Find the amplitude, period, and horizontal shift of the function. y = −9 sin (2(x + ?/2

Q: For each of the following functions, find the indicated derivative using the definition. f(x) : 1+ s...

A: Given query is to find the derivative of the expression.

Q: The winner of a "million dollar" lottery is to receive $50,000 plus $50,000 at the end of each year ...

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Q: Determine the particular solution. (2xy)dx = (y² – x²)dy × = 1, y = -2 2 = 3x3y + y3 O 3 = 3x?y + y3...

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Q: 3. Find g if g'(x) = 8x(x® – }) and g(2) = 3. %3D %3D

A: We will find g. 

Q: Calculate M, for f(x) = 6 · In(æ³) over [1, 2]. M6 ||

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Q: A/2 15 10 r=7+7 cos 0 -5 5 5 10 15 - 10 15

A: The graph of the curve is given by To evaluate: The area of the shaded region.

Q: Explain why the function is differentiable at the given point. f(x, y) = x*e", (1, 0) The partial de...

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Q: Find the dot product of the following vectors u and v. %3D

A: The dot product of u and v Vectors is -16

Q: Lesson 12.3 Solving Rational Inequalities Find the indicated information for the inequality. 4 7 5 +...

A: We have to find the solution

Q: Use the Chain Rule to evaluate the partial derivative ah at the point (q, r) = (1,2), where h(u, v) ...

A: ∂h∂q=(∂h∂u×∂u∂q)+(∂h∂v×∂v∂q)∂h∂q=ev×4q3+uev×r2Substitute q=1 , r=2⇒u=q4=(1)4=1and v=qr2=1×(2)2=4

Q: Find the critical numbers of f (if any), find the open interval(s) on which the function is increasi...

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Q: 1) (4x³ - 17x² - 1x + 29) + (x - 4) 1)

A: We can divide the asked question using long division method as below.

Q: In a test student A can finish 2 items in 6 mins while student B can finish 2 items in 5 mins. If th...

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Q: Find an equation of the plane that is normal to the surface Iz + yz? = 2+ yz at the point (2,-1, 1).

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Q: Find the slope of the line tangent to the graph of ye* = y2 + x – 6 at (0, 3).

A: Given query is to find the solpe of tu tangent line at indicated point.

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: cos x dx = 0 %3D

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Q: Given the System of Differential Equations dr 6x - 3y dt dy = 2x + y dr The system can be rewritten ...

A: To solve the following linear of system equation

Q: Compute the directional derivative in the direction of v at the given point. f(x, y) = exy=y, v = (1...

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Q: A. Given: Given Quadrilateral WISH is a parallelogram. 1. If mzW =2x+19 and nzS = 4x +9. what is mzW...

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Q: Consider the following graph. y -5 -4 3 1 1 2 3 4 6. (a) Find the interval(s) on which f is increasi...

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Q: Approximate cos(91∘) by using a linear approximation of f(x)=cos(x) at x=π2. Give your answer round...

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Q: Find the directional derivative of f(x, y, z) = xy + z at the point P = (2, –6, –-1) in the directio...

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Q: b g(b) Use the Substitution Formula, f(g(x)) • gʻ(x) dx= || f(u) du where g(x)=u, to evaluate the fo...

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Q: Find the area of the region bounded by Vx2 + y?=4, y+4%3D0,y-4=0 and x-10=D0

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Q: Use the chain rule to find the indicated partial derivatives. z = x* + xy, x = s + 2t – u, y = stu? ...

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Q: Determine the particular solution. (y² + 7xy + 16x²)dx+ x²dy = 0° ×=1, y=1 O 5(y+4x) = *-y In(x) O 5...

A: Let's find. 

Q: The height (feet) of an object moving vertically is given by s = - 16t + 272t + 204, where t is in s...

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

Q: Find the slope of the tangent to the curve y² In(x) + x<y = 5 at (1, 5).

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Q: If ye – 6y = 5, find dy/dx. dy %3D dx

A: yex-6y=5y(ex-6)=5y=5ex-6Differentiate w.r.t x

Q: Gravel is being dumped from a conveyor belt at a rate of 40 ft/min, and its coarseness is such that ...

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Q: 3. For h(x) = (2x+3)2 find h' (1). (3-x)4

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the R...

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Q: For the curve x (t) = t², y (t) =t³ – 3t Given the curve crosses itself at (3, 0), a) Find the point...

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Q: の dy Sーメ+ リーX +5

A: This is a problem related to differential equation. Based on the general formula we will solve the q...

Q: Evaluate the integral. 3* dx V3* + 4

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Q: stion e graph of the function to find its domain and range. Write the domain and range in interval n...

A: Given query is to find the domain and range of the graph.

Q: Let f(x, y) = In(x) + In(y), r(t) = (cos(t), r). Use the Chain Rule to calculate f (r(t)) at the val...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Consider the line parametrized by r(t) = (3, –1,5) + t(8, 12, –6). Identify the parametrizations equ...

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Q: Find the limits. f(x) = 2x2 - 3x + 16, g(x) = x+ 2 %3D (a) lim f(x) = X-3 (b) lim g(x) = X-25 (c) li...

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Q: Find the interval(s) over which the function 3x^4+16x^3+24x^2-16 is concave up and concave down.

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Q: Queskon (2): sKelch and ind Range.- り f: (x+2-4 2) fra): 4- Vx-5 Lo -1x +3 +5 u) frag= 2-15+x

A: Hello learner, we can answer the first question among the asked questions as per the honor policy. P...

Q: The 6-ft wall shown here stands 26 ft from the building. Find the length of the shortest straight be...

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Q: (5) Given f(x) = x° + 2x-5x- 4, how many values of x does f(x) = 2, for 0 < x < 10? (A) None (B) One...

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Q: A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 cm. by 15 cm. by cu...

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Q: If x³ + 4x³y? = x – y³, find dy/dx. 3,2 | dy %D dx

A: Here we have to find the implicit differentiation.

Q: Given y=5x+2−−−−−√, find the differential dy when x=1 and dx=0.3. Round your answer to three decima...

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Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the ...

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Q: h of the following functions, find the indicated derivative using the de x + cos(3nx) '; f'(1) x2

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