Evaluate x+1 S ex x² dx O e.e= + C O-e e + C O e e + C e = + C O

Q: The region in the second quadrant bounded above by the curve y = 4-x², below by the x-axis, on the…

A: Solution is given below:

Q: A conical vessel 12m across the top and 15m deep. If it contains water to a depth of 10m, find the…

A: Concept: Similar triangles are those which are of the same shape but need not be of the same size…

Q: Which of the following is a solution of the given initial-value problem? y' + (tan(x))y = 5 cos²(x);…

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Q: 2. A line passes through the points P(4, -3) and Q(6,2). Write the following equations of the line:…

A: A line passes throughvthe points P(4,-3) and Q(6,2). Write the following equations of line. A) a…

Q: Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y - 5z…

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Q: The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated…

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Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 3x sin(xy)…

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Q: Əw 1. If w=x" f() show that x ax +y Əw ду = nw where n = integer.

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Q: If f (x) = 1 and (a, ƒ(a)) and (a + h, f(a+h)) are points on f(x), where h = 0, then 2x -1 f'(a) =…

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Q: Write the inequality in interval notation and graph the interval. -5<x<5 The interval is 0

A: Use interval notation

Q: 3. Derivative of g(x) = 2x + xª − 7x² +3 b) 12x³+4x³ - 14x +3 c) 12x6 +4x² - 14x²_____d) 12x³+4x³ -…

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Q: Find the volume of the region that lies below the parabola y2 = x and above the x-axis the interval…

A: Given curves is y2=x

Q: B)Solve differential equation dy -(x²+y) = dx x+siny

A: Given that,

Q: A 200-foot cable weighing 4 pounds per foot is hanging from a winch 200 feet above ground level.…

A: We have to find the work done.

Q: Find Mx, My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equat…

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Q: Determine the critical points of f(x) = 8x3+81x2−42x−8.

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Q: The displacement (in feet) of a particle moving in a straight line is given by  s = (1/2)t2 − 9t +…

A: Use instantaneous velocity concept

Q: The graph of f is shown. 8 (b) 0 8 16 24 32 Evaluate each integral by interpreting it in terms of…

A: According to the guidelines in case of multipart question,  we are only allowed to solve first three…

Q: f 2³x dx = O 0 23x In 2 + C ○ 23x+1 + C 3x+1 23x In 8 0 23x ln 2 O + C + C

A: To evaluate: I=∫23xdx

Q: really need help with drawing this graph I already got the area of the region i just need help with…

A: Follow the procedure given below.

Q: Find each function value and limit. Use - ∞o or ∞o where appropriate. 7x+2 f(x) = 2x-2 (A) f(10) (B)…

A: Solve the following

Q: Find the general indefinite integral. (Use C for the constant of integration.) [(7x² + 8 + 2²1) dx +

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Q: The base of a three-dimensional figure is bound by the line y = -x + 3 on the interval [-1, 1].…

A: Here, the cross-section is perpendicular to the x-axis. Therefore, the area is a function os x.

Q: Determine the derivative of y = ln(4x² - 2x). O 8x-2 4x-1 8x-2 4x²-x 4x-1 4x²-x 4x-1 2x2- -x O O

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Q: Find the area of the shaded region. r = 1 + cos 0

A: Here, the given curves are r=1+cos θ &amp; r=3 cos θ First of all find the intersection points of…

Q: Solve the following algebraic and trigonometric functions by parts. | a) [ x2cosx dx b) √ xlnx dx c)…

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Q: Question -3x-13 Given that s(x) = find (s-¹)'(8) using the I x+8 Inverse Function Theorem. Note that…

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Q: Q2A)Matrix 4 = [3] find Eigen values of 4².

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Q: Suppose that f is a function that is continuous at a number c. Which of the following statements I,…

A: The function f is continuous at a number c.

Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

A: To find out the extrema of the function.

Q: Sketch the graph of a function that satisfies ALL the following properties: ▪ lim f(x) = -2, lim…

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Q: Q5: Find the sums of the following (geometric series): 3n-1 1 6n-1 n=1

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Q: Homework) read the following mathematical steps of finding sum of series. Σ 2n = 1+2+4+8+16+ ....…

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Q: 2)If z=(2√3-2i)2 then the angle 8 in polar 7n 117 6 6 form: خیار 1 117 اس 3 خبار 2 خبار 3 C

A: z = (23 -2i)2 z= (23 )2- 2*23 *2i  + 4i2 z = 12 - 83i -4 z = 8 - 83i

Q: [x√x + 1dx

A: Here we have to integrate I=∫xx+1dx

Q: 1(3). If f(x) = 2 cos x + x³, find 06 2 4 8

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Q: Use the Inverse Function Theorem to find (p-¹) (2) given that p(x) = √√x - 7. Note that p(−11) = 2.…

A: The solution is given below

Q: cel You are driving away from home. At noon, you are 212 miles away. Your velocity (miles per hour)…

A: This question is related to distance and speed, we will solve it using given information.

Q: f= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the…

A: Please refer too the image below

Q: (t² + 2t) dx = 2x + 8, x(1) = 1 dt

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Q: Evaluate the integral. (Use C for the constant of integration.) tan³(x) sec(x) dx

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Q: The Interior angle of a regular octagon has a measure of: CA. 120%. OB. 135% C. 45 D. 60° COC

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Q: Find the area of the shaded region. y y=x² (-2, 4) -2 A = -4 6 4 2 (1,6) |3y=2 3y=2x+16 (2, 4)…

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Q: 3. The population of a specific bacteria growing in a Petri dish is modelled by the function t P(t)…

A: Population of bacteria is  P(t)= 12000(3)t/4  a) determine the value of t when P(t) =324000  b) what…

Q: 2. If w = f(x + ct) + g(x- ct) show that c²wxx = Wtt C= constant.

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Q: Use a graph to give a rough estimate of the area of the region that lies beneath the given curve,…

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Q: 1) An ostrich runs along a mountain path with coordinates given by r(t) = ( a) What is the change in…

A: According to the guidelines in case of multipart question, we are only allowed to solve first three…

Q: A company determines that the cost of making units of commodity is C(x) = 480000 + 2.4x - 0.0008x²…

A: Given C(x)=480000+2.5x-0.0008x^2

Q: ■ Find equation of plane which is containing Points A(2,1,1) and B(7,5,2) and normal to 2 x - 3y -…

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Q: How many paths spell MANAGE? A N A A E a) 15 b) 100 c) 10 d) 20 M ΣΖ A E N G A

A: Use: Pascal's method