The distance from the point K(3, -2, 0) to the xz- plane is Select one: O-2 O √13 O 0 02 None of them

Q: Evaluate the improper integral or show that it diverges. 6 S dx 0 √36-x² Select the correct choice…

A: Explanation of the answer is as follows

Q: Solve the initial-value problem. dN_ _t+5 dt t -, for t21 with N(1)=5 The solution to the…

A:

Q: Solve the initial-value problem. dW dt e-4t, for t20 with W(0) = 6 The solution to the initial value…

A: The initial value problem,dWdt=e-4t, for t≥0 with W0=6

Q: Σ (²-2) for j=1 to 50. The summation equals

A: NOTE: Refresh your page if you can't see any equations. .

Q: 36. Determine the exact simple interest on P 2,000 for the period from January 10 to October 28,…

A: The solution is given in the next step.

Q: Determine the Riemann sum using L4 over the interval [-1,1]. y = 3x² - 2x + 1

A:

Q: Consider a solid G, generated by rotating the region bounded by y = 2x² and y = 0 from would the…

A:

Q: -S 3x²-6x+7 x3-x²-x+1 dx

A: Solution of given question is written in below steps.

Q: The value of the definite integral 2 [²4x 4x³ dx

A: Given integral ∫12  4x3  dx we use the formula ∫ xn dx=xn+1n+1+C    ; n≠-1

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A:

Q: Let a = . Find a unit vector in the direction of a

A:

Q: Evaluate the infinite series by identifying it as the value of a derivative of a geometric series.…

A: Solution

Q: 5. r² = 1

A: As per the rules of the company we can answer only first question and rest can be reposted.

Q: 1 2 1 Q2. If A = 200 31 2 find A¹.

A:

Q: Convert the rectangular coordinates to polar form (√8,√8) (solve) (4,5) Option 3 O Option 4 O…

A:

Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

A: Given f(x)=4x and x=2

Q: Consider the following. 2(x-8)² + (y - 6)² + (z − 5)² = 10, (9, 8, 7) (a) Find an equation of the…

A:

Q: Three numbers are in the ratio 2:5:8. If their sum is 60, what is the smallest of these three…

A: Given three numbers are in the ratio 2:5:8. consider these three numbers are 2x,5x,8x. Also given…

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

A: y= x3/4 +1/3x , 0.6<=x<=3.7  Find arc length First solve √(1+y'2) .

Q: A rectangle is to be inscribed in a semicircle of radius 7 cm as shown in the figure below.…

A:

Q: Consider the graph of r(t) given below. -4- 2 |_y=r(t) 0 2 C) Find r' (2). [Select] 4 D) Find r'…

A: Given that graph of y=rtA.gt=sin3πrtg't=cos3πrt×3πr'tg'1=cos3πr1×3πr'1r'1=slope at…

Q: Geometric Interpretations of Equations In Exercises 1-16, give a geometric description of the set of…

A:

Q: Question 10 Evaluate the following expressions. sin (tan-¹(√3)) cos (tan-¹(1))

A: By triangle property

Q: True or False: We have Select one: O True O False 8 [√x dx √xdx = 12.

A: We have to find the given value of integration is true or false.

Q: x²5 - - 5y = x + 1 is non-homogeneous second order differential equations dy² with constant…

A:

Q: B: e²+² dydx Jo Jo

A: To solve the integral ∫0∞ ∫0∞ ex2+y2dydx

Q: 3. Obtain the DE of the family of circles with center at (2,-3). Draw at least 4 representative…

A: Given question:- 3. Obtain the DE of the family of circles with centre (2,-3). Draw at least 4…

Q: Consider the point P(-2, 1, 4) and the vectors Question 2 a = and b =. (a) Find the unit vector u…

A: This question can be solved using the concept of three dimensional geometry.

Q: 4x²5w, if x ≤ -2 5x - 4, if – 2 3 Find w so that f (x) is continuous at x = −2. A. -6 Given: f(x) =…

A: Given that fx=4x2-5w,   if x≤-25x-4 if -2<x≤356x-2, x>3To find :w so that fx is continuous at…

Q: (c) Given a cubic function i) Find the critical point(s). ENTIA ii) Hence, determine the maximum and…

A: Let's solve.

Q: The Maclaurin series of the function f(x) = 6x²e-4² can be written as f(1) = Σ₂² n=0 where the first…

A:

Q: Find an equation of the plane. The plane through the point (6, −8, −8) and parallel to the plane…

A:

Q: Find and simplify the difference quotient f(x)=x² + 4x-5 OA. 2x+h-5 2x²+2x+2xh+h²+h-10 h OB. OC. 1…

A:

Q: Suppose that csc a = -(√5)/2  and 180° < a < 270°. Find the exact values of sin a/2 and tan a/2…

A:

Q: If cos(0) sin(0) = = 2 and is in the 3rd quadrant, find sin(0) 3 -

A: We can find the answer as below using the formula for sin theta as below.

Q: H.W: Solve the differential equation y'-(1+x)(1+y²)=0

A: Let's solve given diffrential equation.

Q: 25 5.²5 4 Incx √x dx

A:

Q: As the selling price of a product increases, demand decreases. Fewer people will buy a pro s more…

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

Q: 8) Let a, 32" +45° for n-0, 1, 2, 3,... If we write an as a recursive relation, it is Hint:…

A:

Q: If then is equal to Select one: -2 2 -5 O 5 none of the others [²5(x) f(x)dx = 7 and f(x)dx = 2 ['se…

A:

Q: Let T be multiplication by the matrix A, find the rank and nullity of T. 1 1 3 A = 6 7 -4 58 rank…

A: We have to find the rank and nullity.

Q: 17. A cone was formed by rolling a thin sheet of metal in the form of a sector of a circle 72 cm in…

A: Firstly calculate length of the sector then height of the cone

Q: Find all values of x in the interval [0, 2(pi)] that satisfy the equation.  14 + 7 cos(2x) = 21…

A:

Q: 1. For the below ordinary differential equation, state the order and determine if the equation is…

A:

Q: dz 10. Evaluate the integral where C is a simple closed curve cz(z - 1)' in the positive direction…

A: The integral ∫Cdzzz-1, where C is the simple closed curve in the positive directionthat contains the…

Q: 3 Approximate (4+x²) dx using five equal subintervals. -3 An approximation for the integral using…

A: To approximate ∫-334+x2 dx by using five equal subintervals.

Q: Find the function F that satisfies the following differential equations and initial conditions.…

A:

Q: valuate the following integral or state that it diverges. 6 10 cos A. K|X Select the correct choice…

A:

Q: Let à = (4, 1,-5) and b = (2, -5,5). Find the angle between the vector (in radians) 1.09 X

A: Let's find angle between two given vector.

Q: 5. r² = 1 2

A: According to the question, we can answer only first question and rest can be reposted.