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

Q: find the solution of following differential equation using Laplace transformation. y" + 3y + 2y = ex…

A: Let's solve given diffrential equation by using laplace transform.

Q: 3 4. Find the length of the curve y = 7(6+x) 2 from x = 189 to x = 875. Submission status

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Q: 1) A pump is used to fill an inflatable mattress at a constant rate of 0.25 cubic feet per second.…

A: As per bartleby guidelines we only give first question answers.

Q: 2. Given the values for f(x) on the table, approximate the area under the graph of f(x) from x = -5…

A: Let's find approximate area under the graph.

Q: 2. Remy, a rat, is walking along a straight pipe. His directed distance (in inches) relative to the…

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Q: ♥ 82u = cos x cosy, u(x₁#) = X ₂ U (π, y) = 2 cosy 2 axdy Ans: u(x,y) = sinx sing + 2/2² + 2 cosy -…

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Q: The equation P= 15 sin (2nt) +90 models the blood pressure, P. where t represents time in seconds.…

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Q: let f(x)=x2 -9y  and  g(x)= √x. find the domain of (f o g)(x) and h(x)= 1 / (f o g)(x)

A: Let f(x)=x2 -9x and g(x)= √x. Now,        (f o g)(x)=fx                =x2-9x                =x-9x…

Q: 1. Find the area under the curve y a. f(x) = x³ [2,3] b. f(x) = 3√x [1,4] (x) over the stated…

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Q: The output of an economic system Q, subject to two inputs, such as labor L and capital K, is often…

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Q: Let R be the region that is inside the polar curve r = 3 and outside the polar curve r = 2 + sin(0),…

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Q: 4. Evaluate the double integral: L Later y¹/3 x² +1 (Hint: Change the order of integration to dy…

A: Given: I=∫08∫y132yx7+1dxdy The region bounded by the curves x=y13, x=2 from y=0 to 8.

Q: Consider y = 2 cos √√x + 2√x x sin√x a. Find dy dx' and hence find f cos√x dx b. The graph of y =…

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Q: H.W Find the maclaurin series of the following functions:- 1 2- 3- sin (3x) 1+x 4-7 cos(-x)

A: As per bartleby guidelines we only give first question answers.

Q: Let R be the region enclosed by the polar curve r (0) = 2 - 2 sin(0), as shown in the graph. y 1 1 R…

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Q: let f(x)=x +9x-1 if (f o g)(x)=x+9√x-1. find g(x)

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Q: Solve the initial value problems dy 19. (x + 1)- dx -2(x² + x)y=x+1' x>-1, y(0) = 5 dy 17. 0 + y =…

A: Given (x+1)dydx-2(x2+x)y=ex2x+1       y(0)=5, x>-1To find Solution of Differential Equation:

Q: 3) O 4 N

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Q: the tangent plane of the surface [ z=x^5+e^(xy)cosyx] at the point (1,0) O z=5x-y-3 O z=5x+y-3 O…

A: Above question is solved.

Q: Q1/ find the Eigen value and Eigen vector for the largest Eigen value if -2 2 -31 [A]= 2 1 -6 -1 -2…

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Q: A. Consider a 100-meter track used for foot races. The time it takes for a ru run the track can be…

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Q: [x²√1-x² dx

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Q: Q4/Find the slope of the line 3x-4y=-8 and then find the distance from the point P(3,-2) to this…

A: Given Equation of line3x-4y=-8To find slope & Distance.

Q: By direct partial integration, Solve the following PDES 8- 82u = COSX COSYSXUCX,t) Ex u(π, y) = 2…

A: Given ; del2u/delx del y=cosxcosy.

Q: Q1.. Find domain and range for following functions: x a) y = 1 (2 x 20 x<0 b) When f(x) = and g(x)=…

A: Let's find function domain and range.

Q: π/2 COS X 1 + sin² x dx

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Q: Find the equation of the tangent plane to the surface defined by the function f(x, y) = x³ =…

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Q: Let F(x,y)=ln(x² + y2), then answer the following (1) Find the function's domain (2) Find the…

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Q: 7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is…

A: Here we have to solve this problem by using newtons law of cooling.

Q: 9) y = вод по- 10) У th 4x 1+₂x exbx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: DIFFERENTIATE THE FUNCTIONS BELOW 3 x 8x %2 2 E (۶) ز د (ع) (1 = - Dx +

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Q: b) Find the area between the 2 curves f(x) = x² + 4- 4x and x - axes and border with the two lines =…

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Q: Evaluate the following 3 3 x4 + 2x³ + 3 X² + x + 1 x4+x² 2

A: We have to evaluate the integral.

Q: 2. Evaluate the double integral that will find the volume of a solid bounded by z=1-2y²-3x2 and the…

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Q: Je* cos x dx ex

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Q: 2. Evaluate the double integral that will find the volume of a solid bounded by z=1-2y²-3x² and the…

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Q: 1/2 cos ¹ x dx

A: The integration of the integral is cos-1x, limit from 0 to 1/2.

Q: Find the surface area of the composite figure. 14 ft 9 ft 9 ft 18 ft 10 ft SA 10 ft 10 ft 10 ft 14…

A: Concept: Area of the triangle=12base×heightArea of the square= side2Area of the rectangle=length…

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

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Q: PART I. DIFFERENTIALS Using differentials approximate the value of the following 5. √64.05

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Q: Let R be the region enclosed by the polar curve r(0) = 20 sin(0) where Y X R 1- 1 Which integral…

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Q: ∞ ∞ dx 2 x² +9

A: Given :∫-∞∞dxx2+9

Q: 5 Use Cartesian coordinates to evaluate [[[ v² av dV D where D is the tetrahedron in the first…

A: Please follow the next step.

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = -9, f'(0) = -9, f(x) = +...…

A: Topic = Series

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: Short Answer 11. Calculate X+W for X- 3) 2 and W- or explain why this operation

A: Given X=70-1423 and W=-4111-122To Find:  X+W

Q: Solve the differential equation. x dy dx = y + x³ + 3x² -2 x

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Q: Using power, product, quotient rule, and chain rules, find each derivative below. (a) (2x³/2 - 3x¹/2…

A: To find the derivative.

Q: The illustration below shows the graph of y as a function of x. Determine the kind of function…

A: Explanation of the answer is as follows

Q: 4 Find the general Solution of the following PDES • з Их + 2 Иу -Х ucx, c) - че 2 (зу-2х)12 ans3-…

A: To find the general solution of the given PDE .