Let f(x) = x for f B 2 3x² + 4 interval(s) of increase: interval(s) of decrease intervalls) of Concave up: intervalls)es of concave down: find ठे 2 D

Q: Question 1 A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at…

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Q: Change the order of integration for the double integral You do not need to compute the integral. 2…

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Q: The ramp of a moving truck touches the ground 15 feet away from the end of the truck. If the ramp…

A: The ramp of a moving truck touches the ground 15 feet away from the end of the truck. If the ramp…

Q: Find 3e dx f3e³ + C

A: ∫3exdx: Here taking constant out.   ∫afxdx=a·∫fxdx      =3∫exdx

Q: Find an equation of the plane. The plane through the points (2, -1, 3), (7, 4, 6), and (-2, -2,-2)

A: Points ( 2 ,-1 ,3) , ( 7 , 4 , 6 ) and ( -2 , -2 , -2 )

Q: 5 Write the fourth degree Taylor polynomial, T₁(2), for the function f(x) = 2-3r centered at a = -1.

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Q: Find an equation of the plane. The plane that passes through the point (1, 2, 4) and contains the…

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Q: Estimate the slope (in y-units per x-unit) of the tangent line to the curve. 40- 7 5- -10 -N -50 -co…

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Q: Find the derivative of the function & write your answer in simplified, fully factored form. y = (x²…

A: Given

Q: 2. Simplify, without a fractional answer: 2(1 - cos²x) sin³ x(cos²x+ sin² x)

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Q: Differentiate: y = dy da In(x) x5

A: Solving the problem.

Q: 3 - 2/3 + Find the sum: 3 3 16 64 + 3 256

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Q: f(x)= In (2-x² + 2x¹); x=1

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Q: Find a vector a with representation given by the directed line segment AB. A(-3, 1), B(3, 2) Draw AB…

A: To solve the following

Q: lim (ex + x) = хэр

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Q: A molding machine produces 4-centimeter cubes of plastic. The volume of molten plastic needed to…

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Q: If ƒ(x) = (8x − 3)³ · (2x² + 5)¹, find ƒ'(x) using logarithmic differentiation.

A: fx=8x-332x2+54

Q: 14) [2.30" dr et -dx 3+e*

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Q: | Suppose f (x, y) = −3x² − 3xy + 3y², P = (–1, 2), and u = (1/3, 1). A. Compute the gradient of f.…

A: The gradient of a function is a vector that points in the direction of the maximum rate of increase…

Q: 6) Find two unit vectors that are parallel to the tangent line of f(x) = tan(x) at the point (7,0).

A: Given that f(x)=tanx We have to find two unit vectors that are parallel to the tangent line f(x) at…

Q: Write the following expression in the form ax + bx, where a and b are real numbers and p and q are…

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Q: NJ 2 AY 4 X

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Q: Show that ∞ Σ n=1 3 n' +1 3 diverges using the Integral Test.

A: As you posted multiple questions I need to solve only one question.

Q: Consider the function f(x) = 5x + 3x¯ For this function there are four important intervals: (-∞, A],…

A: Given function is f(x)=5x+3x-1 Now first we shall find critical points then find whether the…

Q: 1. Using the definition of derivative, show that the function xez, f(x) = 1x², is differentiable at…

A: To solve the following problem and find whether the function is differentiable or not

Q: Σ32-4n n=1

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Q: $4,000,000 borrowed at 4% for 30 years, with quarterly payments

A: Given that P =$4000000  , APR =4%=0.04

Q: Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an…

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Q: 5) 2 [4x 4x + =dx X

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Q: 9. Solve the following initial value problem X dy dx + 2y = 4x², y(1) = 2.

A: given equation is xdydx+2y=4x2, y(1)=2

Q: 5. Determine whether each of the series converges conditionally, converges absolutely, or diverges.…

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Q: Find parametric equations for the line. (Use the parameter t.) The line through the points (0, ½, 1)…

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Q: 3. a. Convert 225° to radians b. Convert 13/12 to degrees: approximate to 3 decimals

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Q: QUESTION Let z = f(x, y) be a second-order differentiable function with x = u - vand y = u²v².…

A: We have z= f(x, y) where x=u-v and y= u2-v2. We need to find: zxy  This can be evaluated as follows:

Q: lim (see 3x) (Cos 5x) X-I lim (@+x)= X-0

A: a) limx→π2sec3xcos5x b) limx→0ex+x1x

Q: Construct the differential equation for the given exponential model. y(x) = 55e dy dx -0.18x

A: We need to find a differential equation dydx for yx=55e-0.18x This can be evaluated as follows:

Q: Investigate the following limit, using ∞ or - ∞ when appropriate. lim -tan 0 5x 0→2 Select the…

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Q: Find the cross product a x b. a = (4, 5, 0), b = (1, 0, 3) Verify that it is orthogonal to both a…

A: Given vectors are  a={4,5,0} and b={1,0,3} We have to find a×b

Q: Let R be the region bounded by y = 2√x, y = 2, and x = 4, as shown below. Suppose this region is…

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Q: 2.) Find a general set of solution vectors of x'1=-5x2 x'2=x1+3x2

A: To find the general solution of a system of linear differential equations, follow these steps: 1.…

Q: VIBRATIONS OF SPRING Exercise a. A 2 lb. weight stretches a spring 1.5 inches. If the weight is…

A: All the given data are÷

Q: Part. Determine the coordinates of the vertex of the following parables. 1) y=2x² + 3 2) y = 3x² -5x…

A: Note:- In multiple subparts, according to the policy we are supposed to attempt first three subparts…

Q: Find [[ (3x + 4y)dA (3x + 4y)dA where R is the parallelogram R with vertices (0,0), (1,-2), (5,4),…

A: The Jacobian determinant must be calculated and the change of variables must be applied in order to…

Q: Find all second order derivatives for z = 7ye4x. Zxx 0 Zyy = 3xy=2x =

A: The function is given by z = 7ye4x To determine: The expressions of zxx, zyy, zxy and  zyx.

Q: 6. Evaluate: 2x²-x+4 f x(x²+4)

A: We have to evaluate integration  (2x2-x+4)/(x(x2+4) ) With respect to dx

Q: 1) fx³ + e* +2dx

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Q: Find an equation of the tangent line at each given point on the curve. x=t² = 4, y = 1² - 2t 2y = x…

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Q: Can you do #3 please

A: To determine the convergence or divergence of the given series, we can use the Alternating Series…

Q: [3-R] [CLO 12] Give an equation for the line which passes through the point (−2, 5) and which is…

A: given equation of line passes through (-2,5) and perpendicular to line y=13(x+4)

Q: If z = (x + y)e", x = 4t, y = 5-t², find dz/dt using the chain rule. Assume the variables are…

A: Note:- Since you asked multiple questions ,according to our policy we can solve only first question…