h (x)= 3

Q: What is the amplitude of y = 3 sin 2 x? 1

A: Given that: y=3sin2x

Q: Perform the indicated multiplication. - 4 -8 4. -1 8 -7 Select the correct choice below and, if nece...

A:

Q: 3-cos* (n)+2n 1. Let an Show that the sequence {an} converges using the squeeze %3D theorem. Show al...

A: As per our guidelines, I can answer maximum one question. Since you have asked for multiple question...

Q: Perform the indicated operation and write the result in standard form. (3 – 5i) O-646. 4+ 958. 4i O ...

A: Simplification of

Q: 1. Evaluate the limits. e' cos (t – 4) dt - 4 (а) lim x2 x2 – 4 e2 + 2 (b) lim x00 e2x + 100

A: Solve the following

Q: Lesson 7 CL Activity # 1 #4 4. S(x) = (2x-6)* 4. f(x) =- (x+3) (2х-6)

A: We are asked to find the second deritives.

Q: B. Determine the standard form of equation of the hyperbola whose general form is given. 4. 4x — 3у ...

A:

Q: Determine the equation of the tangent of the function, f(x) = 4−x / x+2 at x = 2.

A: According to question,Given function,fx = 4-xx+2

Q: dg 5t – 7t2 | for g(t) = dt 2et

A:

Q: Quadratic Formula ax + b = 0, a + 0 Linear Equation in one variable Quadratic Equation Quadratic Fun...

A: We have the following results   is Linear  equation in one variable. can be linear or quadratic or ...

Q: 4. If ā= 3i - 2j and b=-5i- j, express 3 a -b in terms of i and j.

A: This is a vector problem

Q: If T is the point at a distance T from P(1, 0) on the unit circle with its center at (0, 0), in what...

A: Given :- unit circle with centre (0,0)

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A:

Q: 3. For what values of x does the graph of f (x) = x³ + 3x2 +x + 3 have a horizontal tangent.

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Q: Calculate the vector field flow g⟶ (x,y,z) = (y) î - (x) j + (x + y) k, counterclockwise, along the ...

A:

Q: Consider the graph of 7x2 4x + 4y? – 5y = 100. - - - 4x + 4y? – 5y If the graph of 7x? stretched hor...

A: Topic:- calculus

Q: Identify the quadric surface each of the following equations represent and sketch its graph. A 9n? +...

A: Given that: 9x2+4y2+36z2=36

Q: coS X =dx sin? x

A:

Q: 2. Let f(x, y) = Vx² + y?. Find all critical points of f.

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the fir...

Q: Factor the difference an+1 – a, to show that the given sequence {an} is strictly increasing or stric...

A:

Q: Evaluate the limit 5(y? – 1) lim y→4 8y2(y – 1)°

A:

Q: 13 A spoke of a wheel makes 32 revolutions while the wheel is going 425 feet. Find the diameter of ...

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Q: 12- Evaluate S (x2 + y? + z?) dV where B is a ball with center the origin and radius 5. B

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Q: Evaluate the position function r (t) if we have the velocity function and initial condi- tions. 1 6t...

A: Given

Q: Consider two vector equations ℓ1 : ⟨x, y, z⟩ = ⟨3, 7, 4⟩ + t⟨2, 3, 1⟩, for some parameter t, ℓ2 : ⟨x...

A: Check the Ratio of direction ratios of both the lines. 

Q: For the geometric sequence, 9 27 81 3, 2 4 8 What is the common ratio? What is the fifth term? What ...

A: We have to find common Ratio,5th term and nth term for given sequence.

Q: To evaluate: The integral function x2 +x + 1 -dx. (x² + 1)²

A:

Q: Find the product, if possible. 5 -3 0 5 2 1 4 6. Select the correct choice below and, if necessary, ...

A: The given product,     710-5465-321

Q: Given the parametric equations, x = 2t + 5 and y = 3t2 - 1, find the point on the graph at time, t =...

A:

Q: Given the function g(n) = 7n² – 2n° + nº + n - There are at most n-intercepts, and at most turning p...

A: In the polynomial having degree 'n' , the maximum number of intercept is same as degree. A polynomia...

Q: 41. Let f(x, y, z) =x?y+ y²z. Use the Chain Rule to calculate af/as and af/at (in terms of s and f),...

A: Since f is function of x, y and z.  For partial derivative f with respect to s and t we using chain ...

Q: Part A) What is im f(xh x-0 Part B) What is f(o) Part C) What is im f(x)> x-2 Pan D) What is im flxh...

A: a) limx→0f(x)=-1 b) f(0)=-1

Q: 2. Given f(x) = 3x – 2 and g(x) =+, find each of the following: (a) (f o g) (z) (b) (go f) (x)

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Q: secx 5. When does the graph of the function f(x) have a horizontal tangent? 1+ tanx

A:

Q: Find the slope of the function's graph at the given point. 8 Function: g(x) Point of g is at (10, 0....

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Q: Explain the difference between a function f(x) being continuous at the point x=a and the limit exist...

A:  We need to find the difference between function is continuous at x=a and limit exists at x=a

Q: dy Given the equation below, find 20z + 4x®y+ v 15 dy

A: Please refer to the image below

Q: Find the unit tangent vector T, and the unit normal vector N for r(t) = at t = 1. Simplify your ans...

A: We need to find the  unit tangent vector T, and the unit normal vector N for t=1.Below find the solu...

Q: 3 Select the function that is even. f(x) = 3sin(x) f(x) = 3tan(x) f(x) = 3cot(x) f(x) = 3cos(x)

A:

Q: (1) Plot the graph of y = r³ – 3r - 5 = 0, and find where the curve crosses the T-axis and the y-axi...

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Q: Which of the following equations has amplitude = -2, period = 4, phase shift = - I? %3D y = -2cos8(x...

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Q: Find the values of a and b that make f(x) continuous for all real x.  f(x)= (2^xb+a+1,  x 1

A:

Q: 1. Let f(x, y) = x³y+ 12x² – 8y. Find all critical points of f.

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the fir...

Q: > [2] S 1+e* dx 1-ex

A: The solution is given in the next step.

Q: 19 The range of y = sin x is _______. y ≤ 0 -1 < x < 1 y ≥ 0 -1 ≤ y ≤ 1

A:

Q: the first image is what u have to find for #2

A: Topic:- geometry  Note:- as per our guideline if more than three subparts  uploaded than only first ...

Q: 10. Let f(x, y) = x²y + y. Find the minimum and maximum values of f subject to the constraint x² + y...

A: Given: fx,y=x2y+y The constraint equation is: gx,y=x2+y2=5   Now apply the Lagrange's multiplier; ∂f...

Q: Evaluate the integral. xex . (1 + x)2 xp

A:

Q: Find the average rate of change of the function over the given intervals. f(x) = 9x° +9; a) [1,3], b...

A:

Q: Compute the unit binormal vector B for the following parameterized curve: F(t) 4 2 3t, 1

A: Given:    r(t) = ⟨ t2/2 , 4-3t , 1 ⟩