Calculus Question

Q: Use the guidelines of: domain symmetry first and second dervivatives critical points and inflection...

A:

Q: solve for the ganeral solution.  y' + x-1y = cos(x2)

A: Find the general solution.

Q: A hunter is at a point along a river bank. He wants to get to his cabin, located 3 miles north and 7...

A:  To find the distance of hunter walk along the river.Let x be the distance he doesn’t travel along t...

Q: Compute the directional derivatives of the following functions along unit vectors at the indicated p...

A:

Q: Find the Derivative  y = sin(tan(7x))

A: Given:

Q: Use Lagrange multipliers to find the given extremum. Assume that x and y are positive. Minimize f(x...

A: Given functions are,

Q: The limit as x goes to zero of x-1 exists.   True or False?

A: We need to say whether the given statement, “The limit as x goes to zero of x-1 exists.” is true or ...

Q: I need help finding the horizontal and vertical asymptote of the curve for lettter b.

A: Given,

Q: what is x when 16(200/79.2)^2(tan(x))^2-400tan(x)+7+16(200/79.2)^2=0

A: Consider the given equation and make suitable substitution as follows.

Q: ApproximateSin(x) [-pie/2, pie/2]by Riemann sums with the partition P = {-pie/2, -pie/6, pie/6, pie/...

A: For left Riemann sum we use the left points. Left points are -pi/2, -pi/6, pi/6. At them find the f ...

Q: Consider the following.x = 1 + t2y = t2 + t3 (a) Find the following.(dy)/(dx) = (d^2y)/(dx^2) = (b) ...

A:

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: Graph the polar equation r=4/ 2-2 cos theta

A: Given:

Q: The question says: "Find the magnitude and direction (in degrees) of the vector" V=-((sqrt)2)/2 , -(...

A: Refer to the question , we have to find the magnitude and direction (in degrees) of the vector"V=-((...

Q: A rancher plans to make four identical and adjacent rectangular pens against a​ barn, each with an a...

A:

Q: Express the function in the form f°g 1. 3 G(x) 3 2 а. f)x, g) -2 b fx)x, g) 2 с. g(x) x fx) 2 d fix)...

A: “Since you have asked multiple questions with multiple sub-parts, we will solve the first three sub-...

Q: 1. The marginal cost function for a company is given by C'(q)=q^2-16q+70 dollars/unit, where q is th...

A:

Q: find the exact area of the surface obtained by rotating x=t^3,y=t^2, 0<t<1 about the x-axis.

A: y=t^2 so t= sqrt(y)x=t^3= (sqrt(y))^3 = y^(3/2)x=y^(3/2) (graphed this equation)

Q: number 5 please

A: Consider the given function,

Q: Use logarithmic differentiation to find the derivative of the following function: y = (x - 1 / x4 + ...

A: Apply ln on both sides and simplify using properties of logarithm. 

Q: 6. Find the derivative for each function. b. f(x) In 5x3 2)3 f(x) (e*3 2) а.

A: Use exponent rule for exponent 3 and use chain rule for (e^x^3 +2)

Q: Suppose that f(r, y) = x y - y5zz. Find the directional derivative of f(x, y) in the direction of (5...

A: Note:In the question, f(x, y) = x3y - y5z + z. It can be noticed that the LHS is giving information ...

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

A: Separate the integrals. 

Q: Find the partial derivatives, fx and fy, for f(x, y) = (5x + 4y)^10

A: f_x is partial derivative w.r.t. x. Used exponent rule and chain ruleAnswer: f_x= 50(5x+4y)^9

Q: Consider the following 3x4 - 8x3 - 14x2 31x + 6, Р(x) 3 c -2, Show that the given values of c are ze...

A: It is showed that the given values of c are the zeros of P(x).

Q: 9 The table gives the values of a function obtained from an experiment. Use them to estimate f(x) dx...

A: From 3 to 9 if we have to make three subintervals then each subinterval will be of length = (9-3)/3=...

Q: Use the given graph of y f(x) to find the intervals on which f (x)>0, the intervals on which f(x) 0?...

A: When f'(x) > 0, the function is increasing. Please examine the graph. The function is increasing ...

Q: at the point (In 12,2) Find the gradient for the function f(a, y) = y'xe # Find exact values. No dec...

A: The given function whose gradient is to be calculated at a given point is:

Q: Find the maximum and minimum values attained by the function f along the path c(t). (a) f(x, y) = x...

A:

Q: A line perpendicular to another line or to a tangent line is called a normal line. Find an equation ...

A: Slope of the normal line will be,

Q: Find the critical points of f(x) and use the Second Derivative Test (if possible) to determine wheth...

A:

Q: Find absolute maximum and absolute minimum

A: Given,

Q: The top and bottom margins of a poster are 8 cm and the side margins are each 6 cm. If the area of p...

A: Let l be the length of poster and w be the width of poster.The top and bottom margins are 8cm and si...

Q: 3. Use the properties of logarithms to rewrite each expression as a sum, difference, or constant mul...

A: Given:

Q: A sandbag is dropped from a balloon at a height of 60 meters when the angle of elevation to the sun ...

A:

Q: Consider the following. x3 - 4x2 7x 28, Р(x) C = 4 Show that the given value of c is a zero of P(x)....

A: Consider the provided function:

Q: Use the given graph of y f(x) to find the intervals on which f (x)>0, the intervals on whichf (x) 0?...

A: It is known that,

Q: how do you find the central angle of a sector

A: Central angle:             An angle whose vertex is the center of a circle and whose sides passes th...

Q: f(x)=2x^3-(15x^2)-36x+7 on the interval [-6,9]    By the Mean Value Theorem, we know there exists at...

A: Given function

Q: Consider the following. x33x2 16x 48, P(x) C = -3 Show that the given value of c is a zero of P(x). ...

A: Part(a) Given function is P(x) = x3 + 3x2 -16x – 48 Now we have check that c = -3 is root of the P(x...

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

A: The given function is

Q: #4b

A: Given: -

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

A: The statement of the mean value theorem says that, if a function f(x) is continuous and differentiab...

Q: I need help understanding how to solve letter E. Using L'Hopitals rule.

A: To use L’Hospital’s rule, differentiate the numerator and denominator separately with respect to the...

Q: r= 4/ 2-2cos theta. identify the directrix and vertex

A:

Q: identify the equation without applying a rotation of axes. 4x2-8xy+4y2-3x+6=0

A: Consider the provided equation:

Q: Find the average value of the function over the given interval. (Round your answer to three decimal ...

A: Formula for the average value of a function:

Q: f(a+h)-f(a) lim a. Use the definition mian to find the slope of the line tangent to the graph of f a...

A: The given function is,

Q: Use Lagrange multipliers to find the given extremum. Assume that x and y are positive. Minimize f(x...

A: