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Q: Current Attempt in Progress Let a = ci +jandb = 9i + 45j. Find c so that a and bare orthogonal. c =…

A: Given :a=ci+j and b=9i+45jTo find : The value of c so that a and b are orthogonal.

Q: 4. Determine the general equation of the plane containing the points P(1, –4, -5), Q(2,0, 13) and…

A:

Q: Vrite the equation of a sine or cosine function to describe the graph. 3 6. 十|。

A: Given query is to find the equation of the function.

Q: Consider the vectors: å = ỉ– 3j + 2k , b' = 4j – 2k and ở = i + k in 3D A. Write 3a – 4 b - 2¢ in a…

A:

Q: 2. Let A = (1,0, 2) and B = (6, -2,3). Solve for proj, B.

A: As we know that; The expression for the vector projection B onto A is: projAB=B·AA2A   Given: A=1,…

Q: 2. A rock thrown upward has a height given by s(1) = 49t-9.81 where s is in meters and / is in…

A: Use derivative to solve

Q: f(x) = x²In x + sec x; find f"(x)

A:

Q: Find if the sequences diverges or converges. If converegs, find the limit. 1. an=n1/n

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

Q: 1. Linear equation of order one: dy-(r-2ydx =0

A:

Q: x"+1 has the radius of 5, then the radius of convergence of the If the series >. "n+1 n=1 series a…

A: To solve the following problem

Q: sin x dx cos3 x – 8 - 8

A:

Q: dæ Evaluate: x/9x² +4 A) None of the above V9x² + 4 + 2 B f (x) = -2 ln +C %3D 3x © s(12) = -- In f…

A: I=∫dxx9x2+49x2+4=t9x  dx9x2+4=dtdx=9x2+49x dtI=∫19x2 duI=∫1u2-4 duI=∫1(u-2)(u+2)…

Q: What is the area of the region bounded by the graphs of y = æ and y = 2? Answer is in square units.…

A:

Q: A culture starts with 8100 bacteria. After 1 hour the count is 10,000. (a) Find a function that…

A: Here is the solution:

Q: xdx S- can be solved by either algebraic subsitution or integrataion by parts. x-1 А) True B) False

A: We know that algebraic substitution is method in this replace the veriable of integration by a…

Q: 3. Average rate of change - quadratic function. Let f(x) = 9 – a?. a) Compute each of the following…

A:

Q: A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month…

A:

Q: Current Attempt in Progress Let a = ci + j and b = 8i + 24j. Find c so that a and b are orthogonal.…

A: for orthogonal of vector dot product of vector is 0 a*b=0 (ci+j)(8i+24j) = 0 8c +24 = 0 8c =-24 c…

Q: (2×+5)2xー5 2x -5 3.

A:

Q: POPULATION DYNAMICS Assume that the population of the greater roadrunner in the Guadelope Desert was…

A: Given that: K=750, r=0.25. Initial population N0=250.   Population formula is = Nt=K1+K-N0N0e-rt.…

Q: Activity 1.4.3. For each of the listed functions, determine a formula for the derivative function.…

A:

Q: By substituting y=xv, solve the given differential equation, (2xy+ x²) dy = 3y² + 2xy with dx the…

A: The given DE is: 2xy+x2dydx=3y2+2xy⇒x22yx+1dydx=3y2+2xy⇒2yx+1dydx=3yx2+2yx⇒dydx=3yx2+2yx2yx+1

Q: 32 2 The series 3 8 + 33.3 128 is equal to ..(Correct to 3 decimal places) +... ..... 35.5 37.7

A:

Q: he air above a city may be thought of as a control volume: 1 km high and 10 km x 10 km in plan. The…

A: answer is in next step

Q: Solve the following equation. (x+4)2+11(x+4)+30=0 List your answers separated by a comma. For…

A:

Q: Lagrange Multipliers Use Lagrange Multipliers to find the maximum and minimum values of f(x, y, z)…

A: Given f(x,y,z)=2x+y-2 ...(i)  subject to the constraint x2+y2+z2=.4....(ii) So the Lagrange function…

Q: dx Evaluate: xV x² + 4 None of the given choices +4 - 4 + C 1 4 V x< +4 + 4 x² +4 – 4 + C x<+4 +4 x²…

A: integration

Q: Evaluate the integral / | Vf. dr Vf•dr where f (x,y)=xy² and C is a curve from (1, 1) to (2, 3).

A:

Q: Find the area of the region that lies inside the curve r =1- sin 0 and outside the curve r = 1.

A: I have provided this answer with full description in step-2.

Q: Simplify Using type products 1. (-2x-3y+4B)2

A: This is a problem of simplifying the given expression based on the general formula.

Q: A ship leaves Port A and travels 67 miles due west to point C. It then adjusts its course 41°…

A:

Q: Suppose f is continuous on [3, 10] and differentiable on (3, 10). If f(3) = -1 and f'(x) 2 5 for all…

A: We have to find the minimum value of f(10).

Q: Find the Laplace transforms of the functions(use limit): a) f(t) = t^2 b) f(t) = t-2e^3t

A: Solve the following

Q: the following statements is IR

A:

Q: Describe the graph of the equation. r = 10 sin 147 i + 10 cos 14t j O tis an ellipse in the…

A:

Q: y II. y f'

A: Only one point is able to distinguish between the curves.That is f'(x)=0when f'(x) crosses 0 whenf…

Q: Maxima/Minima Classify all the critical point(s) of f(x, y) = 2a³ + 6x} – 3y3 – 150acd maximum and…

A:

Q: Consider and remember that A = (0,4,2) , B = (6,-1,0), C = (3,0,1) 1) Determine the unit vector…

A:

Q: (10re", 2.r3 + 3.r² – 12.r, r>0 I<0 Given: ƒ(x) (a) Identify all critical numbers of f. (b)…

A:

Q: Let ū and v are unit vectors such that the angle between them (when joined tail to tail) is 30°,…

A: Find your answer below

Q: ft号+号 13 4. 4 2.

A: We can solve this as follows:

Q: State the condition(s) that: a) two vectors can be equal vectors. b) two vectors can be opposite…

A: To state the conditions for a given vectors.

Q: Based on the figure below, how many regions are involved? * x(t) h(t) -2 -1 1 2 3 4 None of the…

A: This is a problem related to number of regions in the sense number of interval for the given graph.…

Q: Which of the following is one of the correct steps to evaluate | cos'x dx to obtain the desired…

A: Solution :∫cos7xdx∫cos6xcosxdx∫cos2x3cosxdx∫1-sin2x3cosxdx

Q: Consider and remember that A = (0,4,2) , B = (6,-1,0), C = (3,0,1> %3D %3D 1 1) Determine the unit…

A: Here, the given vectors are: A=0,4,2, B=6,-1,0  C=3,0,1

Q: ||r(t) × r"(t)|| ||r"(t)||* Use the formula k(t) to find k(t). r(t) = t°i + t°j K(t):

A:

Q: Consider a function f(x) whose domain is a < x < b Given the graph of f'(x) answer the following…

A:

Q: 1. Using properties of definite integrals, given f(x)dx = 10 and | g (x)dx = – 2, evaluate 2 6. a)…

A: (a)∫26-f(x)+g(x) dx  = -∫26f(x) dx+∫26g(x) dx = -10 + (-2) =-10-2=-12∫26[-f(x)+g(x)] dx =-12

Q: 1. The lincar differential equation has the integrating factor equal to (Note: Simplify or solve the…

A: Given : dydx=1-xxy=-2x   To Find : Integrating Factor

Q: . Linear equation of order one: dy-(x' - 2xy}dx=0

A: The given differential equation is linear differential equation.