Find the indefinite integral. Solution in handwritten b. f(x+1)√2- xdx

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: ∫0π22cos4xdx,  n=4Then ∆x=π2-04=π8The subintervals are 0,π8,π8,π4,π4,3π8,3π8,π2By midpoint…

Q: Determine the position function if the acceleration function is a(t) = 6sin t+5, the initial…

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Q: Find the indefinite integral. Solution in handwritten a. S sin x -dx cos²x

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Q: Solve the system using Cramer's Rule. - 6x + 6y3z = 15 x - 2y + z = 7 4x5y4z = - 28 Find the…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² + 8 1 = lim t+x6t²+7'2t (?, ?)

A: Explanation of the answer is as follows

Q: Find fogo h. f(x) = x – 5, g(x) = Vx, h(x) = x – 5 %3D

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Q: Calculate the line integral of F(x, y) = -4i + 5j along the line segment from (-3,-4) to (-5,0).…

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Q: 6. The initial population of a town was 12000. After 5 years the population increased to 38000…

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The equation below gives parametric equations and parameter intervals for the motion of a particle…

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Q: Problem 5. A cup of coffee has temperature of 200 degrees Fahrenheit and is placed in a room that…

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Q: y= v-2² +2²-2x+ 8 (a) Find y'= f'(x). f'(x)=x²+x-2 (b) Find the critical values. (Enter your answers…

A: Solve it

Q: Find the indefinite integral. a. fsecy (tany - sec y )dy b. f(x²-9)(2x)dx

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Q: (x, y) is equal [where we set It is known that the area of a polygon with vertices (x1.₁), (x2.2).…

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Q: What is the derivative y^2 = 64 with respect to t? O 2x dx/dt + 2y dy/dt = 0 O 2x dx/dt + 2y dy/dt =…

A: Given that,  x2+y2=64

Q: Find the area of the region enclosed by the inner loop of the curve. r = 2 + 4 sin ?

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Q: 3. Graph the hyperbola, put the equation into standard form and identify the asymptotes, vertices,…

A: The given hyperbola equation,      9x2-4y2-36x+8y-4=0

Q: 6) The variables x and y satisfy the differential equation X = y(1-2x²), dx and it is given that y =…

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Q: Problem 4. Part (a) Part (b) 5ln(3-x) = 4 Do both parts. Write the sum using sigma notation:…

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Q: Write down the matrix A that represents the linear transformation ƒ : R² - (a) R² (i.e. so that f(x)…

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Q: [ID # ending in 4 or 7] 2 Əv Determine ( + ду 2²v ах ду if v csch y = ex².

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Q: Given sinα=0.802 and sinβ=0.812 with both angles' terminal rays in Quadrant-I, find the following:…

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Q: Ⓒ Given SS² +8 dy dx. Reverse the order of in tegration and evaluate. Draw the region.

A: In the given problem first we draw the region then reverse the order of integration and after that…

Q: Find the curvature and the radius of curvature at the point t = 0. x = e cos(t), y = et sin(t), z =…

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Q: #6

A: Topic:- application of integration

Q: [ cos² 2x sin² 2x dx

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Q: If F(x) = f(t) dt, where f is the function whose graph is given, which of the following values is…

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Q: Solve the system using Cramer's Rule. - 6z + 2y + 6z = – 14 - 3z - 4y + 5z = – 6 - 5z + 3y –2z = 1…

A: To solve the following system of equations bu using Cramer's…

Q: If sint = 4/5 and t is in the first quadrant, find cos(2 t) -7/25 -9/25 7/25 24/25 None of these

A: There is more than 1 question, as per the Q&A guidelines I am answering the 1st question. If you…

Q: Solve the given differential equation by undetermined coefficients. y'' + y = 6x sin(x)   y(x)=

A: Follow step 2nd .

Q: Let the graph below represent f(x). For which values of x is f(x) increasing? 20 16- 12- -5-3-2 8+…

A: The graph of the function f'x is To evaluate: The values of x for which fx is increasing.

Q: a²z 0²z Determine + Ər² მ02 if z = tan-1 0 r + r r²+02

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Q: Dividing the polynomial P(x) by x-1 yields a quotient Q(x) and a remainder of 4.  If Q(-1)=3, Find…

A: P(x) =Q(x) (x-c) + R(x)when the factor is (x-1)R(x)=4P(x)=Q(x) (x-1)+4P(1) =0 +4P(1) =4

Q: H.w.2 Evaluate the following cartesian integrals by changing them into equivalent Polar integrals: 4…

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Q: Show the repeating decimal .2727272727 repeating.... as an infinite geometric series. Give sum of…

A: This question can be solved using the concept of infinite geometric series.

Q: the curve x=l-5¢, y=4€²-1 (0=ts) lengin find the arcC kngth of the curve x=1-. (ux calculator to…

A: This question is based on length of a parametric curve calculated using definite integral.

Q: 4. Find the volume of the solid that lies under the paraboloid z = x? + y² and above the region R in…

A: We want to find the volume.

Q: Hamzah who is 5 feet tall is walking away from a lamp post at the rate of 30 feet per minute. When…

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Q: Which of the following are vertical asymptotes of the function f(x) = 5x(x-2)(x+4)² (x²-4) (x²-16)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find and classify the critical points of f(z) = 82°(8 - z)7 as local maxima and minima. %3D Critical…

A: Critical points are the points of a function where the derivative does not exist. local maxima: the…

Q: +² = x² dx

A: We have to solve the given differential equation

Q: analyze and trace the given curve y = x / (1 - x)2

A: To solve the following problem

Q: Find an equation of the tangent line to the graph of the function at the given poin y = x²ex - 2xex…

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Q: 2.Figure out the following = 2t2 +Int, t>0 dy. = cos(t – 1) c.f(z) =| -1|,9(z) =| 1.f'(1)?g/(0)? ?…

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Q: A company plans to manufacture rectangular boxes with no top that have volume 12 cubic feet. The…

A: Given problem:- A company plans to manufacture rectangular boxes with no top that have volume 12…

Q: Find the differential equation of the family of circles of fixed radius r with center on the x-axis.

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Q: The Cartesian equation of the straight line tangent to the plane curve given parametrically by the…

A: Explanation of the answer is as follows

Q: 2) Sketch the curve with the vector equation r(t) = costi- costj+ sin tk. Show the direction of…

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Q: 1. JC y = f(x) is transformed to g(x) = 3 f (2x – 6) + 9. The domain and the range of each function…

A: Solving

Q: Evaluate S(-x+y+z)dx + (x+y-z)dy + (x-y+z) dz where C is the line segment from (-1, 2, 3) to (3,-2,…

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