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Q: QUESTION 15 π State the linearization (L (x) ) of f(x)=sinx_at a=− 6 O O L(x) √√5 4 √√3 L(x) = -X- 4…

A: Given query is to find linearization.

Q: Find the area bounded by y=x²+4x and x+y=6.

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Q: XXXI 1: GLY (23

A: Given query is to find statement is true or flase

Q: can you please explain the answer by solving this question again?

A: Please see the below picture for detailed solution.

Q: F. If the circumference of a circle is increasing at a constant rate of 4 feet per second, how fast…

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Q: Introduction to Calculus in Physics: Calculus is a powerful tool used in all areas of physics. One…

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Q: QUESTION 1 Determine the limit of sin (x) 1- cos(x) lim X-R- If you believe the answer is INFINITY…

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Q: -5 (sin³ (cos6dx; us

A: we have to evaluate the integral ∫05sinπx103cosπx106dxlet substitute :-    πx10=u ⇒dx=10πduupper…

Q: Radioactive Decay. Suppose the volume of a radioactive substance (in kg) follows the exponential…

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Q: (a) fx sin(2x) dx

A: According to bartleby policy we cannot answer multiple questions, we can only answer one question at…

Q: 01 a) 3 Note: denotes the floor function. The lim (-) is f -0 O b) 2 ( [x+8] -2x 5e O c) 4 O d) 6 x…

A: Note: The given options are wrong.  The answer is given in step 2.

Q: The graph of y= is shown below +2 *+5 -9-8-7-6-542-10 1 2 3 4 5 6 7 8 9 -2 X What is a possible…

A: To determine the factor which leads the the asymptote.

Q: Use the geometric series power series for the following Answer Σ n=0 - r = 1 + r + r² + r³ +…

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Q: QUESTION 8 Determine the limit of sin(x) lim x →0 X If you believe the answer is INFINITY (or…

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Q: Find dy if y = 4x² In x and evaluate dy when x = 1 and dx = 0.3.

A: Given Equation:- y=4x2lnx

Q: 4. Evaluate the double integral given by 3 fr 0 X 1 - dydx X

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Q: 23. Σ n=1 n - 1 n4"

A: Series is convergent  For detail...go through the solution

Q: In(4xy) 2. If w = n(4) cos(2yz - 3), x = log(t), y = 4e²² and z = sin(t³ - 1). Find du dt 3. Use…

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Q: 7. Assume that the carrying capacity for a certain region is 800 million. The population was 282…

A: Logistic Model  ⇒Pt=M1+Ae-kt  ⇒M= carrying capacity ⇒A=M-P0P0⇒P0=Initial population  at t=0 ⇒t= time…

Q: if (2,0,0)f(x, y) = f(0,0) then f(x, y) is continuous at (0,0) lim

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Q: Question A) E 2 [ 1: s] Find L {(e-4t-7)²}. B) Use the definition to evaluate the Laplace Transform…

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Q: d) 2.3 e) 2.8

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Q: B. A photographer is stationed 250 feet from the base of a tall tree. She observes a koala bear…

A: Let x and y denote the distance between the photographer and the base of tree and the height of the…

Q: (-) = a) 4 The lim fa x-0 Ob) 20 c) 9 ( [x+10] 9e-2x (6 ln(x Note: denotes the floor function. d) 26…

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Q: a. Sketch the graph of y = e 2 labelling all important features including any asymptotes and…

A: (a) Given that,           y = ex-2 Vertical Asymptote: None Horizontal Asymptote: y = -2. Intercept…

Q: In the following question, enter 000 to say "does not exist" Use the First Derivative Test to find…

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Q: If f(x)= [2 x] then f(-2.1)= O a) -5/ b) -4.2 c) -6 d) -7 Oe) None of the above.

A: Ans:- (a) -5  For detail...go through the solution...I have solved in detail

Q: Determine whether the following series converges or diverges. Be sure to state why it converges or…

A: The answer is given in step 2.

Q: 6. Find the general solution of the differential equation given below ex-y y = y(0) = 0

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Q: particle moves such that its velocity at time t is r(t) = (3 cos nt, 2 sin nt, t) and such that it…

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Q: 6. Find the general solution of the differential equation given below ex-y 2et. y(0) = 0 y =

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Q: (a) Find the length of the curve r(t) =(√2t)i + (√2t)j + (1-t2)k from (0,0,1) to (√2, √2,0). (b)…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Differentiate with respect to x: g(x) = tan−¹(x) sec (x)

A: The function is given as g(x)=tan-1(x)sec(x)

Q: Find the curl of the vector field F. F=x²yzi+xy²zj+xyz¹k curl F = (i+Di+k

A: Given query is to the curl of F

Q: Let an = (2n)!) n!nn 1/n 4 for all n E N. Show that lim an = 9 n→∞ e

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Q: Using trig substitution only evaluate the following dx 16-22

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Q: Find the absolute extrema of the function f(x) = 2x³ - 3x² - 12x + 2 on the closed interval [-2, 3].…

A: The given function is; f(x)=2x3-3x2-12x+2 on interval [-2,3]

Q: 4) y = sin(0-2) - 3 3r 2 一 J 2 31 2 1 =1 π 2 2 B EN 3 2

A: We have to graph the given function.

Q: I 73 家 9 +la -2 √9x+8 dx =

A: Our Aim is to evaluate the definite integral given below:-∫-49739-29x+8dx-(i)

Q: Compute the values of dy and Ay for the function y = 22 + 3x given z = 0 and Az = dz = 0.03. Round…

A: dexdx=exd(constant)dx=0△y=f(x+△x)-f(x)

Q: pls solve the laplace transform of this function. you can use the table of laplace transformations.…

A: To solve the laplace transform of this function.sin0.5t cos3t

Q: Let R be the region bound by the curve f(x) = (x + 1)² the x-axis, and lines x = 0 and x = 2 Find…

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Q: 9. Identify all of the separable differential equations from the following list. (a) y': = y(y − 1)…

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Q: 18 Determine the limit of lx - 11 x-1 lim x-1- If f you believe the answer is INFINITY (or…

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Q: . What is the volume of the tetrahedron bounded by x+y+z=5, x = 0, y = 0, z = 0 ? the planes

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Q: The concentration of a certain drug in the bloodstream x hours after being administered is…

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Q: In determining the proper daily dosage for a new drug and the number of days of the medication…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: find critical points

Q: T 2 -N f(x)=√x+1 9. f(x) = x-1

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Q: The weekly average costs, in dollars, of the We-Are-Drones is given t where a stands for the number…

A: Since you have asked multiple part question, we will solve the first 3 part of the .question for you…