A calculator may not be used on the following questions. A particle moves in the xy-plane for >0 so that x(t) = r²- 5t and y(t) = Int. At time t = 1, the particle is moving Select one: a. to the left and up b. to the left and down C. ○ d. to the right and up to the right and down

Q: Set up the iterated integral that would determine the volume of the solid bounded by the graphs z =…

A: V=∫−33​∫−9−x2​9−x2​​(18−2x2−2y2)dydxExplanation:If you have any problem let me know here in comment…

Q: Find the interval of convergence of the power series. is a finite set of values, enter your answers…

A: The interval of convergence is (0,12).Explanation:Steps and explanations are as follows:In case of…

Q: If the limit exists, evaluate it. Otherwise, try to explain exactly how it fails to exist

A: The complete answer is given below with step by step solution:Explanation:

Q: If club members charge $3 admission to a classic car show, 1000 people will attend, and for each $1…

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Q: The graph of the functions f (x) and g(x) y. ↑ a c are provided fox) x+ b gox)

A: The given graph

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves abo the…

A: The objective of this problem is to find the volume of the solid obtained by rotating the region…

Q: Consider the infinite geometric series Σ 1 -4 23 n-1

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Q: 8 k=1 tan ¹k 2 k²

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Q: Determine whether the following series converge or diverge. If the series converges, then find the…

A: Therefore, the series converges to 1/3. Explanation:To find whether the given series​ converges or…

Q: Evaluate the integrals that converge, enter 'DNC' if integral Does Not Converge.\int_(-\infty )^7…

A: The value of the integral is ∫−∞7​x2+91​dx=31​(2π​+tan−137​).Explanation:Steps and explanations are…

Q: A plasic bead has the shape of a sphere with a hole drilled through the center. The bead has a…

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Q: Find the vector r(t0); then sketch the graph of r(t) in2-space and draw the tangent vector r(t0).…

A: The objective of the question is to find the derivative of the vector function r(t) at a specific…

Q: 1 Given the conic section r = find the x and y intercept(s) and the focus(foci). 4+4 sin()…

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Q: Given triangle ABC, the measure of angle A is 60°, the length of BC is 3, and the length of AC is 03…

A: The objective of the question is to find out the number of solutions for the measure of angle B in a…

Q: Use the given information to find the exact value of a. sin 20, b. cos 20, and c. tan 20. cos 0= 7…

A: Ans:Detailed answers in explanation pleaseAny confusion please ask in clarification will provide…

Q: on what intervals is f continuous?

A: The answer is given below.Explanation:

Q: 322. Two poles are connected by a wire that is also connected to the ground. The first pole is 20 ft…

A: Given:To Find:

Q: PLS ENSURE ITS RIGHT ANSWER AND DOUBLE CHECK AND Solve this based on only contexts from Natural…

A: The equation of the tangent line is y−6x−2=0.Explanation:Steps and explanations are as follows:In…

Q: r: Find the domain and solve. 1 ln x + 1 ≤0 Domain Example: x7 Solution Example: x7

A: Domain: 0<x<e-1; x>e-1Solution: 0<x<e-1Explanation:

Q: Calculate the integral, assuming that ſ³ f(x) dx = 14 and √5 g(x) dx = 12. (Give your answer as a…

A: ∫05f(x) dx= 14 ∫05g(x) dx  = 12

Q: 2. Calculate the 2nd order Taylor polynomial of the following function at the point (0,0). f(x,y) =…

A: The second order Taylor polynomial given by The given function

Q: Estimate I = S 5 ⚫32 I ≈ (3x+6x2)dx using midpoints and n = 3 subintervals.

A: ​∫532​(6x2+3x)dx≈65691​Explanation:Step 1:​The midpoint rule is given…

Q: 0 (4x² + 3x + 1) dr using n Estimate I = 4 10 (a) Left endpoints. I ≈ (b) Right endpoints. I ≈ = 3…

A: ​(a) ∫410​(4x2+3x+1)dx≈1042(b) ∫410​(4x2+3x+1)dx≈1750​Explanation:Step 1:​(a) The left Riemann…

Q: Let F(x, y) = 2x 2yi + 3xyj, and C be the boundary of the square with corner points (±1, ±1),…

A: The objective of this question is to find the flux of the vector field F across the boundary C of…

Q: - Find the linear approximation L (x) of the function g(x) (1+xata - 0. L(x) = Use it to approximate…

A: To find the linear approximation .By using it to approximate the numbers .By using the technology to…

Q: Please answer parts a and b to the following problem

A: The objective of part (a) is to identify the errors in the proposed proof that uses the direct…

Q: 3 f(x) = 1½ x 4 - ³ ³ x² + 5 - 2

A: (4) Inflection point (−1,415​),(1,415​)(5) Concave up (−∞,−1)and((1,∞)(6) Concave down…

Q: Write the complex number in polar form with argument between 0 and 2. 8 + 8i

A: To write the complex number in polar form with argument  between .

Q: At what points does the normal line through the point (1, 2, 1) on the ellipsoid 4x² + y²+42² = 12…

A: smaller x-value: (−15,−6,−15)larger x-value: (343​,326​,343​)Explanation:Given the equation of…

Q: Compute the value of the following improper integral.

A: Therefore, the required answer is ∫1∞​9x2e−x3dx=e3​=1.103638323514326964Explanation:Step 1:  Step 2:…

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 1000-x²-542-782 where T is measured in…

A: i have solved the question manually,please see the attachments for answers and explanation, i hope…

Q: An airline sells tickets from Tokyo to Detroit for $1200. There are 500 seats available and a…

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Q: f(x) = 1½ x² - ²x² + 3 +5

A: (1) critical points= (0,5),(3​,411​),(−3​,411​)(2) Increasing on (−3​,0),(3​,∞)(3) Decreasing on…

Q: (BC Topic) A particle moves in the xy plane such that x=1+3 and y=5-4t for-1st≤5 Which point…

A: Solution is following in explanation step.

Q: 2. Three forces are acting on an object with the following magnitudes and directions: ||F₁|| = 60N,…

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Q: 2. Find absolute extrema of the function f(x,y) =x³-3xy +y³ on the region bounded by the following…

A: (a) (Note: All answers are listed below the explanation.)(b) The minimum value is -1, and the…

Q: Arrange the sets from top to bottom so that each set is a subset of the set below it.

A: An integer is a whole number which may be positive, negative, or zero.Natural numbers are all…

Q: Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm²/s) is the area of the…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

A: Saddle point (x, y) = (0, 0) Thank you  Let me know if you have any doubtsExplanation:Step 1: Given…

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Q: QUESTION 10 Suppose that the following function approximates the weight W (in lbs) of a particular…

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Q: 1 Ex 1. Does the extreme value theorem guarantee the existence of an absolute maximum or minimum for…

A: Given function We have to verify the extreme value theorem on the interval .

Q: Find the extreme values of f on the region described by the inequality. (If an answer does not…

A: Maximum= 9(9+82​) Minimum= −32Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Evalute the following integration: (x-4)dx x²-2x-15 x+9 X+9

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Q: Find the open intervals where f (k) is concave up and where it is concave down. Enter your answer in…

A: Need to find out the intervals where the function is concave up and concave down.

Q: Find the value or values of c that satisfy the equation f(x)=4x²+4x-3, (-2,0] f(b) - f(a) b-a =…

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Q: Write the expression as the sine, cosine, or tangent of an angle. Then find the exact value of the…

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Q: The area inside the polar curve r = 6+ 3cos (e) is ... (round your answer to three decimal places)…

A: the answer of this question is option b 127.235Polar function is the function that are represented…

Q: 4 g'(x)=- +9x2, P(1.4)

A: Given that the expression