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Q: A rectangular deck is to be constructed using a rock wall as one side and fencing for the other thre...

A: The question can be interpreted as shown,

Q: Find dy/dx.x = t sin(t)y = t2 + 3t

A: Click to see the answer

Q: if sin(0)=-7/25 with 0 quadrant IV, what is cos(0)?

A: Given

Q: f(x+h)-f(x) Simplify the difference quotient for the given function. f(x) 4x2-5x+5

A: First find f(x+h).Replace x by x+h in f(x)=4x^2-5x+5

Q: f(x)-f(a) for the following function х -а Simplify the difference quotient f(x) = x3-17x

A: Given,

Q: Suppose f(x, y) = ((xy2) / (x2 + y4)), for (x, y) ≠ (0, 0) ...

A: The given function is,

Q: Solve the equation for x: 272x+1=1/3

A: To determine the solution of the equation.

Q: The sales of Sherwin-Williams paint in different regional markets depends on several input variables...

A: From the given information, the paint sales model is S(x) = 597.3 (0.9214x + 12). Where x be the cos...

Q: Evaluate the indefinite integral -3 tan (x) sec'(x) dx +C

A: Given,

Q: Solve each equation. Leave the answer in exact form OR round to 3 decimal places. 5. 5e2x-3 8 = 37 b...

A: a.

Q: Optimization: A family wants to build a fence in their backyard for their dogs. If they can only aff...

A: Click to see the answer

Q: Please answer and clearly explain part b and c. thank you

A: As per the instruction, we are solving part (b) and (c) of the question.According to the information...

Q: Did I solve the question correctly? (my work is the second picture.)

A: To write down the first few terms of the sequence defined by the given conditions

Q: For the demand equation, use implicit differentiation to find dp/dx. 17p2 + 5p + 6 = x

A: Given:

Q: Use the given graph of the functionf to answer the following questions 10 1

A: Click to see the answer

Q: Use the graphing guidelines to make a complete graph of f(x)=tan-1(x2/square root of 3)

A: The given function is

Q: Example 5: Use the Second Form of the Chain Rule to find the derivative of each function. Verify tha...

A: Given that

Q: Evaluate the integral 6 dx (x+1) (x2+4)

A: Given,

Q: A. Find K given that K-1, 13, and 3k+3 are consecutive terms of an arithmetic sequence. B. Write do...

A: Given that K-1, 13, and 3k+3 are consecutive terms of an arithmetic sequence.

Q: how to solve problem in photo attached

A: Given:

Q: Differentiate y = e*cos x У'3

A: To find the derivative of the function which is exponential in nature

Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (5, ln(25)).

A: To determine the equation of tangent line at given point.

Q: An investment of $9,000 earns interest at an annual rate of 6.5% compounded continuously. Complete A...

A: Use the following formula,

Q: Use the definition if the derivative to find dy/dx for the function y=1+×/3x

A: To determine the derivative of given function by using the definition.

Q: (c) f(x) = x

A: take log on both side and using the property.

Q: Express -x 2dx as aumit X eSS OF ngnt -hard Riemann Sums las the definition Of the indlefmite T cuva...

A: Given integral

Q: dy given the following Find dar 24sin(ry) dy da

A: The given equation whose derivative is to find is:

Q: 1. Find the following limits. e3r lim 3.x е (a) (b) lim e3/(2-a) lim In(1x2 - In(1 x (c) _ (d) lim l...

A: Click to see the answer

Q: Can you help with this problem step by step?

A: The given function is

Q: Find the derivative F(x)=x^3(x4/3 -1)

A: Please see the white board.Recall the famous rule of differentiation: d(xn) / dx = nxn-1

Q: 10 0 x 2 et where x thousand lipsticks were sold per week at a price of p dollars each. At what pric...

A: Given:

Q: h9HXth*x f3.1) he mt itextsS St ,2)

A: Given:

Q: I need help with g. and h. NOT THE REST OF THEM.

A: Given functions are

Q: Find the values of u and the value of Duf(1,-1) (the directional derivative at 1,-1) for the followi...

A: It is given that,

Q: A tank contains 5000 L of pure water. Brine that contains 30 g of salt per liter of water is pumped ...

A: Obtain the limit of the concentration as t approaches infinity as follows.

Q: Optimization: You and your classmates have decided to enter an ice sculpting contest. Before you beg...

A: We are given that we must create a block of ice with the following strict requirements:The volume mu...

Q: Can I get help with this problem step by step?

A: The gives figure is shown below:

Q: Find the equation of the tangent line to the curve y=5sec(x)−10cos(x)y=5sec(x)−10cos(x) at the point...

A: To determine the equation of the tangent to the given curve in the specified form

Q: Match the blue graph of each function to the black graph of its derivative by writing the letter (A,...

A: Consider the first function:

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: To determine the inside, outside function and derivative of the function with respect to x.

Q: Problem 2: For the following statements, say whether they are true or false. If true, provide a brie...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: Find a rectangular-coordinate equation for the curve by eliminating the parameter. x = 2 cos(t), y =...

A: Given parametric equations are

Q: Change from rectangular to spherical coordinates. (Let p 2 0, 0 < 0 < 2n, and 0 s p n.) (0, 2 3, 2) ...

A: Formula for the converting rectangular coordinates to spherical coordinates.

Q: find the critical numbers of the function

A: Firstly, we find h'(t) for given function h(t)

Q: Use the given parameters to answer the following questions. If you have a graphing device, graph the...

A: Click to see the answer

Q: Find the solution of the differential equation dy/dx=x/y that satisfies the initial condition y(0)=−...

A: Given a differential equation and an initial condition,

Q: U Problem 5: (a) Evaluate: 6 x cos(5a+ 2) lim x-0 9x- 4 (Hint: The squeeze theorem may be helpful.) ...

A: Given limit

Q: Can you help with this problem step by step?

A: Given: -

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter an...

A: First, to find equation of the tangent to the curve by without eliminating method:

Q: Evaluate the following limits. If needed, enter INF for oo and MINF for -oo. (a) -)= x 5x1- x lim (b...

A: Evaluate the following limit,