7. f sin¹ xcos² xdx

Q: An equation of a parabola is given. y² = -32x (a) Find the focus, directrix, and focal diameter of…

A: To find focus directrix of given parabola.

Q: Use an appropriate Taylor series to evaluate sin(3x) - 3x + 2x³ x3 lim x →0 1. limit= 2. limit 3.…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Let f(x, y) = x² + 2y² + 8zy List the critical points: The critical point at the origin is a Select…

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Q: Question 11 Textbook 70- 60 50 40 30- 20 10 Question Help: Video ( > -19 10 20 30 40 50 60 Miguel is…

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Q: Find the value of c such that . Give your answer in exact form satisfies the heat flow equation C=…

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Q: 6.25x² +9y2: = 225

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Q: Find the degree 2 Taylor polynomial of f centered at x = 2 when f(x) = 5x ln x. 5 1. 10ln 2+5ln 2(x…

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Q: S ydy 4 +√/y²-9 2 Vy

A: Given integral:- ∫ydyy2-94

Q: Use a right Riemann sum with six intervals indicated in the table to estimate the height h (in ft),…

A: Given Table:- Time  velocity(ft/s) 0 0 10 185 15 319 20 452 32 742 59 1325 62 1460…

Q: Question 19 If f'(x) = cot²x+1 and f ANSWER: Blank 1 KIN ______ 1, then 1 f(0)

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Q: 1 (3y′)² = (4x²y³ + y)¼y″

A: The given differential equation is: 3y'2=4x2y3+y14 y''

Q: The zero-order Bessel equation is X²y''+xy'+x²y = 0 Show that X = 0 is a regular singular point,…

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Q: CONSUMER a certain commodity is D(p) per month when the market price is p dollars per unit.…

A: To determine the price at which the expenditure stop increasing and begin to decrease

Q: WORKER EFFICIENCY An efficiency study of the morning shift at a certain factory indicates that an…

A: To find the rate at which rate of worker's production is changing.

Q: Estimate the value of 1.011.01 using differentials. O 0.99 O 1.0101 O 0.9899 O 1.01

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Q: Find the rate of change of f(x) = x³ - 3x + 1 with respect to a when x = 1. O a. -1 O b. 1 O c. 2 O…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: Find f'(2) if f(x) = h(x) · (x² + 3) where h(2) = -3 and h' (2) = 2. Answer:

A: We need to find out the derivative of the function.

Q: Do not use a calculator for this problem. Find the x-value where the maximum value of y = sinz - 2z²…

A: We have to find the x-value of maximum of given function.

Q: Determine the dependent variable independent variable type pde/ode order degree linearity

A: To determine the characteristics of given differential equation

Q: APPLIED CALCULUS (UPVOTE WILL BE GIVEN. PLEASE WRITE THE SOLUTIONS LEGIBLY. NO LONG EXPLANATION…

A: We need to find out the vertical and horizontal asymptotes.

Q: The function f(x) = - 2x³ +36x² = This function has a local minimum at x = with value and a local…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 5 2 1 -3 -4 -5+ a

A: Given query is to find the equation of the graph. To

Q: 3. (b) Let f(x, y) = log((ry - 2)²), u = (₁4). i. Calculate the directional derivative Vaf(3, 1).…

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Q: Suppose P4(x) (part 1 of 4) = 2-5x + 2x². - 4x³ + 5x¹ 2. f(0) = 3 3. f(0) 4. f(0) 5. f(0) = -2 = 4 =…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: 7. Given a DE: y" + 2y' - 8y = 0 and a solution of the form y = ex for some (unknown) constant "r".…

A: The objective is to solve the above question.

Q: Determine the degree three Taylor polyno- mial centered at x = 1 for f when f(x) = e³-4x 1. T3 =e¯¹…

A: f(x)=e3-4xdexdx=exformula for taulor series is at…

Q: UPVOTE WILL BE GIVEN. PLEASE WRITE THE COMPLETE SOLUTIONS LEGIBLY. BOX THE FINAL ANSWER. Subject:…

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Q: 10. An ellipse has foci (-4-√15,3) and (-4+ √15,3), and its major axis is 10 units long. Find its…

A: given that focci of ellipse is  (-4-15 , 3) and (-4+ 15, 3) and its major axis is = 10  then we have…

Q: Given the differential equation y'=e^x/y and y(e)=1, what is C?

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Q: If u=sec 0, then A B 1² D du Г ©√¹² √u du C 1 1 SV² u√u su du 1 #/4 du tan 0 √s sec 8 de=

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Q: Question 19 If f'(x) = cot² x + 1 and f(1) = 1, then ANSWER: Blank 1 Blank 1 Add your answer 1 f(0)…

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Q: Sketch the graph of f(x) = 6 + x² 1+2x Carefully indicate: 1) Domain; 2) Intercepts; 3) Symmetry; 4)…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Evaluate the given integral by making an appropriate change of variables. <-8y 1₂ dA, where R is the…

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Q: If f(x) = 2+1, then f is continuous at x = −1. x-2' The statement is O a. False O b. True

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Q: Solve the following DE: y'=y-ay-³e-2r O e²¹ = y(x²+C) 2x O e ²¹ = y²(x²+C) -2x ○ e− ²¹ =y²(x+C)…

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Q: Consider the curve y = 2x²-3x + 4. Find the slope of the secant line L of the parabola passing…

A: Consider the curve y=2x2-3x+4.i To find the slope of the secant line L of the parabola passing…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Given query is urgent find sequence converges or diverges.

Q: dy 2 (1+x)=x²2y, given that x = 1 when y = 2. dx 3 x³ + (y + 1)² dy = 0 dx dy #cosy+(1+e*) siny dx =…

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Q: 3. Solve (x + y)dy = (x-y)dx x² + y² = c a. b. x² + 2xy + y² = c c. d. x²-2xy-y²=c x²-2xy + y² = c

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Q: Complete the table given the D.E. y" + 6y' + 9y = 0 Differential Operator Form Auxilliary Equation…

A: Topic - Differential equations We are given, y''+6y'+9y=0 (a+b)2=a2+2ab+b2

Q: 165. Use Green's theorem to evaluate S (y² + x³) dx + x^dy, where C+ is the perimeter of square [0,…

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Q: A stone is dropped from the upper observation deck of a tower, 950 m above the ground. (Assume 9 =…

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Q: The small town of Boringville had a population of 5200 in the year 2000. The birth and death rates…

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Q: Will give good rating. pls

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Q: Initially, the amount of radioactive material is 17.37 grams. If its half-life is 3.45 years, find k…

A: This question can be solved by applying the concept of differential equation.

Q: Determine whether or not the vector functions are linearly dependent. a) O Linearly independent. U1=…

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Q: XZ Find the divergence of F(x, y, z) = (ln(x + y) + (2,0, 5). point (2,0, " V1+y~ sinh y, ze - COS Z…

A: To find the divergence of given vector function

Q: the intervals on which f is increasing and the intervals on which it is decreasing. f(x)=6-x+x² ect…

A: Given query is to find the interval where function is increasing and decreasing.

Q: 16 Co C D If u=lnx, then A B [² 1 2 5² 1 So e 2 1- (lnx) (1-u²) du (1-u) du © ²³ (1 - 1²) u ) du e2…

A: The given integral is [1-(ln x)2]/x, limit from e to e2.