if y = (x - 1)(2-3x)² Determine the slope of the tangent at (1, 0) 0-1 01 0-5 05

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A: solution is given below

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Q: [₁₁ ) If nd f*. f(x) dx = 4 and g(x) dx = 1, what is the value of ولاء f(x)g(y) dA where D is the…

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Q: =) 2 -1 -4dx 9x² +30x+25

A: To evaluate the integral.

Q: Evaluate the triple integral: 元 SS1² S² π/2 O 0 12p sin p cos 0 dp do do

A: The answer is given below:

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Q: Evaluate ff (2x+5y+z) ds (2x+5y+z) ds where the surface S is given by S S: z=15-2x+3y, 0≤x≤1, 0≤y≤2.

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Q: 37) y = 9 ln x √ 0 0 te the integral. cln 3 38) et dt e2x dx

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Q: How would you express a line with a zero slope? x = 0y - b y = 0x + b x = 0y + b y = 2x - 2b

A: Solving the problem by finding the zero slope equation.

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Q: Which linear equation has the solutions (2, 4) and (-2, 6)? y = 2x + 8 y = (1/2)x + 3 y = (-1/2)x…

A: The given problem is solved below in steps.

Q: Evaluate the triple integral: π/2 2 S*S*¹² S² π/2 O 0 12p sin cos 0 dp do do

A: Given that a triple integration and we solve this integration by using general property of…

Q: To find the inverse of a function, simply switch the x and the y and solve for the new "y" value.…

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Q: Find an equation for the hyperbola described. Graph the equation Foci at (4,9) and (8,9); vertex at…

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Q: [x=t+1 B- Find an equation plane pass through point (1,0,0). If the line L₁ y=-2t Z -3t…

A: Given: 1,0,0 x=t+! y=-2t z=-3t

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Q: Use the Principle of Mathematical Induction to show that the given statement is true for all natural…

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Q: breakeven

A: A point (x,f(x)) is said to be break-even point if revenue is equals to cost.

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A: Find domain & range

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Q: Given the functions f(x)=√x² + 49 and g(x) = x4 fog would be equal to? O√x +49 O√x¹ +49 Ogof (x²…

A: The given functions are fx=x2+49 and gx=x4

Q: Assuming the pattern continues, what is S₁2 for the series -8-15-22-29 -...? -565 -85 -510 O-558

A: Option d is correct.

Q: Which of the following polynomials has an odd degree and a positive leading coefficient? W O -10-947…

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Q: =ind. SE S 25453

A: Let's find inverse laplace of given function.

Q: What is the inverse of the function f(x) = 3(x + 2)²-5, such that x < -2? OF-¹(x)=-2+. 3 5…

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