5. Choose the following statements are True (T) or False (F): (a). det(A + B) = det(A)+det(B) (b). A system of linear equations is consistent if it has at least one solution (c). The transpose of a upper triangular matrix is a lower triangular matrix (T) or (F) (T) or (F). (T) or (F).

Q: Evaluate the integral. (Use C for the constant of integration.) 35 dx √x+xVx

A:

Q: In this problem, x = c₁ cost+c₂ sint is a two-parameter family of solutions of the second-order DE x…

A:

Q: Solve the Bernoulli differential equation y+y=y²

A: The given differential equation:y'+y=y2We need to solve the above differential equation.

Q: Evaluate the limit: lim x-0 √6x +9-3 X ||

A:

Q: following function: f ( t ) = 100 + 75 t 2 Here, t is measured in hours after the start of the…

A: .) A scientist is growing bacteria in her lab. She finds that the number of bacteria per microliter…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: Consider the following absolute value inequality. Step 1 of 2: Rewrite the given inequality as two…

A:

Q: Find the length of the curve. r(t) = cos(4t)i + sin(4t)j + 4 In costk, 0sts/4

A: I have appended the formula used in the solution part of the question

Q: Display the values of the function in two ways: (a) by sketching the surface z = fixy) and (b) by…

A:

Q: Find the following limit (a) by investigating values of the function near the x-value where the…

A:

Q: Consider the differential equation I //1-\ (A) At the point (-1,-1.5), the direction field has a…

A: The differential equation is given as , dydx=2y

Q: Let f(x) = ln(3-x).

A:

Q: -10 y 10 -10 1 3 5 9 10 Write an equation for the cross section at z = 1 using x and y. Given…

A: We know Standard equation of circle with center h,k and radius r ⇒x-h2+y-k2=r2If center is origin…

Q: explain how to find the greatest values for f(x) and least values for f(x). given the f’(x) above…

A: we have to explain that how to find the maximum and minimum values by the help of the given…

Q: 1. Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of dye at time t…

Q: dx dy x| y 2 +2 X

A:

Q: . Evaluate lim √²-9. X-5

A: Since you have asked multiple questions, we will solve the first questionfor you. If you want any…

Q: Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. It forms a pile in the shape of…

A:

Q: Given z = = f(x,y), x= x(u, v), y = y(u, v), with x(0, 2) = 2 and y(0, 2) = 4, calculate zv(0, 2) in…

A:

Q: The position of a particle at time t is given by P(t) = (2+t², t, t²). a) Determine the point at…

A:

Q: What does the notation imply: lim-f(x) = 7 A. The limit of the function as x approaches 4 is 7. B.…

A:

Q: Use the chain rule to find and, where First the pieces: əz dx 2x+y ?х მყ dy მა = дz Ət || 2 And…

A:

Q: evaluate the integral: cot^6(x)csc^4(x)dx

A: We have to evaluate given integral.

Q: 2x(3x + y-ye-x)dx + (x² + e-x + 3y²2)dy = 0, when x = 0, y = 1

A: The given differential equation is;  2x(3x+y-ye-x^2)dx+(x2+e-x+3y2)dy=0.

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A:

Q: First write the given homogeneous system in the matrix form Ax = 0. Then find the solution in vector…

A:

Q: Let g(x) = if x 2

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Use the Fundamental Theorem of Calculus to find the derivative of the following function. (You do…

A:

Q: 6. f(x) = x² cos x

A: Given query is to find the derivative.

Q: Describe the x value at each extrema (relative max, relative min, absolute max, absolute min) Ä Ad…

A: Relative maxima and minima occurs at turning points on the curve and absolute maxima or minima are…

Q: Given s(t) = 3t² + 6t, where s(t) is in feet and t is in seconds, find each of the following. a)…

A:

Q: The motion of a short-distance runner is captured using a motion detector and displayed on the graph…

A: The given data is:

Q: Find the nth term ??of the following sequence of “n-loop” flowers.

A: To find the nth term of the given sequence of "n-loop" flowers.

Q: 1 [² (x² + 1)e¯ª dx

A:

Q: to do Ł ex: find aab such that اتهم 5 * (-2x²³² + 4x² = 2² +2) dix ²0 G=? 024+b= x=

A:

Q: answered

A: We have to write the values of the given limits according to the given information

Q: For the curve x = √16-y², -2 sys 2, complete parts a. through c. below. a. Set up an integral for…

A: Please see the below picture for detailed solution.

Q: Determine the equations of the lines tangent to the curve  3x3y2+2x2y=y+4x  whenever  x=1 .

A:

Q: (arcsinx)² dx

A: This is your answer

Q: Example 3: As a function, we have 1x1 = { = * -x for x < 0 for x ≥ 0 F(x) We will ALWAYS rewrite the…

A: Given :   for x &gt; 0 , |x|=x   for x &lt; 0 , |x|=-x   for x = 0

Q: What is the least number of linearly independent vectors needed to span a line? [Enter a whole…

A:

Q: If $900 is invested in an account that pays 3% compounded annually, the total amount, A(t), in the…

A: The given data is: At=9001.03t Now  A0=9001.030=900A4=9001.034=1012.9579A8=9001.038=1140.0930

Q: Now, write a piecewise function, state the transition points and tell the type of discontinuity at…

A: Given:

Q: f(x)=√√√9-x

A:

Q: 24 If cos(xyz) = 1 + x²y² + z2, find = Oz ду and дx Әх

A:

Q: 2. y = cos x, F|C X ==

A: Given y = cosxat x = π2

Q: Consider the following operations on the number 7.12 X Without using a calculator, decide which…

A: here we are using number 0.000003 which is very small to 0.0712.

Q: Find the lengths of the following curves. +² a.y= -3 Inx, 2≤x≤ 12 24 (1) 6 b. x = 2 9 7|6 In (1). 5…

A:

Q: 312. 2 f(x) = ( x +2 ) 3

A:

Q: 3. Let i, j, k denote the unit vectors along the three coordinate axes. Let v(t) = ti + sintj +…

A: Let i, j, and k denote the unit vectors along the trhee coordinate axes.Let vt=ti+sin tj+cos tk and…