Given: f(x) = 2x³ + 6x² f(x) on [-1,3]. A. 165 B. 109 C. 57 D. 51 E. NO correct choices O O OO C D E C A B 48x + 5. Find the ABSOLUTE MAXIMUM value of

Q: Find the derivative of y = (2x³-6)*(3x-2)2

A:

Q: L4Q15. In a display, there are 50 toys in the first row, 45 toys in the second row, and so on in an…

A:

Q: What is the value of the integral Select one: O 64 O 16 O None of these O 32 08 0 X 2xydydx?

A: Given: I=∫04∫x42xydydx   As we know the Power rule: ∫xndx=xn+1n+1+C

Q: bn || идә

A:

Q: Question 2 el: Determine whether the following functions are linearly dependent or linearly…

A: The objective of the question is showing that given functions are linear dependent or independent.

Q: Evaluate f x²-x-5 x(x²-x-2) dx

A:

Q: S 2 1-a Select one: O True O False e²e³dydx = - (₁ e²d²) (²* eºdy) (² dx 2

A: Given :∫01∫21-xexeydydx=∫01exdx∫21-xeydy

Q: State the range of f(x): {y € Ry> 4 -3} {ye Ry - 4 3 {y € Ry#0} {y € Ry>0} } = 1 3x +4'

A:

Q: Differentiate from the first principle f(x) = x² +6x² + 3

A:

Q: Consider the implicit function. e' = sin (6x) Determine the formula for in terms of x. dy dx

A: Here we have to find the derivative.

Q: -√x Q3. Change the order of integration and evaluate f* f* dy dx.

A: We can solve as follows

Q: Q2. If F = (x² - y² + 2xz)ī− (2xz − xy + yz)j + (z² + x²), find the divergence of curl F and curl of…

A:

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. f(x)= (1 +5x)(3-2x)…

A: topic- derivative and equation of tangent line to function

Q: Use the Product Rule or Quotient Rule to find the derivative of f(x) = O None of these. f'(x) =…

A:

Q: Q4. Let R be the annular region lying between the two circles x² + y² = = 1 and x² + y² = 16.…

A:

Q: Find linearly independent functions that are annihilated by the given differential operator. (Give…

A: The characteristics equation is (m-3)(4m+5)=0. So,                   m-34m+5=0⇒m-3=0  or…

Q: A boat is being pulled toward a dock as shown in the figure to the right. If the rope is being…

A: Let X be the distance of boat from dock (which changes with time ) And y be the length of rope  (…

Q: 2. f cos²xsin² xdx

A:

Q: Solve for the DE of: y = C₁+C₂e7x O y'-+7y=0 Oy" - 7y¹ = 0 Oy'-7y=0 Oy" + 7y¹ = 0

A: The given equation is;  y=C1+C2e7x.

Q: Solve the given differential equation by undetermined coefficients. y" - y' - 30y = e6x y(x) =

A:

Q: A box with an open top is to be constructed from a 4m x 3m rectangular metal sheet, by cutting out a…

A:

Q: Use the indicated change of variables to evaluate the double integral. JS4 4(x² + y²) da X = = 1/2…

A: Let's solve given double integration by changing variables.

Q: 9 outside cardioid r = 1 + cos 0 inside circle r = 3 cos ( 10 lemniscate ² = 4 cos 20 outside r = =…

A:

Q: Question 1 options:   A vector has initial point (-5, 8) and terminal point (0, 2). Write the…

A: let initial point A (-5,8)=(x1,y1) terminal point B(0,2)=(x2,y2)

Q: Find the average temperature in the box D= ((x,y,z): 0≤x≤ In 3, 0sys In 9, 0szs In 27) with a…

A:

Q: Find the divergence and curl of the vector field F(x, y, z) = (xy — 2², 2x+cos(yz), 2y² - sinz) at…

A: Here we have to find the divergence and curl of given vector field.

Q: Find the work done by the force field F on a particle moving along the given path. F(x, y) = xi +…

A:

Q: Find the marginal average cost function if cost and revenue are given by C(x) = 190 +3.6x and R(x) =…

A:

Q: A town's population t years from now can be estimated from the formula P(t) = 8500+ 450t - 44√t.…

A:

Q: The graph of y = f(x) is shown below (dashed curve). Manipulate the green draggable points to obtain…

A: Given data ÷ Graph of y=fx is shown with dashed line curve. We need to graph  y=2fx+1-4

Q: Find an equation of the tangent plane to the parametric surface + = Z= Note: Your answer should be…

A:

Q: Find the transition points. f(x) = x(17- x)¹/3 (Use symbolic notation and fractions where needed.…

A:

Q: How long, to the nearest year, will it take an investment to triple if it is continuously compounded…

A: We can find the required year in the following steps.

Q: The graph of which of the following rational functions has a hole (donut hole, a point of…

A:

Q: The terms of a series are defined recursively by the equations Select the correct answer. a₁ = 4 +1²…

A:

Q: Enter the absolute amount and argument for the number 3/2 √ 2+ 3/2 √2 i.

A:

Q: 3) y(³) − y(¹) = cos(2x). —

A:

Q: For the function f(x) solving f(x): = 0. Type in x_n for n Xn+1 = - x² - 4, write Newton's formula…

A:

Q: y(x) = 4x²y" + y = 0, y(-1) = 6, y'(-1) = 3 , x < 0

A:

Q: Find the exact values of the six trigonometric ratios of the angle 8 in the triangle. sin(8) "…

A:

Q: Use the properties of infinite series to evaluate the following series. k 20*30*] Σ + 6 4 5 6 k=1

A:

Q: (c) Consider a hemispherical bowl of radius r containing water to a depth h. (i) Find the volume of…

A: We need to find volume and rate.

Q: Given: f(x) = x³ – 6x² − 15x + 7. Find the LOCAL MINIMUM point of f (x). A. (5, ƒ (5)) B. (−1, ƒ…

A:

Q: f _____________, then the graph of the polynomial function is symmetric about the origin. A.f(x) =…

A: Note that, a function that is symmetrical with respect to the origin  is called an odd function.

Q: dx Assume that x = x(t) and y = y(t). Let y = x³ + 3 and ==5 when x = 3. dt Find dt dy dt when x =…

A:

Q: What are the three cases we must consider for finding horizontal/slant asymptotes?

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A:

Q: O This option Question Consider the function: f(x,y)=-²+²-by+y-1. If 4011) is a critical point of ƒ…

A:

Q: Determine whether each of the following vector fields is path independent (conservative) or not. If…

A: Solution is given below:

Q: Case problem: a) A Cement company hires you to provide financial information to their Finance…

A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is  and the…