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Q: Please see image thanks!

A: The objective of the question is to find the derivative of the function f(x) = e^x at the point x =…

Q: A particle moving in the xy-plane has a position vector (est, √) for t≥0. The acceleration vector of…

A:

Q: (a) Graph the curves: A: r = 1 B: r = 1 + cos 0 (b) Find the area of the region that lies inside the…

A: The area of the region that lies inside the graph of A and outside of graph B is…

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: 7

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

Q: Question 15 4b. Find f" (3) if f(x) = -5x³- 4x² - 3 00 O-159 0-98 0-30x-8

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Q: Using triple integrals, set up the iterated integral that would determine the volume of the solid…

A:

Q: 1. Given the following matrix: -13 0 t² - F = 6 -8 7 t 2 -7 Determine answers to the following: a.…

A: The objective of the question is to determine the dimensions of the given matrix and to calculate…

Q: Question 8 11a. At the end of summer Sally empties her pool. The depth of the water in the pool, h…

A:

Q: Please be thorough and walk through each part. This wi help so much. Thank you!@

A: (a) dθd​x=0.035898 (b) D=3sin(2θ) (c) dθd​D=3Explanation:

Q: At a price of x dollars, the supply function for a music player is q = 95e0.006, where q is in…

A: we will find the marginal supply and given parts.

Q: Given vector = 5i + 10j, which of the following is a vector that is orthogonal to ?

A:

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A:

Q: (a) Determine which of the following vector fields is a curl. If F is a curl vector field, find G…

A: a) To determine whether a vector field is a curl, we need to  check if it satisfies the conditions…

Q: 14. cot4 2x dx

A:

Q: 2 square root of 882 divided by 7 square root of 5

A: given expression 2 square root of 882 divided by 7 square root of 5

Q: Find Düg(1, −1) where g(x, y) = e−(x²+y²) and u is the unit vector parallel to .

A: To find  is the unit vector parallel to .

Q: A company that produces cell phones has a cost function of C=4x^2-46x+17033, where C is the cost in…

A: X=5.75 thousand phone produced will minimize CExplanation:If you have any problem let me know here…

Q: 16. Let u=2i+2j and v=-i+√3j. Find the angle between these vectors. (Hint: Graph each.) A. 120…

A:

Q: (d) Find an equation for each of the graphs: For graph (1), x(t) = For graph (2), x(t) = = For graph…

A: To find the equations of the given graphs

Q: I need help with this problem and an explanation for the solution described below (Discrete…

A: The objective of this question is to find the cardinality of the power set of a given set A. The…

Q: Annual sales of fountain pens in Littleville are 8,000 per year and are increasing by 9% per year.…

A: The annual sales of fountain pens are 8000 per year It is increasing at a rate of r=9%

Q: Question 1 Calculate R4 (right endpoints) and L4 (left endpoints) for f(x) = 8x² + 2x + 1 on [0,2].

A: The right endpoint Riemann sum R4, = 37The left endpoint Riemann sum L4, = 19.Explanation:Answer:

Q: - off 12y² – 12x dA where D = {(x, y) |0 ≤ x ≤ 4, (x − 2)² ≤ y ≤ 6} = Evaluate D

A: As  per our guidelines we can answer only 1 question so kindly repost the remaining question. here i…

Q: work tshould clearly presented and well explained. The solution must follow basic mathematicallogic,…

A: Dear student,Part 1: Answer:The global maximum for \( F(x) \) on the interval \([-6, 6]\) is…

Q: integrabl What is the volume of the solid generated by rotating about the x-axis the region enclosed…

A:

Q: Calculate the integral, assuming that 12 g(x) dx = 10. (Give your answer as a whole or exact…

A:

Q: 5

A: The required volume isV=2π(tan1−1)=3.5022Explanation:Given curves are:y=sec(x),y=1,x=−1,x=1 Step 1:…

Q: For this series, decide whether it converges absolutely, converges conditionally or diverge. Justify…

A: given series converges (conditionally)  by alternating series test Explanation:Step 1:Step 2: Step…

Q: Lone Depot and Homes are two competing home improvement stores. Each claims to provide customers…

A: Given that Lone Depot and Homes are two competing home improvement stores. Each claims to provide…

Q: QUESTION 7 The tank below is filled half way with oil that has a density of 750 kg/m³. The radius of…

A: The work required to pump all of the oil out of the tank is 6,650,123.33…

Q: Find the critical numbers of the function f(x)=-12x^5+15x^4+80x^3-3 and classify them. Round your…

A: The critical numbers of the function are,x=2.562,−1.562,0,0Hence x=0 is the point of inflection; it…

Q: Determine the values of a, b, and c such that the cubic function f(x) = ax^3+bx^2+cx satisfies these…

A:

Q: Given vectors = (5,-3) and = (-3, -6); find 4ū O=(12,32) ού = (8, 36) οὐ = (-32, -12) 0 = (32, 12) ο…

A: The objective of this question is to find the result of the scalar multiplication of the vector u by…

Q: Find the indicated partial derivative. R(s, t) = test; R(0, 4) R₁₂(0, 4) =

A: Final answer: Hence we getRt​(0,4)=1 The partial derivative Rt​(0,4) of R(s,t) with respect to t at…

Q: Question 2 please!

A: Dear student, kindly find below the answer to question 2 of your math assignment:Part 1: Answer:(a)…

Q: n (α) Σ λε

A:

Q: The total cost of a new automobile, including a 8% sales tax on the price of the automobile, is…

A: The sales tax on the new automobile is approximately $1,863Explanation:Step 1: To find the amount of…

Q: Find wa+bi =√z where a and b are real numbers. - -4i W = W =

A: Answer...w= -√2 + √2 iw=√z= {√(4-√2)/2 + i √(4+√2)/2} Explanation:Step 1: Step 2: Step 3: Step 4:…

Q: VII) Solve the rational inequality. Express your answer using interval notation. 4x 1. x²-4 I- -3 2.…

A: 1.xϵ⟨−2,0]∪⟨2,∞⟩ 2.xϵ⟨−2,3] 3.xϵ⟨2,4⟩   Explanation:

Q: Let f(x) = ln(x² + 18x+87) f'(x) =

A: x2+18x+872x+18​Explanation:

Q: A calculator may not be used on the following questions. 4 TT A polar curve is given by r = The…

A: The slope of the curve at x=π/2  is equal to 0.25 The correct option is option (d)Explanation:Step…

Q: a parabolic arch of maximum height 40 m is 30 m wide at ground level. A horizontal beam of length 12…

A: The objective of the question is to find the height of the beam above the ground when it is placed…

Q: Replace the letter A in the integral S Ae6x³-5x2 1 da so that the integral evaluates to 6x³-5x² +C.…

A: A=9x2−5xExplanation:Concept : if we differentiate this 21​e6x3−5x2+C we get Ae6x3−5x2And on…

Q: 4. dx √-x² + 6x

A: 4.We need to evaluate the following integral,⇒I=∫dx−x2+6x ;

Q: Convert the Cartesian coordinate (-3,2) to polar coordinates, 0 << 2πT r = Enter exact value. 0 =

A: The objective of this question is to convert the given Cartesian coordinates (-3,2) into polar…

Q: Explain how to solve this question in steps.

A: Therefore, the correct answer is option a) k=8Explanation:Step 1: Note: Here we used the fact that…

Q: Using the Lagrange multiplier method, find the values of x,y given the function f(x,y)=x^2+y^2 and…

A:

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: The area enclosed inside the polar curve r² = 14cos(20) is Select one: a. 28 O b. 14 O c. 14元 O d.…

A: The correct option is b. The area is 14 unit squared.Explanation:Kindly see attached photo for your…