Question 14 dx Transforming - using miscellaneous substitution will yield to secx + 1 1-z² A 1+z² √2-22² dz z²+z 1+z² -dz

Q: dy 53.x = dx Vx2 -4, x = 2,y(2) = 0

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Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

A: C option is false.

Q: Find the area bounded by : f (x)=e*, g(x)=e* and x = 3. A (e³-1)² e3 sq. units B (e²+ 1)² e² (e²-1)²…

A: To find the area bounded by curves

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

A: fix cost $200 20 item cost $400 here per item cost = 400/20 = $20 cost function  C(x) = 200 + 20x…

Q: Using the graph of f(a), what is the lim, f(s)? 2 00 O -1.5 8 "00

A:

Q: let W = (x₁ +₁2) be jointly discrete. valid joint pdf a random vector. Contract of W (with atleast…

A: answer is in next step

Q: 3. (D2 + 2D + 1)y = 0; when x = 0, y = 1, Dy = - 1.

A:

Q: f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

A: We have to find out the solution

Q: Find and sketch the domain of the function. f(x,y)=√y-x-8 Find the domain of the function. Express…

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Q: Question 26 Determine the integral: x²cosxdx A x²sinx-2xcosx +2sinx + C B x²sinx + 2xcosx-2sinx + C…

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Q: Let f(x)=√√3x-2 on the interval volume of the resulting solid. 43л A -unit 3 125 43л B 135 83ñ 125…

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Q: Find the area bounded by : f(x)=e*, g(x)=e¯* and x = 3. A (e²+ 1)² e² sq. units B (e³-1)² e3 (e²-1)²…

A:

Q: Where is f(a) not continuous? JAROMEN M 0 :-2 SE 4 O 0 02 O nowhere O-2 and 2 O-2 0 2

A: here in graph we see that function is not contineous at 2 and -2 value there is not contineous graph…

Q: Find the area bounded by x²y = x² - 4 and x-axis, from x = 2 to x = 4.

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Q: 2. Find an equation for the plane that passes through the points P = (2,-1,3), Q = (0,0,5) and…

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Q: √ √9-x S*/2 (B 9 ft/cos Ⓒ 18 "/2 D 95*1/2 sin Evaluating A 18 9-x² dx using trigonometric…

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Q: πT Evaluate the integral: S sin(3x)cos(3x) dx

A: We can solve this as follows:

Q: ร n=1 6 : 2n-1 3h

A:

Q: A manufacturer is planning to sell a total of 300 machines to both foreign and domestic firms. The…

A: Given problem:- A manufacturer is planning to sell a total of 300 machines to both foreign and…

Q: Find the area bounded by : f(x)=e*, g(x) = e¯* and x=3. -X A (e³+ 1)² e3 sq. units (e³-1)² e3 sq.…

A: Option (B) is the correct answer.

Q: 17. Evaluate [9e³x dx O9e³c+1 3c+1 O9e3c O9ec-3 3e³c-3

A:

Q: Find the derivative of the function at Po in the direction of u. x-y g(x,y)= xy+2 Po(1,-1), u=12i+5j…

A: Given :g(x,y)=x-yxy+2u=12i+5j

Q: Question 27 Determine the area bounded by f(x)=x²-x and x-axis. A —-unit² А B unit² Ⓒunit² D unit²

A: A detailed solution is given below.

Q: Please show work in terms of d(variable)/dt, thank you! Water stored in an inverted right circular…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = -9x² - 6xy -…

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Q: y = x Arccsc (+)

A: We have to to slove derivative

Q: 11 |_₁_f(x) dx = 0 and ² f(x)dx==1₁ 11 5 Given A Ⓡ 555 B 6 C D 킁킁 11 6 0 evaluate [²3f(x) dx -…

A: B option is correct.

Q: Question 23 en [ "_f(x)dx=0 and ["f(x)dx = 1, evaluate Given A 0 B (u) D 11 76 55 =¹3f(x) dx -…

A: We have to find out the integral

Q: y = csc 1+2x) cot(1-2x)

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Q: Let f(x)=6x²-5 to find the following value. f(t+1) f(t+1) = 0

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Q: [²³ 0 ✓1+13xdx

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Q: If g(x) = - [e' - In(2t+1)]dt, find g''(x) . dx A e* -In(2x+1) 4 B (2x + 1)² 4 C (2x + 1)² 2 D (2x +…

A: To solve the following problem

Q: Find the slope of the line if it is defined. Through (6,10) and (6,-3) Select the correct choice…

A:

Q: 1 3√x + x X Solve the integral: J 6 5 F1+x8 + c A @ c in 1 B 1+x + C © n1+x.c C C Gin|5+x²|+C D - dx

A: Explained below

Q: I5 = 2 -3 x 0(x - 1)dx

A:

Q: 4x² + 4y² = 4y - 8x + 5?

A: equation can be written as 4x2+4y2-4y+8x-5=0 ⇒x2+y2-y+2x-54=0 Recall: if the general circle equation…

Q: . Evaluate 1 4-x² dx

A:

Q: Find the area bounded by : f (x)=e*, g(x) = e¯* and x=3. A (e² + 1)² e² sq. units (B) (e³-1)² e3 C…

A: To find the area bounded by curves

Q: What is the equation of a circle having (10,2) and (6,-4) as endpoints of its diameter? x² + y² 16x…

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Q: Give the domain and range. Then, use the graph to find (a) f(-2). (b) f(0), (c) f Ay 40 & M 2 X and…

A: Answer: The solution is given below:

Q: Q1/ From the following table of values, find the approximate value of f '(1.5)? X 1.0 1.5 2.0 3.0…

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Q: Evaluate the double integral: A) 40 B) 60 C30 D) 80 ²² (3x² +9y²)dxdy

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Q: Solve for r in terms of P, n, and t: P = (1 + =) ² Or=(nP-1) Or=In(P)-1 Or = n(P-1) Or="(P-1) T=…

A:

Q: (a) Find the vertex and axis of symmetry of the quadratic functi or concave down. (c) Graph the…

A: we have to vertex and axis of symmetry

Q: Find the slope, if it exists. x = -6 Select the correct choice below and fill in any answer boxes…

A: Given x=-6 The graph is

Q: --—-^[e'-In(2t+1)]dt, find g''(x) . dx -2 If g (x) = (A) (В Ce*- D 4 (2x + 1)² e* - In (2x + 1) 2…

A: We have to solve integral

Q: Solve the integral: A In/1+ B -In|1+ x 5. 1 3X + C + C 5 x X + X x dx

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Q: Solve for x using Newton-Raphson Method: ex-x=0. Use xo= 0 as initial guess.

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Q: y= (sec ³x + tan ²x)

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Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

A: