6. If If vectors (5,2,-1) × (2,-1, a) = (5,-12,-9) then determine the value of a.

Q: 7) Suppose the population of Detroit was 1.5 million in 1990 and 1.0 million in 2002. If the city is…

A:

Q: 3. I. -1 2 Evaluate each determinant. 5 3

A: Given,-1523

Q: Find the equation of tangent line to Graph of f(x)=3 x In(5x-4) at point where x=.1

A: Solution:

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A:

Q: 1. Find the Inverse Laplace Transforms of the following. 4) 48-60√/s s4

A:

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A: We have to find dimension of rectangle which maximize the area of given rectangle.

Q: # ZZ Convert the following equation in Cartesian (rectangular) coordinates into the equivalent…

A: Use trigonometry function

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A:

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A: A detailed solution is given below.

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A: The objective of the question is determine the average velocity in the given intervals.

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Q: Find the area of the region bounded by y = 3x - x² and the x- axis. 9/4 9/7 9/2 9/5

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Q: 1. dx (x - 2)3 EXOX

A:

Q: Evaluate S ( + - + e²+ =) dz 3 · 3z 21² In x++²x+}x+ + C Option 1 √√(x³)x= √√√x + √2x+C I- Option 2

A:

Q: Now find the area bounded by y= x^3, x=0, and y=3 a) 3.25 b) 3.28 c) 3.26 d) 3.27 integral…

A:

Q: Find the area of the region bounded by the curves y = x² and y = -x² + 4x.

A: Here we have to find the area bounded by the curves.

Q: Q3) Assume A = [4 6 3 11 7 2 [32] and B = 1 14 5 show that (AB)' = B' A' 31

A:

Q: For the function f(x) = 2x², make a table of slopes of secant lines and make a conjecture about the…

A: Slope= df/dx

Q: Find the general solution of the following DE. xy² (y')² + y(x - 1)y' - x³ = 0

A: The given differential equation,    xy2y'2+yx4-1y'-x3=0

Q: Simplify csc(t) sin(t) - cot(t) to a single trig function with no fractions.

A: csct-sintcott=1-sin2tsintcot(t)=costcottcott=cost

Q: 6.) I. Simplify. Write "undefined" for expressions that are undefined. -3 -6 -2 +69 4 -4 6

A:

Q: Find the angle that maximizes the area of an isosceles triangle with legs of length / = 10. 1 (Use…

A: The given isosceles triangle with legs of length l=10

Q: Given: 2y (y2-x) dy = dx ; x(0)=1 Find x when y=2. Use 2 decimal places.

A:

Q: 1. Given the following vectors: u=(1, 2,-4) and v=(2, 3, 5) Find: a) u.v b) u.u c) (u.v) v d) angle…

A:

Q: 2. A cyclist applies a force F with magnitude F = 50N in the same direction as the vector b = 4 j.…

A: We have to find the vectors.

Q: The region trapped between y = = 4x - 2x² and 4x-2x² |y= ५-२x२-३ = 21² - 1³ y = a) Set up the…

A: The volume (V) of a solid generated by rotating the region bounded by y=f(x) and y=g(x) on the…

Q: -1 √ x²(3 – 4x) dx - -4 318 338 358 378 None of the Above 14 √√1 + 7x dx 25 -1 0 35

A:

Q: nd the reference angle, the quadrant of the terminal side, and the sine and cosine of 225°   Enter…

A: Find the reference angle, the quadrant of the terminal side, and the sine and cosine of 225°

Q: x² +9 √(x² - 1)(x^² + 4) In 1x + 11 + In |x-1| + tan-¹) + C Option 1 In x +11+ In |x-1|-tan ¹ () + C…

A:

Q: reply as soon as posible.

A: To find out the conservative.

Q: 1) Approximate (3+x-x²) dx with a left-endpoint Riemann sum using four equal subintervals. 2)…

A:

Q: 5) Approximate x²-1|dx with a right-endpoint Riemann sum using four equal subintervals.

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

Q: Find the average value of the function on the given interval. f(x)=√√x+3; [1, 13] (Type an integer…

A:

Q: 3. Find the cross product u X v when u = and v = .

A: Here we have to find the cross product of two vector.

Q: A ball is thrown downward with a speed of 16 ft/s from the top of a 256-foot-tall building. After t…

A: see below the answer and explanation with calculation

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A:

Q: Find the area (in square units) bounded by the parabolas x² + 2y - 8 = 0. a. 7.10 sq. units b. 7.01…

A: Here we have to find the area bounded by the parabola.

Q: 3 2x² + 5 can be split into simpler fractions using partial fractions decomposition. Set up the very…

A:

Q: Find the area of the region bounded by the parabola y² = 2x - 2 and the line y = x - 5. 16 17 18 19…

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Q: a rocket ship is climbing at the rate of 610 ft/sec when it is at 4600 ft it is tracked by an…

A: y is height, x is distance between camera and launching pad  dx/dt = 0  At y = 4600 ft, dy/dt =  The…

Q: da d²y +6- dx dx² + 11 dx+6y = ex + cosx бу

A:

Q: Find the linearization of the function f (x) 1 9x+8 at = -1. L(x) = -9x-10 si Find the true values…

A: This question can be solved using the concept of linearization of function.

Q: Let f be a twice differentiable function on an open interval (a, b). Which statements regarding the…

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Q: 1-1 flood

A:

Q: Use integration by parts to evaluate the integral. [2xe™x dx dx = [2xetx

A:

Q: 5. Find parametric equations for the line through the points (1, 3, 0) and (2, 4, 4).

A: The line passing through the points 1,3,0 and 2,4,4

Q: Find the critical points of f(x) = x - x7 and apply the Second Derivative Test (if possible) to…

A:

Q: Problem #1: Using lim 0 6x³ 8x 2 at x = -2, f(x+h)-f(x) h Find the slope of the tangent line y =

A: Let's find slope of the tangent line by using limit definition.

Q: What is the solution of the given ODE * xy' + y = √x /2 x = {√x + ² y = {√x + = 2 y 1 x Option 1…

A: Given problem:- What is the solution of the given ODE*   xy' +y= √x

Q: Evaluate f(x³ -x + 1) dx a. 0.250 b. 0.500 c. 0.625 d. 0.750 e. NONE OF THE ABOVE

A: