Describe the motion of a particle with position (x, y) as t varies in the given interval. x = 7 sin(t), y = 8 cos(t), -π t≤ 9π

Q: Find f'(x). f(x)=9x²-3ex

A:

Q: Determine the angle that vector a = (12,-3, 4) makes with the y-axis.

A: The angle between the vector a=(12,−3,4) and the y-axis is approximately 103.34…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Question 3Answer : option DQuestion 4Answer : option D none of the above Explanation:Step 1:Question…

Q: Find the arc length of the curve on the given interval. x²,y=141, 0 ≤t≤7 Select one: O a.…

A: Given the parameteric form of a curve.

Q: Sketch the region bounded by the curves. Find the exact coordinates of the centroid. Show all your…

A:

Q: Suppose f is a differentiable function of x and y, and g(u, v) = f(e" + sin(v), e" + cos(v)). Use…

A: Answer:  gu​(0,0)=17gv​(0,0)=8Explanation:Step 1:

Q: Consider the following function: 567 X if x-6 f(x) = k+569 if x = -6 (kx)23 if x > -6 For each of…

A: The limit of the function f(x) at x= -6   exist if =

Q: The function P(x)=-1.5+ 300-6000 gives the profit when units of a certain product are sold. Find a)…

A:

Q: Solve for the variable P to two decimal places. 75,600 = Pe 0.077(6)

A: P=47631.04Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Sketch the curve represented by the parametric equations, and write the corresponding rectangular…

A:

Q: A company estimates that the weekly sales g of its product is related to the product's price p by…

A: SolutionA)11/5B)$2166.94C)$2276.86Explanation:Step 1: Explanation for question

Q: 1) Find the equation of the tangent plane to a)z In (10x² + 2y² + 1) at P(0,0,0) b) z = f (x, y) =…

A: Ans 1)a. z = 0b. z = √2(4x+4-π)/8Explanation:

Q: Find f'(x). f(x)=7ex+2x-5 Inx

A: The objective of the question is to find the derivative of the function f(x)=7e^x+2x-5 ln(x). The…

Q: Let (f : [0, infinity) -> R be an arbitrary continuous function, which is differentiable on…

A: The objective of this question is to prove that for a given function f, which is continuous and…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: The point (1, 2, 3) is in the plane r=(−3,4,0)+t(6,4,−2)+s(1,−4,4).Explanation:Steps and…

Q: For each function graphed below, state whether it is one-to-one. Graph 1 Graph 2 Graph 3 One-to-one?…

A: To find whether the given graph is one to one ?

Q: PLEASE ANSWER THE QUESTION ACCORDING TO INTERVAL NOTATION. AND PLEASE WRITE THE ANSWERS AT THE END…

A: a) (−23pi​,−2pi​)b) (0,0)c) (0.57,0.07904)d) (−6.18,−pi)∪(0,0.57).Explanation:a. Given the function…

Q: For the equation sin x = cos(5x), use the Newton-Raphson method to find an approximate solution. Use…

A: To apply the Newton-Raphson method to find an approximate solution to the equation sin(x) = cos(5x)…

Q: Find f'(x). f(x)=5x-4ex

A: f′(x)=5exe−1−4exExplanation:

Q: Do not round until the final answer. Then round to the nearest cent as​ needed.

A: A thorough explanation is provided below.   Explanation:                                  So, the…

Q: The voltage V in a simple electrical circuit is slowly decreasing as the battery wears out. The…

A: Please see the explanation Explanation:Step 1:

Q: Find a set of parametric equations for the rectangular equation y=4x-4 that satisfies the condition…

A:

Q: 1 3. Find the area under the curve y = x³ + 3 -x+4 from 0 to 2.

A: A=338​squareunitsExplanation:Step 1: Sketch the graph of the equation y=x3+31​x+4. The graph is…

Q: Find the first partial derivatives of f(x, y, z) = z arctan (1) at the point (1, 1, -5). af A. of…

A: A)25​B)−25​ C)4π​Explanation:

Q: 0 and x = The curve y = 9√√√ is rotated about the x-axis between x = : 1 through an angle of 2…

A: ans=40.99 pie sq unitsExplanation:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Solution of the above mentioned problem is provided below for further queries u may ask in comments…

Q: Hello, I am in the middle of an exercise and I am getting tripped up on solving this integral. Could…

A:

Q: Hello  Could you help with this problem:  Let S be the surface given by the equation y (see picture)…

A: (x,y,z)=(cosz,sinz,z),−2π​<z<2π​Explanation:Step…

Q: Find y'. y=(4x-4)(2x+1) OA. 16x-2 B. 8x-4 OC. 16x-12 OD. 16x-4

A:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: 9)The correct answer is: "False". A normal vector to a line is perpendicular to that line, not…

Q: Do not round until the final answer. Then round to the nearest hundredth as​ needed.

A: Answer:  t≈54.93Explanation:Step 1:

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: (-5, 2, 1) Explanation: Here, given equations of lines are…

Q: Let F be a smooth 2-dimensional vector field defined on an open set U in the plane containing a…

A: The objective of this question is to find the curl of a 2-dimensional vector field F at a point P,…

Q: John is floating on a tube in a wave tank. At t 1 second, John goes over a wave at a maximum height…

A: We need to solve the sinsoudial model problem.

Q: Now, we can find the revenue function by multiplying the price function by the quantity function and…

A: Revenue function can be obtained by multiplying the price function by the quantity function.

Q: Solve the following system of equations using any appropriate method of your choosing: • x-y+z=8…

A: The correct answer is:(x,y,z)=(3+2z,-5+3z,z)Explanation:

Q: 1an with a₁ = 2, an+1 = an with a₁ = 3, an+1= 1+sin(n) n 3n-1 2n+5 an an v. vi. n=1

A: (v) Given that the series is                  Thus, the series is convergent by the ratio test.

Q: Find the derivative. p= secg+ csc q CSC q dp OA. = sec q+1 dq dp OB csc c cot c dq dp = sec dq dp…

A:

Q: No hand written responses.

A: (A) N is discontinuous at t2, t4, t5, t7 and t8 . (B)Option A. limt→t6​​N(t)=4 Option A. N(t6) = 4…

Q: Help this question

A: The correct unit vector pointing uphill as steeply as possible is approximately (−0.9798,−0.1952),…

Q: Find a simplified expression for tan (sin -1 (-/-) r

A:

Q: Prove that 3 is prime.

A:

Q: Equations are given whose graphs enclose a region. Find the area of the region. y = x²-2x+1; y =…

A: Answer is given below:  Explanation:Question 1:Answer:

Q: Evaluate the integral √¹²x² tan¹(x)dx Give your answer correct to 2 decimal places in degrees.…

A: Therefore, the value of the integral is approximately 13.75  degreesExplanation:To solve the given…

Q: Use the One to One Property to exactly evaluate the following logarithm. The answer will be…

A: By using the one to one property to exactly evaluate the following logarithm.

Q: Find dy dx y=9lnx+5 loggx

A: dy/dx=9/x + 5/(x*ln9)Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Letr→ (t) = 52 √√2t-3,3 sin(-4t) > 5t-2' Find fr→ (t)dt (don't include the +C) fr→ (t)dt = . + C

A: Hence Complete the solution.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the average rate of change of the function over the given intervals. 10x)=5x+5; a) [1,3],…

A:

Q: ii) xy5/2+x³/2y 12. Point (4, 1). d²y Ex 3. Calculate the second derivative for the following: dx2…

A: The given equations are

Q: Consider the graph of H(t) = k(1 - 6t) where k is a positive constant. (a) Find the coordinates of…

A: (a). Horizontal intercept : (61​,0)  (b). Vertical intercept : (0,k)   Explanation: