O O Use the substitution formula to evaluate the integral. 1 6r dr 0√16+3r² OA. 19-4 √19 2 O B. -2 OC. -2√19 +8 OD. 2√19-8

Q: The interest on an account increases exponentially. If an initial investment of $4000 earns $1300 in…

A: Given that , Initial investment = $4000 Rate of increase = ?

Q: 6 5 4 3 2- - 1 1 1 0 1 y = f(x) lim I-1 lim 2 h→0 T 3 4 5 6 7 8 Enter each answer as a whole number…

A: (i)  limX→2+ fx-5fx+4 = limx→2fx-5limx→2fx+4                          = limx→2fx-limx→25limx→2fx+4…

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Let the point be A(4,-8,9). To find the distance between A and x=2t+0, y=t-3, z=2t+2. The direction…

Q: D Solve the initial value problem. dy dx -=xcos (6x²), y(0)= 7 x² OA. Y=2 y= B. Y= 1 12 1 sin…

A:

Q: Find the second derivative of the function. f(x) = sec x F"(x) = sec x(see²+tan² Need Help? Submit…

A: Let's find double derivative of function.

Q: Find the derivative of the transcendental function. h(x) = - 14 sec x X h'(x) = -5x2-14 secx-tanx

A: We need to find the derivative of the given transcendental function.               hx=5x-14secx

Q: 7. 8. I. lim f(x) = -0. 8118 II. lim f(x) = ∞0. 818 I. f is continuous at x = 2. II. f is continuous…

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. (a) f(x) = 2x³ —…

A: The given functions, a) f(x)=2x3-3x2-12x+1, -2,3b) gθ=θ+cotθ2, π4,7π4

Q: Use integration by parts to solve. Simplify final answer and write in factored form. 2 (x)ln(cos(x))…

A:

Q: Find the definite integral of 16- -π/6 Option 1: Option 2: Option 3: Option 4: Option 1 Option 2…

A: I have stated the used formulas in the solution.

Q: i. mation to answer the next question Two functions are shown. y = f(z) is the function on the left…

A:

Q: Graph the function. Clearly label asymptotes and graph two full periods TU -06 Ms H f(x) = cot(x +…

A:

Q: 20. Which of the following is always true about the graph of f(x) on (-1,2)? (A) f(x) has an…

A:

Q: A region bounded byf (x) = 4 3 2 X Find the volume of the solid formed by revolving the region about…

A:

Q: If the acceleration A(t) of an object is proportional to the square root of its speed S(t); write…

A:

Q: 18. Prove that A × (BUC) = (A × B) U (A × C).

A: The objective is to solve the above question.

Q: 18. The volume of the solid that lies between the paraboloid z = 2x² + 2y² and the plane z = 6

A:

Q: Integrate using appropriate U-Substitution. You must label u and du: 4x²e¹-x³ dx u= du =

A:

Q: Solve the following differential equation y′′−y = ex by the method of variation of parameters.

A:

Q: Use implicit differentiation in finding y'. 2. x²y+xy² =6

A: The given equation x2y+xy2=6

Q: For f(x) = (a) fog 9 x-7 and g(x)= (b) gof find the following composite functions and state the…

A:

Q: Use a sum or difference identity to find the exact sin 15° O = √6-1/2 4 o √6+√√2 4 √6-√√2 4 O √6+√√2…

A: We have to find the angle

Q: Question #6 The area, in square meters, of a pond covered by an algae bloom decreases exponentially…

A: Given data:- Days 0 1 2 3 4 Area 150 ? 75 ? ?

Q: The Cartesian coordinates of a point are given. Find polar coordinates (r.) of the point, where r <…

A:

Q: IMS { (-1) * x² 49

A:

Q: 10. Find the critical points of the following function. Use the Second Derivative test to determine…

A:

Q: The percentage of employees who cease their employment during a year is referred to as employee…

A:

Q: Evaluate the integral using only methods taught in class, and simplify your answer. Do not ski…

A:

Q: Question 1 Suppose I have $5000 to invest, and I am able to invest it at an 8% rate compounded…

A: Topic = Algebra

Q: (3) Theorem: The area between the curves y = f(x) and y g(x) and between x = a and y = b is A =…

A:

Q: For items 11-25 consider g(x) as defined below. g(x) = 11. I. lim g(x) does not exist. 21-14 II. lim…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: π/2 0 sin³ cos Ode 0

A: This question is based on substitution method.

Q: -1 'Cos'¹x { √(1-x²) } ]¹_dx og. { 1 + (sin (2x√(1-x²))} TT

A: Given data:- ∫cos-1x1-x2-1loge1+sin2x1-x2πdx

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

A:

Q: Write the sum as a product: sin(16.76) + sin(12.96) = > Next Question

A:

Q: Solve for x: 5-6x+2 = 44 O O O 44 -2 -1.13 21/12/17 - 2 (4-2)--0.06 44 -2 -0.06 5 -1/10 In 44-21n 5)…

A:

Q: Find the angle of least positive measure coterminal with the given angl 869°

A:

Q: Prove that if A and B are sets, then A - B = An BC.

A:

Q: Find a geometric power series for the function, centered at 0. 4 3 + x 20 n = 0 h(x) = X

A:

Q: Find a power series representation for the function, and find I, the interval of convergence.. 8 9-x…

A:

Q: What is f(x) = f 3₁√√xdx? O F(x) = O سانده است 2 + C 3 F(x)= 2x 2 3 F(x) = 2x² + C ○ F(x) = 2x² + C

A: The given integral fx=∫3xdx

Q: Solve the differential equation using only methods taught in class. y' + 3xe' = 0

A:

Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. x…

A: The given differential equation is xdx+y-2xdy=0

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² – 2xy + y²,…

A: Differenciate function at given point and use equation of tangent plane

Q: 5x-1 Evaluate ²-3x-40 long method) Option 1: (Hint: Use partial fractions using either short or…

A: We will find the required.

Q: Use a double angle identity to simplify the following expression. tan 16° 1- tan² 16°

A:

Q: Find the area of the region bounded above by y = −x² + 5 and below by y = 1.

A: Given, y=-x2+5 and y=1

Q: Find the magnitude and direction angle (to the nearest tenth) for each vector. C the measure of the…

A:

Q: 5x-1 x²-3x-40 Evaluate f long method) (Hint: Use partial fractions using either short or

A:

Q: Evaluate the integral. [² (7x)√x² + 34√x³ √√√x dx

A: