Find the critical numbers g(x) = |3x - 4| *please use handwriting not typing, I understand it better that way*

Q: Find the equation of the tangent line to y 32²—6x+1, at x = 2.

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Q: Solve the following DE: (1+ y² + xy²) dx + (x²y + y + 2xy) dy=0 O2y²+x²(1+x)²=C O 2y²+x²(y + x)² =c…

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Q: Identify whether the statement represents an exponential function. A population of bacteria…

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Q: (7 y² +6 x)dx + 11 x y dy=0 (*) a) Determine whether the given differential equation (*) is exact…

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Q: Express the location of (-6, -9,-7), given in Cartesian coordinates, in spherical coordinates. Round…

A: This question is related to coordinate system, we will solve it using given information.

Q: Consider the piecewise function 5t - 5 5 cos(-5t) -5-6e5t -5 sin(5t) f(t) = = t< -11 -11 ≤ t < 3 3 <…

A: For a piecewise function we can write it as a unit step function as f=f't&lt;af''a≤t≤bf'''t≥bThen…

Q: Find ƒ'(1). f(x) = ex x² + 16

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Q: Verify that the function satisfies the three hypotheses of Rolle's theorem on the given interval.…

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Q: The equation r(t) = (t)i + (√3t-16t²) j is the position of a particle in space at time t. Find the…

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Q: Find the points of local and/or absolute maximum and minimum for the function f(x)=√9-x over [1,9].…

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Q: 10. Find an area between two curves of the given equations. 3 y=-x ²³+2, y=x-3, X=-1₁ X= 1

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Q: The half-life of cesium-137 is 30 years. Suppose we have a 30 mg sample. (a) Find the mass (in mg)…

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Q: K Make a table showing the approximations and errors for n = 4, 8, 16, and 32. The exact value of…

A: To solve the integral using Simpsons and trapezoidal rule.

Q: (²) (-1) (ƒ- g)'(-1): 1) = (f+g)'(-1)

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find the derivative of the following function using the Fundamental Theorem of Calculus. F'(x) = €5x…

A: Let's find derivative of given integral function.

Q: Solve the second degree trigonometric equation sin² - 2 sin x = 0, for x, where 0 < x < 2.

A: sin2x-2sinx=0

Q: (2,-4) (0,-6) . Assuming that f(x) is of the form A · Bª, write an expression for f(x): f(x) =

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Q: Find the partial derivatives indicated Assume the variables are restricted to a domain on which the…

A: zx : hold "y" constant -- treat it as a known constant, letting only x be a variable. zy: hold "x"…

Q: The cost (in dollars) of producing x units of a certain commodity is C(x) = 4,000+ 11x + 0.1x². (a)…

A: The cost in dollars of producing x units of a certain commodity is Cx=4000+11x+0.1x2.a To find the…

Q: Find an Indefinite Integral. Show all your work So x√3x-4 dx 1.

A: To find the following indefinite integral.∫x3x-4 dx

Q: Let F(x) 3 2: = f f(t) dt, where f is the function whose graph is shown. Ay 1 2 3 4 5 16 7 t -1-

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Q: Find d2y/dx2. y=5x3/3   -2x

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Q: Calculate g(b) and g'(b), where g is the inverse of f = x - cos(x) where b = -1. g(b) = g' (b) =

A: NOTE: Refresh your page if you can't see any equations. . the given value of b is b=-1 so take…

Q: For the function, do the following. f(x) = 3/1/2 from a 1 to b = 3. Approximate the area under the…

A: We have to find the area using the two methods 1)Riemann sum using 10 rectangles 2) using definite…

Q: 6. f cos³x√sin xdx)

A: sin2x+cos2x=1∫xndx=xn+1n+1

Q: Find the local linear approximation of the function f(x)= square root of (1+x) at x0=15, and use it…

A: Linear approximation at x = a, L(x) = f(a) + f'(a) (x -a)  Therefore, the linear approximation of…

Q: Parameterize the line segment that starts at (3,2) and ends at (-10,5).

A: I am attaching image so that you understand each and every step.

Q: Parameterize an ellipse centered at the origin with major and minor axes of lenghts 12 and 2 on the…

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Q: Find dy/dx. y=-50/x5

A: y= -50/x5

Q: e of a natural y = ln √x ²-4

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Q: Determine whether the statement is true or false. ln a − ln b = ln(a − b) for all positive real…

A: Determine whether the statement is true or false. ln a − ln b = ln(a − b) for all positive real…

Q: INSTRUCTIONS: Evaluate, and simplify if needed, the following hyperbolic related expressions... (a)…

A: Three problems are given. We have to solve these accroding to their operations.

Q: Using a proper substitution, Bernoulli's equation dy dx will be reduced to the linear differential…

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Q: For the function, do the following. 1 f(x) = 2x from a = 2 to b = 3 Approximate the area under the…

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Q: Evaluate the repeated integral: a) 0 12 e² - 12 e b) 06 c) 0 24 d) 12 e) 0 24 e² - 24 e f) O None of…

A: We need to find the value of ∫-11∫1y-2∫ee23x+3yzdzdxdy

Q: Question 1. equation : y cost + 2te³ + (sin t + t²e³ − 1)y' = 0. 1: Consider the differential a)…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: The DE M(x,y) dx + (3e-4x + 7y) dy=0 is an exact differential equation if O M(x,y)=-12ye-4x-8y O…

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Q: Find dy/dx. y=-2

A: Given y=-2   We need to find dydx

Q: d²r Differential equation: = -32k -32k dt drl

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Q: determining

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Q: Use the Laws of Logarithms to combine the expression. 5 log(x) - 8 log(x + 1)

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Q: For what value of c is the function f(x) = C= C 2-1 (x+1)(x-3) z=-1 z = 1 otherwise continuous at x…

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Q: Solve the following initial-value problem: y'=x³ - 2xy; y(1) = 1 Ⓒ2y=x²-1+2e¹-x² 2y²=2x²-1+e¹-2…

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Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A: To solve the following problem of finding the volume

Q: estion Consider ta linear differential equation xy' + 3y = 2x³. (a) Find the integrating factor of…

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Q: Use differentials and the graph of g' to approximate the following, given that g(3) = 4. (Round…

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Q: (x) x + 1/2 Ax² + Bx + C (x² + D)²

A: Topic:- application of derivatives

Q: Suppose F(5) = – 7, F(9) = 4, and F'(x) = f(x). 5 9 6f(x) dx =

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Q: nd the equation of the tangent line to the curve y = at the point (5, 10). The equation of this…

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Q: 4 Evaluate the integral. [*¹²5√1-cos40 de

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