Jc = − xj; P(−2, −4), Q(-2,-2)

Q: Find r'(t), r"(t), r'(t) r"(t), and r'(t) x r"(t). ● r(t) = 2t²i - 2tj + 53³k (a) r'(t) (b) r"(t)…

A:

Q: For the given vectors a and b, find the cross product a × b. a = (1, 0, -3), b =(3, 4, 0) axb=

A:

Q: integral x²y dx - xy²dy where C: is the circle x² + y

A:

Q: The force F (in pounds) on a person's back when he or she bends over at an angle from an upright…

A: The given model is: F=0.6W sinθ+90°sin(12°) where W represents weight of the person in pounds.

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = 27 - x, y…

A:

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A:

Q: Find T(t) and N(t) at the given point. r(t) = 7 cos(t)i + 7 sin(t)j; t = 3 T() = N() =

A:

Q: Solve for the solution: d3y/dx3 - d2y/dx2 -dy/dx +y = 0

A: Solution is given below:

Q: PERFORMANCE STANDARD: Formulate and solve accurately situational problems involving limits. GOAL:…

A:

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

A:

Q: Representing a function as a Power Series. Suppose that we want to represent the function f(x) =…

A:

Q: ergence or divergence of the given series or state that the Root Test is in 1 n=1 non x.)

A: Given :

Q: Given a sin 6t and y = cos 6t, find the following derivatives as functions of t. dy/da 1 d'y/dx² =

A:

Q: evaluate the limit, do not use lhopital's rule 1-x+2x+7 limx→-x 2 V 9x +5 - 3x

A:

Q: dx 3xy 10. Find for xy = In (cos x + sin y) by using implicit differenti dx 1. Find dx for y³ + 4x…

A:

Q: Find derivative of 5x^2/3sqrtx using the Product Rule

A: To find the derivative of f(x)=5x23x using the product rule.

Q: Change the polar equation 2r = 2 + cos 0.(2r - 1) to Cartesian equation

A:

Q: Replace the polar equation with an equivalent Cartesian equation. r² = 44r cos 0 (x-22)² + y²-0…

A:

Q: 17. Let y = 4t² + 3, t = 6es and s = 1 + In x. Find in terms of x. dx 18. Given y = 5t (3 - t), t =…

A: Let's find.

Q: Find all solutions to the equation. sec²x + tan x = 1 Write your answer in radians in terms of , and…

A:

Q: Determine the convergence or divergence of a series whose nth term is given by 1 (d) n> 10. (e) n(In…

A:

Q: COS X d) f(x)=3sin √√x³ -3x+2___ _e) ƒ(x)=! f) h(w) = 3 cos(tan w)

A:

Q: Find the derivative of the function. h(t) = - (²²) ² h'(t) =

A: We have to find derivative

Q: = ||r' (t) × r"(t)|| ||r(t)||³ to find (t). r(t) = 8 cos(7t)i + 8 sin(7t)j + 3tk Use the formula…

A:

Q: Homework 12 Polar: Problem 2 The limacon r = 1+ csin(0) has an inner loop when |c| > 1. (a) When c>…

A:

Q: (Use symbolic notation and fractions where needed. Use C for the arbitrary constant. Absorb into C…

A:

Q: 15. Sketch y = f(x). Properties are: Max at P(2, 2) Mins at Q(4, -1), R(-1,2). Oblique asymptote y =…

A:

Q: lim x++∞ COS X log logi x

A:

Q: How many terms of the series do we need to add in order to find the sum to the indicated accuracy?…

A: The error in the approximation of a given series is always less than the last term that is used for…

Q: Find an equation for the ellipse whose graph is shown. I X y X 3 0 4

A: The figure of the ellipse is To evaluate: The equation of ellipse.

Q: 8. Use differential to estimate the value of √ 4.01 four decimal places. 9. Use differentials to…

A: We have to find 8.The value of √4.01-1/√4.01 upto four           decimal places.  9. The value of…

Q: Evaluate the integral 13 ƒ(x)dx geometrically for ƒ (x) = { |3 − x ; x ≤ 5 2; x > 5

A:

Q: interval of convergence = 0

A: Follow the procedure given below.

Q: Find the magnitude of the given vector. (-4, 4, 7)

A:

Q: 1 find the total differential dz. axeta TU

A: Find dz

Q: Find all solutions to the equation. csc 0-√2=0 Write your answer in radians in terms of , and use…

A: As we know that; The general solution of the trigonometric equation sinθ=sinα is; θ=kπ+-1kα,  where…

Q: SCALCET9 11.5.006. Test the series for convergence or divergence using the Alternating Series Test.…

A: Use alternating series test to check the convergence of series

Q: Find the area between the loops of the limacon r = Area = 5(1 + 2 cos 0).

A: We have to find the area between the loops.

Q: Find the area of the region between the curves y = 12 - x² and y = x² – 6. Area between curves =

A: To find the area between the given curves

Q: Consider the series (4x)n n n=1 Find the interval of convergence of this power series by first using…

A: Given problem:-

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A:

Q: Find the area between the curves y = e 1. = y = 2.3x + 1 from x = 0 to x = Area -0.4x and

A:

Q: Resonance is not a phenomenon

A: answer is in next step

Q: Verify Green's Theorem by evaluating both integrals √< y² dx + x² dy = [] (ON - 3M) de dA ?х ду for…

A:

Q: y = x² + 2 Δy = dy= Need Help? x = -3 Read It Ax dx = 0.01 Watch It (Round your answers to four…

A:

Q: what values of x is f(x) = 2 tan(x + π/6) discontinuous?

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: (D³ + D)²y = 0

A:

Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). X sin(2u) = cos(2u) =…

A:

Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: Here, the given series is: ∑n=1∞7n2(2n+1)! Let, an=7n2(2n+1)!; n≥1