Evaluate the integral. (Remember the constant of integration.) X 40 sin(50) du

Q: Write the augmented matrix of the system and use it to solve the system. If the system has an…

A: Firstly, write the given system in the augmented matrix and then use the row operations to find the…

Q: Sketch a graph of f(x) = = 5 4 3 2 1 -5 -4 -3 -2 -1 Clear All Draw: 7 -1 -2 -3 -4 - 1 2x I 2 1 2 3 4…

A: The given function is: f(x)= (-1/2)x -2

Q: For the​ function, find the points on the graph at which the tangent line is horizontal. If none​…

A: The objective of the question is to find the points on the graph of the function f(x) = 6x² - 2x + 5…

Q: Find f(0) and then find the equation of the given linear function. f(0) = f(x) = X f(x) -4 -3 -2 -1…

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Q: Find Tim -5 lim-p 5 X ← √x² +9 2 x² +9

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Q: Find the derivative using the chain rule. f (z) = sin (9e²)

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Q: 2 12x 516=8 -

A: 2⋅|2x−5|−6=8

Q: Evaluate the following Integral: Scos (3x+2)dx Select one: O a. 3 8 O b. O c. 00|w 3 300 8 X+ O d. 3…

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Q: Both verbally and in written form, find and explain the domain and range of y = x^2 + 1?

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Q: do 2nd question as well

A: To find the equation of the line tangent to the curve  at the point  on the curve.

Q: Use the graph of y = f(x) and the given c-value to find the following, whenever they exist. (If the…

A: we will check the limit of the given graph at the given point.

Q: I have 8 coins in my pocket, some are quarters and some are dimes. If I have $1.10 in my pocket, how…

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Q: First find f' and then find f. f" (x) = 2x³ + 10x² + 6x +1, ƒ'(1) = 4, f(1) =-10.

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Q: Evaluate the derivative at the given value of x.

A: The objective of this question is to find the derivative of the function y = 4√(x³) - 5√x at x = 16.

Q: Evaluate the line integral (92 + 5y)da +(3r – 7y)dy along the - curve C: x = 4 cost, y = 8 sin t (0…

A: To evaluate the line integral along the curve C:

Q: Pls help ASAP

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Perform the indicated operation and fully simplify the result 4a²-9 2a³+3a²+2a+3 6a²-7a-3 a² + 1

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Q: Graph the given equation. 4y = 5 S -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 10 9 8 7 6 5 4 3 2 1 T 1 2 3 4 5 6…

A: The given equation is

Q: Verify that y = re³ is a solution to the differential equation y" - 6y + 9y = 0.

A: Consider the differential equation

Q: Question content area top Part 1 By determining f′(x)=limh→0f(x+h)−f(x)h​, find f′(6) for the given…

A: The objective of this question is to find the derivative of the function f(x) = 7x² at the point x =…

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

A: Solution-

Q: Let a = (-5,3,-2) and b=(4,-4, k). Find & so that a and b will be orthogonal. k =

A: The objective of the question is to find the value of 'k' such that the vectors 'a' and 'b' are…

Q: Find the integral using integration by parts. fx lnx dx Select one: ○a. Sxinx dx = x²(8inx-x)+C 64…

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Q: In a new suburb, it is estimated that the number of registered voters 3. will change according to 3b…

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Q: At x = -2 the function y = false O true 5 is differentiable but not continuous.

A: Any differentiable function is always a continuous function. However, a continuous function doesn't…

Q: x³+27= 3

A: P(x)=x3+27

Q: The table below gives selected values for the differentiable and decreasing function f and its…

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Q: The graphs of two functions f and g are shown below. 篇 -5 * Preview Preview n 1 1 a. Write a…

A: The objective of the question is to write the function formula for g using the function f and vice…

Q: 1. Solve the following differential equations. dy a) = (y - 1)(y + 2) sin x b) c) y' y d) y' = y² -…

A: Solution is following in explanation step.

Q: Se sin9vdv Select one: O a. O b. O c. O d. O e. -7 sin9v +9cos9v 130 7sin9v9cos9v 130 7sin9v +9cos9v…

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Q: Given f(x) = 3x - 6, find the following. (a) f(-1) (b) f(0) (c) f(1) (d) f(y) (e) f(a + b)

A: The given function is

Q: f²r²e-³dx Select one: O a. 3(1-e-8) O b. - (1-e-³) (1-es) O c. O d. 1-e-8 O e. -3(1-e-8)

A: The expression of the definite integral is given byTo determine: the value of the integral.Formula…

Q: In t​ years, the population of a certain city grows from 600,000 to a size P given by…

A: The objective of the question is to find the growth rate of the population, the population after a…

Q: The dimension of a rectangular shape cardboard are 8 x 3 cm rotated about the axis of 8 cm to form a…

A: The dimension of a rectangular shape cardboard are 8 x 3 cm rotated about the axisof 8 cm to form a…

Q: 21. lim x→7 3. /x + 2 x

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Q: Task 1 The variation of resistance R ohms, of an aluminium conductor with temperature º C is dR…

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Q: If f3 g(x) dx = 12 and ₁ g(x) dx =-5, then f¹3 -3 g(x) dx = A)-7 B)-17 C) 7 D) 17

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Q: 1512 + 591825

A: Consider 1512 + 591825

Q: 2. Given the graph on the same set of axes. ofy - f(x), sketch a clearly labelled graph of y = f(x)…

A: Given the graph of , to sketch the graph of  on the same set of axes.

Q: X lim x→1x² + 4

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Q: Evaluate each expression based on the following table. X f(x) (a) f(2)= f(-2) -3 -2 2 3 -101 5 3 -2…

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Q: Differentiate.

A: The objective of this question is to find the derivative of the function f(x) = x (x² + 5) (x³ + 3x…

Q: 1. The loudness, L, of a sound in decibels (dB) can be calculated using the formula: L = 10 log),…

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Q: Solve the following differential equation with the given initial condition y = 1²e-3y, y(0) = 2.

A: given differential equation

Q: A rock is thrown upward from a bridge that is 96 feet above a road. The rock reaches its maximum…

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Q: Find the distance from the line x = 2 + t, y = 1 + t, z = (1/2) (1/2)t to the plane x + 2y + 6z =…

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Q: Find the derivative using the chain rule. f (b) = (sin (26)) 5

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Q: If y= 8 find y' (4).

A: Given that the expression

Q: If lim [f(x) + g(x)] = 9 and lim g(x) = 10 find the following. X-2 X-2 (a) (b) (c) lim_f(x) X-2 xim…

A: Given,

Q: Simplify csc²(t) - 1 csc²(t) to an expression involving a single trig function with no fractions. If…

A: The objective of this question is to simplify the expression csc²(t) - 1 into an expression…