Use a change of variables or the table to evaluate the following indefinite integral. dx e ex +5 Click the icon to view the table of general integration formulas. 2x dx = e2X +5

Q: Solve the differential equation. (Hine: Property of log: ea In t = eln t“ = tª) xy '+ 4y = sOX, x > ...

A: See the answer below

Q: Use Power Sums to evaluate N 3s? – 2s – 2 lim N-00 s=1 N3 (Give your answer as a whole or exact numb...

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Q: 1.4 0.7 -0.7 -1.4 t (s) The graph above shows the position of an object in simple harmonic motion as...

A: The position of a object executing simple harmonic motion is given by sinusoidal function, e.g. x(t)...

Q: Use a graphing utility to graph the function on the cdosed interval (a, b). fx) - Ixl - 5, (-8, 8] -...

A: We need to graph the given function and find value of c.

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), В(-4, -5,...

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Q: Evaluate the integral. sec (5x + 8) tan (5x + 8) dx

A: ∫ sec5x+8tan5x+8dx

Q: 0.4 0.2 -0.2 -0.4 t (s) The graph above shows the position of an object in simple harmonic motion as...

A: The maximum speed of a simple harmonic motion is given by, vmax=2πTA Where, A is the maximum displac...

Q: The position of an object moving in simple harmonic motion along the x-axis is described by the equa...

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Q: (n!)² ". Show your work. (5) Find the interval of convergence of the power series (2n)!

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Q: 1. Which of the following is true about the limit of a function described by limf(x)? a. The limit o...

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Q: Evaluate the integral. (Hint: u-sub) R/8 S (1+ etan 20) sec² 2x dx O 2e e

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Q: sin (4) tan z 2. Find the derivative of f(r) = using logarithmic differentiation.

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Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

A: let the two vectors bev=<a , b , c>w=<-a , -b , -c>Since two vectorrs are in opposite di...

Q: Which of the following is the general solution for the differential equation: y" + y – 6y = 0 where ...

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Q: Solve the differential equation. dy = 3x?cos? y xp Oy = x³ +C O y = tan'1 (x² + C) O y- tan (x³ + C)...

A: topic - differential equations

Q: Consider the following. 5i + 6j, v = 7i + 9j U = (a) Find the projection of u onto v. (b) Find the v...

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Q: Evaluate the integral tan (x) dx. tan (x) dx = %3D

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Q: Determine from the graph of the following function whether it is one-to-one. 10 +x, x20 f(x) = 10, x...

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Q: Find the vertex of the parabola. y = 3x² - 1 О (0, (0, –1) O (-1, 3) O (-1, 0) (3, –1) (0, 3)

A: topic - parabola

Q: An enterprise is planning a new radio, TV, and newspaper advertising campaign. A radio commercial co...

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Q: Homew O Points: 0 of 1 Does the sequence (a,) converge or diverge? Find the limit if the sequence is...

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Q: Use the product rule to find the derivative. f(x) = -2xex? %3D Please show all steps

A: To find the derivative of given function.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

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Q: Cons ider The diffevential quation ay? dx +3xy dy =0 with a gs a real constant. If u(x,y) = xyis 4 o...

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Q: 6 Convert your original pair of complex numbers to polar form. D=1-j2 A=2+j3

A: Convert rectangular into polar coordinates

Q: Activity 3 Find Your Rate at this Moment Directions: Differentiate the following functions and deter...

A: "Since you have asked multiple questions, we will solve the 1st question for you. If you want any sp...

Q: Solve the differential equation. dy = 3 cos x sec y dx Oy = sin1 (3 sin x + C) O y= sin (3 sin x + C...

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Q: 8. Find the volume of the region bounded by the plane z = 16 and the paraboloid z = (Use cylindrical...

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Q: Determine if the given function y = f(x) is a solution of the accompanying differential equation. y'...

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Q: 9. Use spherical coordinates to find the volume of the part of the ballps 4 that lies between the pl...

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Q: Cansider the functions and its 1st devnative 4 h(g) = 5q* – 2q% → h'(q) = 10q² – 4q? 2 r(r) = 5n(2) ...

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Q: 1-2 Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates...

A: answer of given question is in step 2

Q: Use Lagrange multipliers to solve the following exercise. Find three positive integers x, y, and z t...

A: To use Lagrange multipliers to solve the following exercise.To find three positive integers x, y, an...

Q: Find the dot product of u = u=(-4,-9) and v=(3,-2)

A: Given: u=(-4,-9)v=(3,-2)

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (cos(0), sin(0), 7) v = (sin(0),...

A: Option B 

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-7, 5, ...

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Q: A circle is growing, its radius increasing by 2 mm per second. Find the rate at which the area is ch...

A: Solve the given for chnage

Q: Find the angle O between the two vectors given below. 0%3(5,2)cnd v= (-6,-1). Ako drawa figure.

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Q: Find the area of the triangle with vertices P(1,4, –4), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the exa...

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Q: 1. Find the centroid of each of the given plane region bounded by the following curves: y = 10x – x²...

A: We know that; The expression for the centroid is: x=1A∬xdydx & y=1A∬ydydxWhere;Area=A=∬dydx   Gi...

Q: In the given first-order differential equation below, y'cot(x) + y= sec(x); (i) Identify the type (i...

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Q: Consider the coordinate vectors 6. (w]s= (als= (B]s %3D %3D %3D 3 4. (a) 8)}. w = (?, ?, ?) (b) Find...

A: Solution: b) S = {x2+1,x2 - 1, 2x - 1} and coordinate of q w. r. to s is  {2,0,4}

Q: 45. | (5x + x?) dx

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Q: Find the magnitude and the direction of the igiiven.vector lu=(3,-4)

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Q: In the given first-order differential equation below, xy – 2y= x2In(x), y(1) = 5 (i) Identify the ty...

A: Given a differential equation.  

Q: 3. If lim f(x) = lim f(x) 5 whenf(3) = -1, what is the value of lim f(x)? ズー3 X-3+ b. -1 For items 4...

A: follow next step

Q: Denivate h(x) = JXen(x)

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Q: A curve passes through point leio) and the Sloge dt line of each point (^,y) is egual to xe-BY .In t...

A: Curve passes through (e6, 0)f(e6)=0slope of Normal line=x e-8ySlope of normal line*slope of tangent ...

Q: Find the center and the radius of the circle with the equation x2+10x+y2+8y−103=0   Enter the cen...

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Q: 4. Find the general solution of the differential equation using the method of undetermined coefficie...

A: