n¹(tan(-)) 215. tan

Q: Utilize the function to evaluate the indicated expressions. Simplify. f(x) = 6x-18; ƒ (-), f(x)

A:

Q: 70. S tan-1 x dx 1+x²

A:

Q: Evaluate the limit, using L'Hôpital's Rule if necessary. (If you need to use co or-co, enter…

A:

Q: The sequence {(1 + 1)^² +1} 2n O O converges to e² is divergent ez converges to e 2 O converges to e

A: Sequence

Q: Consider the function given below. f(x) = sin 0, 1 X+1 1 x < -1 x≥-1 Complete parts (a) through (c).…

A:

Q: Find the equation of the tangent line to y=−6/x^2 at x=−2. Write your answer in slope-intercept…

A: The equation of the curve is y = -6x2 To evaluate: The equation of the tangent line to the given…

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: The given integral is ∫x3-6x-4dx Integral formulas, ∫xndx=xn+1n+1+C∫dx=x+C

Q: Use the substitution u = :) 2x to evaluate dx 4x² +1

A:

Q: 5. S (2x+1) dx (x+4)*(x-3)6

A: Given:        ∫2x+1dxx+46x-36   =∫2x+1x+4x-36dx substitute u=x+4x-3                 dudx=2x+1…

Q: 4.y=log10 (x4 + 3x² + 1) 5.y = log5 √x² +1 1-x² 6.y-log10 |2–5x3

A: Given 4. y=log10x4+3x2+1 5. y=log5x2+1 6. y=log101-x22-5x3         Derivative of the log functions…

Q: The rate at which water flows into a tank, in gallons per hour, is given by a differentiable…

A:

Q: Evaluate I ta tanh x ln(cosh x) dx.

A:

Q: √= - 4x + 43 x² 11x + 18 dx = +C

A:

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Concept: Concavity: if f''(x)&gt;0 ∀ x∈R implies that f(x) is concave upward  And if f''(x)&lt;0 ∀…

Q: A manufacturer has determined that the total cost C of operating a factory is C = 2x² + 60x + 200,…

A: Firstly we have to solve for average cost per unit as given in the question.  Then apply…

Q: Determine the values of a, if any, for which all solutions of the differential equation y" — (2a −…

A:

Q: Differentiate the following. Do Not Simplify. y=(sinx)(lnx)_ b) y=(e³+√cos x) c) y = º /1—tanx 3x³…

A:

Q: Write

A:

Q: Use the following information for Questions 4 and 5. f is a continuous function with a domain [-3,…

A: (5) Given that , fx=3,          -3≤x≤0-x+3,    0≤x≤6 -3,          6≤x≤9 and gx=∫-2xftdt Find gx in…

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE. Round your answer to four…

A:

Q: QUESTION 4 Given the following function, find the values of f (5,2). x f(x,y) = 5 + xln(xy-9) O A.…

A: We can answer the question as below.

Q: (b) Find a particular solution for each of the given differential equations (i) y" - 6y +9y = e² - 5…

A:

Q: What is the slope of the the tangent line to y=1/x^5+−1/x^3 at x=1?

A: Given y=1x5+-1x3 and x=1

Q: Given the Vertices v1 = (3, 1), v2 = (1, 4), v3 (6, 5). Calculate the normal vectors n1 of vertex =…

A: We have to find the normal vector on v1.

Q: Exercise. Find the curvature and the radius of curvature at any point. 2. R(t) = e²¹i + (t²-1)j 90#-…

A:

Q: S -6 √36-Lnx dx @ S₂ (6) x Secx dx Ln(secx+tanx

A:

Q: Q2: lim +01+stnx x²-16 đêm 5 t (B) 00 (C)-8 is discontinuous at: (A) x 1 (B) x = 4 (C) x-1 and x=4…

A: The objective of the question is determine the discontinuity and choose the correct option.

Q: X y 1 2 3 825 1202 1509 4 5 2138 2850 6 4034 Use linear regression to find the equation for the…

A: Find the man of x and y and then go ahead.

Q: QUESTION 7 Evaluate the double integral. FS= 3xy 2 RX²+1 OA. 8 3 OB. 16ln (2) OC. 8ln (2) OD. 16 3…

A:

Q: if / 2³3 rsin rda -x³ cos x + 3x² sin x + 6x cos x Oxsin x O cos x sin x X COS X = 6 ƒ ƒ(x)dx, then…

A:

Q: Evaluate functio J dx x² - 6x + 13

A:

Q: If the vector equation of a line is 7=(3, -5)+t(-2, 3), t€ R. the parametric equations are Ox=3-2t,…

A: Topic:- application of geometry

Q: 27) Two points A and B are on opposite sides of a building. A surveyor selects a third point C to…

A:

Q: The diagram shows three islands in a bay. You rent a boat and plan to visit each of these remote…

A: Please see the below picture for detailed solution.

Q: (2x² + 2xy + y²) dx + (x² + 2xy - y²) dy = 0

A:

Q: Compute the partial sums S3, S4, and S5 for the series and then find its sum. Σ(n+1-142) (Use…

A: Topic - sequence and series

Q: Suppose that p(t) is the growth rate of a population of bacteria at time t minutes. What does 15…

A:

Q: Write the complex number in polar form with argument between 0 and 2. -1-√√3i

A:

Q: Find missing number in the series  3,12,26,45,8,22,41,65,13,32,__,85,18

A: Given data:- The given series is, 3,12,26,45,8,22,41,65,13,32,__,85,18

Q: Find the indefinite integral and check the result by differentiation. COS X 1 - cos²x dx

A: Recall; sin2x+cos2x=1

Q: Determine the type of function shown in the graph below.

A:

Q: G 3 X lo dx si

A:

Q: 5. S (2x+1) dx (x+4)6(x-3)6

A: ∫2x+1(x+4)6(x-3)6dx

Q: 1. A ball is thrown upward from the top of a 12 meter high building at a speed of 25 meter per…

A: Given quadratic equation is H(t) = -17t2 + 25t + 12

Q: Determine the type of function shown in the graph below. a) Linear function b) Quadratic function c)…

A: Here we have to choose the correct option.

Q: 8 S 1 Inxdr a. 0 b. 1 C. -1 ||

A:

Q: 2. Provide the exact value solution(s) for 2x² + 13x + 3 = 0

A: The given equation 2x2+13x+3=0 use the quadratic formula:   The quadratic equation is of the form…

Q: Find the area of the region bounded by the graphs of the equations. y = 7x² + 3, x=0, x=2, y = 0

A:

Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy dx 3 +…

A: We have given differential equation  dydx=3+18xxy2 y2dy=3+18xxdx Integrating both sides…

Q: Determine the type of function shown in the graph below. a) Polynomial function Ob) Rational…

A: