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

Q: Let f : R 7−→ R be defined by f(x) = 2 − 5x. Show that f is bijective, and find f^(−1)(x).

A: Let f:R→R be defined by f(x) = 2 - 5x.

Q: What is the equation of the tangent line to the curve y = at point (0,0)? O none of the choices O y…

A: Tangent line

Q: Given a second order differential equation dx 2x = e³t dt where t = 0, x = -5. Using Laplace…

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Q: II. Find the inverse of each matrix. -9 6 2. 4 -8

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Q: Solve the general solution of the following linear differential equation: (y-cos²x) dx + cosxdy = 0

A: Given (y-cos2x)dx+cosxdy=0To find general solution:

Q: ع لح ل(۸ + ")APNPLPLg للع(۸

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Q: strip.

A: y-axis using the horizontal strip ,  y = 0 , x = 4/0+1 , x=4  so y-axis at x=4 and y= 0. Area of…

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Q: If lim f(x) = -∞, then which of the following is TRUE? I-0 O None of these. Ox= = 0 is a vertical…

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Find the first and second derivative of the function. 3 G(r) = √r + √r G'(r) G"(r) || =

A: Find the derivative

Q: Evaluate the following * Sete e7x-³dx O e^(7x-3)/3 + C O e^(7x-3) + C - e^(7x-3)/7 + C O e^(7x-3)/7…

A: We will use substitution method to solve the integral

Q: Solve the given differential equation. All solutions should be found. dy x³-8y dx x NOTE: Use c for…

A: The given first-order differential equation is: dydx=x3-8yx⇒dydx=x2-8xy⇒dydx+8xy=x2...(1)

Q: y"" - 4y" + 3y = 0

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Q: [(x²-y²)²] x+y -2 LEK 1J0 du dt

A: We have to find value of given double Integral.

Q: ¹₂1 + 2y dy dx x2

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Q: 1. Find the area between the curve f(x)=√x and g(x) = x³.

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Q: The functions f₁(x)=e(x+a), f2(x)=e(x+b), and f3(x)=e(x+c), where a, b, and care constants, are…

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Q: 2. Express the iterated integral as a double integral in polar coordinates. 1 X 1 Lo dy dx 16/2 x² +…

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Q: Solve the given differential equation. All solutions should be found. dy 3x²-8y- y³ 8x + 3xy² dx…

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Q: 6. The value of A. sin ¹¹x + √1 + x² + C B. sin-¹ x - √1 + x² +C C. sin-¹ x + √√1- x² +C D. sin…

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Q: II. Find the inverse of each matrix. 5 -11 -9 1. -7 DO 8

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Q: Suppose that a volcano is erupting and readings of the rate r(t) at which solid materials are spewed…

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Q: Determine how the function f behaves at infinity. f(x) = (x³∕2x³) + (2/5x) -2

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Q: 2. Evaluate all of the integrals. b. 2|x - 21 dr

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Q: 3(a) The cost of manufacturing motor cycles (per day) is related to number to number of motor cycles…

A: Here we have to use the concept of derivatives.

Q: Find the area of the region above the curve y = x^2 - 6, below y = x, and above y = − x.

A: Given region bounded above by  y=x2-6  and y=-x  and bounded below by y=x

Q: Evaluate: £²³₂ £²₁ ₁²[z³(x + y)³] dz dy dx

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Q: 5x -3 2 Evaluate: f fx fdz dy dx 3x 2

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Evaluate: ³₁² [(x² - y²) ² x+y 21 du dt

A: The integration of the double integral is  (x2-y2)2/(x+y)

Q: (x²-y²)²1 Evaluate: ₁²² du du dt x+y

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Q: 3 Evaluate: ₂(4x²y - z³) dz dy dx

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Q: Evaluate: 2[z³(x+y)³] dz dy dx

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Q: The derivative of sec² 2x (cos² r - sin² x) with respect to a is O2 sec 2x tan 2x O4 sec² 2x cot 2x…

A: Find the derivative

Q: Consider the parametric curve: x = ln (8t) y = 5t³ Which integral gives the arc length of the curve…

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Q: Evaluate the integral: S2 S² sin (=) dt du π/2

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Q: t√√t + ,2 + t dx

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Q: Evaluate: ₁³₂₁(4x²y — z³) dz dy dx -2

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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: ¹₁¹+x² x + 2y dy dx -12x²

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Q: (5) If f(x) =.... then f(x) is reducible in Z5[x]. (i) x³ + 2x² + 2x + 1 (ii) x² + 1 (iii) x² + 2

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Q: A third-order differential equation has a general solution of: y=e-2x(C₁ + C₂cos8x + C2sin8x).…

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Q: Evaluate the definite integral. 8 [x√x - 7 dx 5.06

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Q: I. 7. Evaluate each determinant. -3 4 -5 2 -3 -5 1 3 5

A: To evaluate the determinant -34-52-3-5135

Q: 7. s sec² cot √sec4-2 sec²-3 dø

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: b. Two passenger airplanes left the same terminal at the same time. One plane flew due north at an…

A: