1 - x dx. e + x Evaluate:

A: We have to find the given integral.

Q: You will calculate L5 and Ug for the linear function y =16 – 5 z between z = 0 and z - 2. Enter Az…

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Q: 1 log3(r – y)*

A: Given; fx,y=1log3x-y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

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Q: S (e2 + 5e* + 4) e*dx

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Q: Find the solution of each inequality in the interval [0, 277). (Enter your answers using interval…

A: a)sin(x)≥0.5first and second quadrant:x≥π6, x≤π-π6[π6,5π6]b)cos(x)≤-0.5second and third…

Q: S 24ecot 4z csc2 4xdx

A: To evaluate: I=∫24ecot 4xcsc24x dx⇒I=24∫ecot 4xcsc24x dx Substitute 4x=t⇒4dx=dt⇒dx=dt4: I=24∫ecot…

Q: 6x + 2y = 3 elect the correct choice below and, if necessary, fill in any answer boxes within your…

A: Topic:- geometry

Q: Solve f (5x + 6)eª dx using Integration by Parts. Use u = 5x + 6 and v' = e".

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Q: Let f: R->R be a continuous function that is convex on (-∞), 0] and [0, ∞)) and has a local maximum…

A: We have to show that function f is not differentiable at the point 0.

Q: Use the Euler, improved Eule and Runge-ku 6. methods to solve the following ODES: ソ=(1+ ) りく) = e

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Q: Find the center. transverse axis. vertices. foci. and asymptotes. Graph the equation. What is the…

A: To find the center, transverse axis, vertices, foci, and asymptotes. To grapg the…

Q: (b) Find a formula for the area of a cross-section of S in the plane perpendicular to the y-axis at…

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Q: Bacteria grown in a certain culture increase at a rate proportional to the amount present. If there…

A: This question is based on application of diffrential equation.

Q: Given the curve y = x' and the line y = 4x in quadrant Find the ordinate of the centroid y of the…

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Q: EXAMPLE 4 Solving an Equation (Complex Roots) Find all complex number solutions of x -1=0. Graph…

A: Let's find.

Q: Evaluate (x²+4²) dxcky

A: Topic = Integration

Q: Use the Table of Laplace Iransform fo find the Laplace Transfom of the given function. a. te-3t +…

A: Note that, according to Bartleby guidelines, we can answer only the first 3 sub-parts in the case of…

Q: Suppose Im(f(z)) = 6x(2y -1) and f(0)= 3 -2i, f(1) = 6- 5i. Find f(1 + i)

A: Complex function

Q: Determine dydx of function g 1 g(x, y) = cos (Tx/T) + log3 (x – y) |

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Q: Find the volume of the solid that results when the region shown below is rotated about the y-axis. y…

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Q: Question #4 C9: "Find derivatives using Implicit Differentiation and Logarithmic Differentiation."…

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Q: Find the average value of the function f(x)= e²x on the interval [0,4]. O a. 372.5 O b. 1490 O c.…

A: Topic = Application of integration

Q: The area of the base of a rectangular prism is equal to the area of the base of a cylinder with an…

A: The area of the base of a rectangular prism is equal to the area of the base of a cylinder with an…

Q: Find the integral of e*cos (x)dx

A: The given integral is:∫excosxdx.We will use integration by parts formula to evaluate the above…

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Q: ind the area under the given curve over the indicated interval. 15) y =ex; [1, 2] 4. 3. 2 A) e2 -e…

A: We have to find the area under the curve.

Q: 8. dx x² + 36 0.

A: The given integral,        ∫08x3x2+36dx

Q: PROBLEM. dz dz and dy 1. Suppose z is a function of x and y, and tan Vy² + x² = z®e©y. Solve for %3D

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Q: Consider the function g defined by 1 g(x, y) : = cos (Tx T) + log3 (x - y) Do as indicated. 1.…

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Q: Evaluate xy dx + (x+y)dy along the curve y = 4x from (- 2,16) to (- 1,4). xy dx + (x+ y)dy =

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Q: 8^(4x-12)=4000000

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Q: Next question Solve the system. Use any method you wish. x? + 2y? = 29 4x2 - y? = 10 What is the…

A: We need to solve system of equation.

Q: With the throw of two dice, what is the probability that the sum will be a prime number?

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Q: Q/ Find the Surface area generated by revolving y = 1 – x2 around the y- ? 0 <x <1 axis, where

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Q: ollowing integrals: 1. cos 2xdx |2x -5/kdx 2.

A: Given∫cos3 2x dx  Substitute u=2x→dudx=2→dx=12du =12∫cos3(u) du ∫cos3 (u) du preparation for…

Q: Evaluate the following integrals. Show all the necessary solutions. 5 - 4x² dx 4. 3 + 2X

A: Here we have to integrate the given Integral.

Q: Points A andB are separated by a lake. To find the distance between them, a surveyor locates a point…

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Q: At a conference, after everyone had shaken hands with everyone else, it was found that 45 handshakes…

A: This is a problem related to permutation and combination. Based on the general formula and concept…

Q: Use the numeric integration feature on your calculator to find the integral. 4. 27) A) 0.88623 B)…

A: We can find the answer as below.

Q: Let f (x) + 4. Evaluate f (-8). 2 (2 f(-8) = Number

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Q: 50 ee the wWind, a plane would fly due east at a rate of 150 mph. The wind is blowing southeast at a…

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Q: Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z subject to a? + y +…

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Q: To find the distance.across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: Question 1 (a) Use the Second Derivative Test to find the local extreme values of the function f(x)…

A: 1. (a) We analyze the following function with the second derivative test: f(x)=(x3+8)4 Now we find…

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Q: In the year 1985, a house was valued at $104,000. By the year 2005, the value had appreciated to…

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Q: Evaluate the function at the given value of the independent variable. Simplify the results. (If an…

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Q: Find the sum of the series. n=1

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