What is the period of the function A sin(27Bt) + C?

Q: The graph of a function f is given. Use the graph to answer the question. Find the numbers, if any, ...

A: The local minima is a point in at which the function has a minimum value in its neighbourhood.  

Q: 1. cos x |? ecosx sin xdx

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

Q: Find the domain and range of the function. Use interval notation to write your result. f(x) =    4x ...

A: Given:    fx= 4x-5

Q: 2. x*dy +(2.xy – y° )dx = 0 Let the substitution v=2; y=vx; dy= vdx + xdv

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Q: Agree. then lim f(x) does not exist. Disagree 3. If f(a) is undefined, Justify:

A: Given

Q: dx 4. Evaluate the integral by trigonometric substitution: , Væ²-9

A: We can find the integral using trigonometric substitution as below

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded from above by the g...

A: Given:    f(x) = 10x - x2      g(x) = x    Interval: [ 3 , 5 ] 

Q: Use the Integral Test to determine whether the infinite series is convergent. 1 n + 81 n=9 Fill in t...

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Q: 3. To find the width ofa river, a surveyor on one side of the river measures the angle to a tree on ...

A: Given problem To find the width of a river, a surveyor on one side of the river measures the angle t...

Q: Determine the parts U Ind du for the following integral XVX-3 dx

A: Given query is to find the integration using substitution.

Q: 9. Use the Intermediate value theorem to show that f(x) = 2x( – 3 has a zero in the interval [1,2].

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Q: Choose the correct graph of y = 3 cos 3x, 0 < x < 2 T: 2 1 27 3 27 -1 -2 EIN

A: Topic:- geometry

Q: dx Evaluate 4+x² ° x dx 4+ x2 Evaluate 88

A: Given that: ∫-∞∞dx4+x2∫0∞xdx4+x2

Q: The figure shows graphs of f, f', f", and f". Identify each curve, and explain your choices. Figure ...

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Q: Find the Laplace Transform of the given function. Show your solution completely and box your final a...

A: Given that: f(t)=t2sin2t

Q: Calculating Mass from Radial Density. Mass-Density Formula of a Two-Dimensional Circular Object. Giv...

A: Given: m=∫0r2πxρxdx  ...(1) And ρx=6x ; x=6   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 A...

Q: 2. x'dy+(2ty– y°l&x =0 Let the substitution y=²; y=vx; dy=vdx+ xdv

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Q: f(x)=10/17sqrt(6x2+2x+6) =10(6x2+2x+6)

A: The given expression is: f(x)=10176x2+2x+6=106x2+2x+6

Q: 3. sinx tan x + cos x

A: We can simplify the expression as below.

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: 1000 A B

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Q: T26 = – 454 and T43 = – 760 are terms of an Arithmetic Sequence. Determine... 1) ...the first term (...

A: T26=-456T43=-760  T26=a+25d         -454=a+25d  T43=a+42d     -760=a+42d solve the above two equatio...

Q: x'dy+ (2xy – y° ktx = 0 2. Let the substitution y=2; y = vx; dy=vdx+ xdv y

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Q: 6. Determine the value of the constant a for which the function g(x) is continuous at x = 1 x* + 5x ...

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Q: Find the points on the curve y 2x3+ 3x2- 12x + 9 where the tangent line is horizontal. (x, y) (small...

A: The above question is answered below

Q: Ier. 3. Find the equation of the line through the point (0, 1, 4) and perpendicular to both the vect...

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Q: Evaluate tan xdx O -V2 0 2 In 못 2 In 꽃 O -2 1n v2

A:

Q: Consider the series > 5e". n=0 a. The general formula for the sum of the first n terms is Sn (5e( 1-...

A: This is a problem related to series calculation. Based on the simplified terms it was observed that ...

Q: 1 -x' dx (6х +5)*

A: Note: -Since you have asked multiple question, we will solve the first question for you. If you want...

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 - 9x² –...

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Q: Evaluate each of the following indefinite integrals. (a) J5t – 10t-6 +4 dt (d) Say (b) Jx° +x° dx w+...

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Q: 1 (i) lim 3n2 – 4000 のlim(- 2n2 +10000 X00

A: Topic:- calculus

Q: Evaluate the expressions. a) 4°.4-2 b) 3-2.3- a) 4° .4-2 (Type an integer or a simplified fraction.)

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Q: 6. PARTIAL DERIVATIVE OF MULTIVARIATE FUNCTIONS Find and for the following function. z* sin (y") + x...

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Q: Absolute maximum and minimum values of f(x)=2x3-3x2-12x+1 on the interval [-2,3]

A: The given function is: f(x)=2x3-3x2-12x+1 ;            x∈-2, 3

Q: Eliminate the arbitrary constant in the equation: a.) x²y = 4+Cy b.) y-x = C1e^x + C2e^-2x c.) y = 2...

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Q: 1. If f, g, and h are odd, integrable functions, and a is a real number then a | (1)i+ g(t)j+h(t)E) ...

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

Q: Find and y" for y = 0 cos e. %3D

A: y=θcosθdiff w.r.t θdydθ=-θsinθ+cosθdydθ=cosθ-θsinθ y'=cosθ-θsinθ 

Q: C(x) = 1,500 + 5x + 0.02x + 0.0003x3. (a) Find the marginal cost function. C'(x) = !3! (b) Find C'(6...

A: C(x) = 1500+5x+0.02x2+0.0003x3(a)C'(x) = 0+5+0.02(2x)+0.0003(3x2)C'(x)=0.0009x2+0.04x+5(b)substitute...

Q: The vector v=ai+bj is parallel to the line bx−ay=c. Use this fact to find an equation for the line t...

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Q: Let f(x)= -6x^4+8x^3+72x^2 a) The critical number of f are x= b) The values of x for which f has a...

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

Q: 1 A water tank has the shape obtained by rotating the parabola y equals x squared about the y-axis, ...

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Q: B: Evaluate the integral: TUTO (x + 1)-/2 (x – 1)5/2

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Q: . Using inclusion-exclusion find the number of ways to put 9 pairs of people in a ne of 18 so that n...

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Q: -20 e cos 30d0

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Q: 1.Determine if the following statements are mathematical or not. Provide solution. a. Today is MMW c...

A: We know a mathematical statement is either true or false .

Q: cosh(2r) – 1 6. (a) Show that sinh (z) = (b) Find the nth term of the following sequence {1,8, 10, 2...

A: The two problems are as follows.

Q: Center of Mass: Thin plate (region in the plane). Suppose Ris the region bounded from above by the g...

A:

Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place...

A:

Q: y = C,e²x cos(3x) + C2e2x sin(3x)

A: y=c1e2xcos3x+c2e2xsin3x  differentiate with respect to x dydx=C1(e2x3(-sin3x)+2e2xcos3x)+C2(e2x3cos3...