Find the critical number(s), relative maximum, relative minimum, absolute maximum, absolute minimum of the function on the defined interval. f(x) 3cos(x), [0,4]

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e⁹x + e-x (a) Find the…

A: Given: To Find: (a) To find the intervals on which f is increasing and decreasing.(b) To find the…

Q: How do you tell the graphs apart?

A: Hence, we can identify that The cubic graph is f.The parabolic graph is f'.The straight line is…

Q: Use the graph to find (a) f(-3), (b) f(0), (c) f(1), and (d) any values of x such that f(x) = 2. (a)…

A:

Q: pre-test post-test Mean Variance -2.25 0.75 9.30 13.30 Observations 12 12 Pearson Correlation 0.9478…

A: The objective of the question is to determine which statement is correct based on the given…

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A: From the given picture we have to write the given vector as linear combination of i and j.Initially,…

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A: given function h(x) = (1.3)x

Q: #2 Given the integral S√ S√ 4 cos(x²) dx dy 0 [FIN √4 y (a) Do not attempt to evaluate it yet.…

A: The value of integral is 2 and the detailed explanation is mentioned in attachmentExplanation:Step…

Q: Find the volume of the solid generated by revolving about the x-axis the region under the curve y 38…

A: To find the volume of the solid generated by revolving about the x-axis the region under the curve…

Q: Use the given transformation x = 2u+v,y=u+ 2v to evaluate the integral [] (2y = x) dA where D is the…

A: To find:- ,where D is the triangle region with vertices

Q: Find the vector r(t0); then sketch the graph of r(t) in2-space and draw the tangent vector r(t0).…

A: The objective of the question is to find the derivative of the vector function r(t) at a specific…

Q: f(x)= 4 tan² (x-2)

A: f(x)=4tan2⁡(x−2)f′(x)=ddx4tan2⁡(x−2)Chain Ruleddxf(g(x))=f′(g(x))g′(x)Using the power…

Q: Two towns A and B are 5 km and 7 km, respectively, from a railroad line. The points C and D nearest…

A: Ans : Station  s is located 2.5km away from point c.Explanation:

Q: lim 81x √√2x²+1 x

A:

Q: Find the area of one petal of r = 9cos30

A: r=9cos⁡3θFor the area of one petalr=0cos⁡(3θ)=03θ=−π2,π2θ=−π6,π6−π6≤θ≤π6

Q: I just need this checked and corrected please

A: Given:curve To find:Find the integral for arclength and surface area.Here a=0 and b=3, f(x)=

Q: . Let f(x, y) = x² (y-1) x²+(y-1)² Determine the existence of limit lim f(x, y) (x,y)-(0,1) ху y =…

A: Given below solution Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Determine whether the statement is true or false. ○ True Falco If Σ an = = A and n = 1 n = 1 Σ bn =…

A: The given statement If

Q: 2. Find the gradient of f, evaluate the gradient at the point P, and find the rate of change of f at…

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Complete the given table. (Enter the logarithm function in the form log, (b).) Exponential Form 45 =…

A: The objective of the question is to convert the given exponential forms into logarithmic forms. The…

Q: A pair of parametric equations is given. x = sin²(t), y = sin(t) (a) Sketch the curve represented by…

A: We are given the parametric equations we are to graph the curve represented by these parametric…

Q: | y=f'(x) 0 1 (a) Use a linear approximation to estimate f(0.95) and f(1.05). f(0.95) f(1.05) (b)…

A: f(1)=9f'(1)=2

Q: Given: x³-3t, y=t²-5 = a) Find the points on the curve where the tangent is horizontal or vertical.…

A: Given: To Find: (a) The points on the curve where the tangent is horizontal or vertical.(b)  in…

Q: Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros…

A: First Question:Option A:  x=−7,−1,2 Second question :f(x)=(x+7)(x+1)(x−2)Explanation:Step 1:Step 2:…

Q: Let a =. Find a unit vector in the direction of a

A:

Q: Find points using Lagrange multipliers for the equation and constraint in picture.

A: The solution to the given problem is attached below. For further doubts please, please comment…

Q: 4. Use Equation 5 to find dy/dx. (a) y cos(x) = x² + y² (b) arctan(ry)=x+xy (c) e sin(x) = x+xy

A:

Q: Need to Evaluate WITHOUT using a calculator! For: (Refer picture for the questions) (An…

A: 1) e-√2 2) -1 / ctn(46°)Explanation:1)  To evaluate the expression e(sin(-45)-sin(45)), let's first…

Q: Find the area of the region lying between the loops of =2+4sine. Select one: ○ a. 4(√3+2π) O b.…

A: The area is:A=4(33​+π) The answer is d.Explanation:The given polar function is:r=2+4sinθFirst, let…

Q: Find the value or values of c that satisfy the equation f(b)-f(a) b-a =f'(c) in the conclusion of…

A:

Q: When the velocity v of an object is very large, the magnitude of the force due to air resistance is…

A: Shell of mass = 3kgInitial velocity = 800m/secMagnitude of the force due to air resistance is…

Q: 8. Determine values of a and b so that the following function is continuous. f(x) = (2+3x-2x2 2-x…

A:

Q: Let ā = (-1, -2, 2) and 6 = (0, 4, −4). Find the angle between the vector (in radians)

A: To find the angle between two vectors a→ and b, we can use the…

Q: Please don't provide handwritten solution...

A: The objective of this problem is to find the rate at which water is being pumped into the tank. We…

Q: Let f(x, y) = 7ln(18x² — 9y). - Graph the boundary of the domain of f below. 7- 6- 5 4- 3 2 1 27…

A: given function

Q: Perform the following operations and simplify fully.

A: The objective of this question is to simplify the given expression by combining like terms.

Q: @ #10, In the xy-plane sketch the region R bounded by the curves x=y² and y=2-x b) Write down…

A: (a) Refer to the graph in Explanation(b)−2≤y≤1y2≤x≤2−y (c)∫−21​∫y22−y​(2y−3x)dxdy=−10261​…

Q: Ex 11. Let f(x) = = x²-9 be defined on the closed interval [1, 4]. Apply the MVT to find all the…

A: The given function is

Q: Problem #3: Find the inverse Laplace transform of the following expression. 5s+6 2-6s+9

A:

Q: The graphs of f and g are given. Find a formula for the function g. g(x) = 3 Need Help? -2 g Read It…

A: 2|x|Explanation:When input x is 1 then g(x) function gives output as 2. At x = -1, the function…

Q: Write the expression as the​ sine, cosine, or tangent of an angle. Then find the exact value of the…

A: The objective of the question is to rewrite the given expression in terms of sine, cosine, or…

Q: Consider the graph of the exponential function . Which of the following statements are correct?…

A: The objective of the question is to identify the correct properties of the graph of an exponential…

Q: Evaluate the integral. √x (x². - 49)³/2 dx

A:

Q: How can I tell if the Mean value theorem can be applied or not?

A: The Mean Value Theorem can be applied for the function.  The values of c are −3​1​ and…

Q: U-2 1.Ify= andu = x² +1, find ddy U+2 Χ at x=1. dx dx

A: The required derivative is:dxd​(dxdy​)=(x2+3)324−24x2​ The value of the derivative when x = 1 is…

Q: pls make sure correct

A: a) 0°C , 37.71°Cb) 75Explanation:

Q: 1.) The three vertices of a regular tetrahedron are located at 0(0,0,0), A(0,1,0),B(3,0), and 03. A.…

A: Given:The three vertices of a regular tetrahedron are located at ; (a)To find:the unit vector…

Q: Convert the integral 6 LL dy dx to polar coordinates and evaluate it (use t for ): With a = 0, b =…

A: To convert the given double intergal to polar coordinate , We substitute x = r cos(t) and y = r…

Q: Let à =. Find |ā|.

A:

Q: Reflect? Stretch/Shrink vertically? Stretch/Shrink horizontally? Shift up/down? Shift left/right? by…

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Q: D) Consider a function f(Sv) of two variables, S and v. Assume that for S-103 and -0.1 we have the…

A: Given:To find:value of f(S,v) when S=103.5