the one property of logarithms to solve. Enter the exact answers. x- In (2²6) + In (9) = In (10) The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6. x + 1; x-1). cy

Q: Solve 2 sin² (t) - 3 sin(t) + 1 = 0 for all solutions on the interval 0 < t < 2. Your solutions must…

A: given 2sin2(t)-3sin(t)+1=0

Q: Suppose the volume of water, Vm³, in a container satisfies the equation V = x³e-x², where xm is the…

A:

Q: (6) Change the following integral to cylindrical coordinates. Do not evaluate the integral L 1-7²…

A: ∫-11∫-1-x21-x2∫x2+y22-14-4x2+y2x2+y2+1dzdxdy

Q: Let f be the continuous function defined on [-4, 3] whose graph, consisting of three line segments…

A: the graph given to us consists of the three lines and semicircle and the function is continuous on…

Q: Question #16 - If I wanted to find the average rate of change for a function f(x) between x=2 and…

A:

Q: Q10 Compute ²₁(2x - 1)dx

A:

Q: This question is about plotting two points and drawing the straight line through them. Which TWO…

A: The equation of line y=-6x+2

Q: Question #9 to the function The Population of Palatine is growing exponentially according…

A: According  to question,Given function,Pt = 37 e0.015t

Q: Q7 Assuming y = f(x), compute [3xy²] dx

A: The function is y=3xy2.To find : Compute ddx3xy2

Q: S (26-7)6 This can be transformed into a basic integral by letting Consider the indefinite integral…

A:

Q: Example 2:- if f(x) = 0.2 + 25x-200x² +675x³-900x¹ + 400x³ 0.8 Find f f(x)dx using composed…

A: fx=0.2+25x-200x2+675x3-900x4+400x5 Trapezoidal rule ⇒∫abfxdx≈∆x2fx0+2fx1+2fx3+.....+fxnHere ∆x=b-an

Q: 19. C = 4500 + 1.47x

A: For a cost function C( x ) , marginal cost function is given as marginal cost function = ddxC( x )

Q: Find an equation of the plane. the plane through the points (4, 1, 4), (5, -8, 6), and (-4, -5, 1)

A:

Q: Question #1 -Let the revenue of a refrigerator be given by the equation R(x)=280x-0.4x² x = number…

A: Given: Revenue function R(x)=280x-0.4x2 And   Cost function C(x)=5000=0.6x2 We have to maximum…

Q: cos(at)dt fors> Problems In each of Problems 1 through 3, sketch the graph of the given function. In…

A: f(t)= tsin(at) We have to find the Laplace Transform by integrating by parts

Q: 1 3 2 1 To find the blue shaded area above, we would calculate: b [ f(x)dx = area a Where: a= 2 3 4…

A: To find the blue shaded area.

Q: 7. Question 7 Find the derivatives of the following functions: a. y = √x³ c. y = sin² (x²) b. y = x…

A: (a) y=x3

Q: 8. A circle is centered at the origin, with a quarter of the circle shown in the diagram below

A: We can obtained the various 3D figures by rotating the 2D figures The shape and size of the 3D…

Q: Let y = tan(4x + 3). Find the differential dy when x = 2 and dx = 0.2 Find the differential dy when…

A: given y=tan(4x+3) we know d dx(tanx)=sec2x

Q: Question # 31 - If the profit function for a company is P(x) = 0.4x²-300x-3000 where x is the number…

A: To find the marginal profit, we need to differentiate the profit function P(x) with respect to x,…

Q: Approximate the following integral by computing the Trapezoid and Simpson approximations using 4…

A:

Q: The acceleration of an object (in m/s²) is given by the function a(t) = 6 sin(t). The initial…

A:

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

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Q: Find a correct to 2 decimal places. NOTE: The triangle is NOT drawn to scale. x2 94 56° X 29°

A:

Q: Evaluate each arithmetic series described. 15 3) Σ (5m – 12) m=1 A) 840 C) 420 B) 856 D) 1724

A:

Q: (Use symbolic notation and fractions where needed. Use C for the arbitrary 70 2 (x + 1) (x² +9) ² dx…

A: To integrate the following question.

Q: Question #6 - Find f(x, y) for the function below. f(x, y)=3x²+2y² + 3xy³ a) f(x,y)=4y+9xy² c) f(x,…

A:

Q: A cylindrical can is to be made to hold 0.5 L of oil. Find the dimensions that will minimize the…

A: Capacity if can is 0.5L We have to minimize rhe surface area of metal used to make can

Q: a) Give an example of a function f : [−2, 3] → R which is not continuous at 1 but which is…

A: In both part , we will find the example of the function.

Q: Use the antiderivatives of trigonometric functions to evaluate the following. 3. f3 sec² x dx 4. f10…

A:

Q: Given f(x, y) = sin(x+y) where x = s5t4, y = 5s - 4t. Find f.(x(s, t), y(s, t)) = | f(x(s, t), y(s,…

A:

Q: Solve the differential equation. dy dx 3.2 3³3x² + y = 2 = + C 3x√√y X for y # 0

A:

Q: + V -3 -4 -6- -7 The graph above shows the base of an object. Compute the exact value of the volume…

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Q: The graph above shows the base of an object. Compute the exact value of th that cross sections…

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Q: Find an equation of the plane. the plane through the point (2, 5, 3) and with normal vector 6i + 9j…

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Q: Question 10 (part b) - Please show work

A:

Q: Approximate the area under the curve graphed below from =3 to 2 = 7 using a Left Endpoint…

A:

Q: Suppose that R is the finite region bounded by y = x, y=x+4, x=0, and x = 2. Find the exact value of…

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Q: Q.7. Find the value of the hypothenuse and the value of the angle 0 a) Expressing the exact value of…

A:

Q: Suppose that f(x)=cos(3x+π/4). Evaluate the integral ∫f(x)dx giving the answer in exact form.…

A: solution given below

Q: Evaluate the definite integral E14 2 csc² 0 de

A:

Q: 6. Solve: y"(t) = te', y(0)=0, y'(0)=1

A: Given data y"(t)=tet  y(0)=0, y'(0)=1

Q: 21 22 Question 2.2. Let Z1 = −1 + 5é and Z2 = 3 + 3. Find the real part of -1 1 23

A: given Z1=-1+5i and Z2=3+3i

Q: Q1 Evaluate [f(x)g (x)] at x=-2 given f(-2) = 5, f'(-2) = −4, g(-2) = 3, g'(-2) = 7. (d) -4 (a) -84…

A:

Q: Use implicit differentiation to find -1 3 tan x + sin y= at the given point P. dx ¹y=: P(1,-1)

A:

Q: Differentiate the implicit equation with respect to x. x³ + y³ ln(x) + e²y = 5

A:

Q: Q2: Find the area for the region lies inside the circle on the left of the line (0 = I ) (r=2 sine)

A:

Q: Question #10 following. Use the function f(x)=x²-x² - 6x +3 to answer the -32-2²-

A:

Q: Approximate the area under the curve graphed below from = 1 to x = 5 using a Left Endpoint…

A: To approximate the area under the curve graphed below from x=1 to x=5 using a Left Endpoint…

Q: Question 3 a) What conditions on the functions g(t) and h(t) must be satisfied for the differential…

A: