using integration by parts, evaluate the following: ∫ arctan4tdt

Q: he rate of change of the number of raccoons N(t) in a population is directly proportional to 380 −…

A: Given that the rate of change of the number of raccoons N(t) in a population is directly…

Q: Let f(x) = 4x5/4 + 4x3/2 + 8x. Find the following. (a) f '(1)   (b) f '(16)

A: f(x) = 4x5/4 + 4x3/2 + 8xFinda) f'( 1)b) f'(16)

Q: [2² e2x cos 3x dx

A:

Q: The unit cost, in dollars, to produce bins of cat food is $8 and the fixed cost is $23798. The…

A: Since you have posted questions with multiple sub-parts, we will solve the first three for you. To…

Q: Find the product of -2 + 1i and its conjugate. The answer is a + bi where The real number a equals…

A: Note: Due to guidelines, I can solve only the first questionTo find the product of a complex number…

Q: -5 -4 -3 -2 -1 5 4 3 2 1 --1 -2 -4 -5 3 4 5 a

A:

Q: The cost, in dollars, to produce a designer dog leashes is C(x) = 8x +4, and the price-demand…

A:

Q: Find the standard form of the equation of a circle with center (3,8) and touching the x-axis. Graph…

A:

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: Given

Q: 4-x-x² 2x - 1 Evaluate the following expression. For f(x) = if x ≤ 1 if x > 1, lim f(x) x→1

A:

Q: Example 1.1. The point P(-2,2) lies on the curve y = √2-x. (1) Sketch the curve and the tangent line…

A:

Q: Find the given limit. 2 lim √√x² - 1 X→1+

A: Limx-1-1).

Q: 3x² - 4x + 9 s x³ + 6x² + 9x 3 Evaluate the integral using partial fractions. dx

A:

Q: The graph of an equation is given. a. Find x and y-intercepts. b. Find symmetries (if any), about…

A: Given graph of ellipse

Q: (2) Evaluate the following integrals S -0.5x dx 5e

A:

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. 3 x³ 1 y =…

A:

Q: Supply & Demand In supply (and demand) problems, Q is the number of items the supplier will produce…

A: the supply equation is Q = 9p+442the demand equation is Q = -7p+874

Q: Use logarithmic differentiation to find the derivative of the function. e2x(x3 - 2)4 x(3e5x x + 1)…

A: f(x)=e2x(x3−2)4x(3e5x+1)

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. 2=x4 6xy…

A: z= x4-6xy + 2y3We have to find partial derivativei.e. differentiate z with respect to one variable…

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1…

A:

Q: (b) | 2 √ed eva dx

A:

Q: Determine the equation of the line that goes through the point (2,2) and is perpendicular to the…

A: To determine the equation of the line that goes through the point and is perpendicular to the line .

Q: ty Continuity of Precewise Functions and TVI Continuity of Piecewise Functions and IVT xternal tool…

A:

Q: 3. Find f(x) f(2) for the function x - 2 lim T→2 a. 0 b. DNE c. 24 d. 36 3x3-4-20 X-2 3 f(x) = 31³-4…

A: To find  for the function .

Q: Use the numeric method (i.e. calculator method) to find the total area trapped between f left…

A:

Q: Sketch the graph of the function. -2 f(x)=x-1 In(x) -1 if x ≤ 0 if 0 < x < 1 if x ≥ 1 y 2 y 1 2 X…

A:

Q: Suppose that r is an independent variable, and s is a function of r. Calculate the derivative. Your…

A: To find the derivative of sr3 with respect to r, we are using the product rule.The product rule…

Q: A coffee shop owner is trying to determine which customers should receive loyalty discounts based on…

A: From given customer regularity graph:Age (0 to 18): Number of trip is 1 (height of first small…

Q: Find the explicit elementary formula for A(x)

A:

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

A:

Q: Let u = [5, -2, 1]T and v = [1, –4, 0]. Find the vector w = 4u 2v and its additive inverse. W…

A:

Q: Find the area of the shaded region. -4 y = x² (-2, 4) -2 8 6 4 2 (1, 6) 3y=2x+16 2 (2,4) y=8-2x 4 X

A:

Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 5…

A: limx→06sin⁡xx

Q: 4. A boat leaves a dock at 2:00 pm and travels south at a speed of 20 km/h. Another boat has been…

A:

Q: Let f(x) = -2x² + 2x - 1 2x² + 1

A:

Q: Y₁ = (x - 5)³ Y₂=X-5 L²(((x - 5) ³ - (x - 5)) )x dx y 1.5 1.0 0.5 -0.5 -1.0 1 2 3 4 5 6 X

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: Find the function y₁ of t which is the solution of 100y" - 9y = 0 with initial conditions y₁ (0) =…

A:

Q: Given f(x) = (x − 2)³ + 1 find ƒ−¹ (x). - 1+ 2x 7+x Given h (x) = find h-¹ (x).

A:

Q: (1-x)e(x-1)² dx

A:

Q: 1 (b) [ [(5x√3x + ²√x)dx 2

A: To evaluate the following integral.

Q: Describe the transformations that produce the graphs of g and h from the graph of f(x) == 9 a.…

A: A transformation of  is a function that can be simplified to the form , where a controls vertical…

Q: 0.03t The population of a city can be modeled by P(t) = 17eº thousand persons, where t is the number…

A: We have to find the rate of change of city population between 2020 and 2028.

Q: 3. Identify any points of discontinuity for the following functions. Indicate if the discontinuity…

A: To dentify any points of discontinuity for the following functions. To indicate if the discontinuity…

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 5xey…

A: To find the four second order partial derivatives and to observe that the second mixed partials are…

Q: 18 Find the product of -2 + 1i and its conjugate. The answer is a + bi where The real number a…

A:

Q: a) Prove the statement using the &, & definition of a limit. 2 + 4x lim x→1 3 2

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

Q: 5 Evaluate the expression (4 + 2i) (-2+ 4i) and write the result in the form a + bi. The real number…

A:

Q: Consider the following. |x - 61 lim x 6 x 6 -10 y 4 2 -2 50 10 X Use the graph to find the limit (if…

A: we have given a graph of function in which at x=6 , function is discontinuous.we have to find the…

Q: Solve the separable differential equation dy dt = y(t) = - 2y5, and find the particular solution…

A: