y = g(x) on [-3, 4] is given by the following curve, which is composed of two line segments and a semicircle: VA Evaluate 2r - 3 -2-3 04-6 2n + 3 ↑g(t)dt = -3

Q: A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the…

A:

Q: Find and classify the critical points of z=(x² - 7x) (y² – 6y). Local maximums: Local minimums:…

A:

Q: 2. Find the inverse of the function. g(x) = = √√2x + 3 x ≥ 3 2

A:

Q: find the coordinates (x and y) where the tangent has a gradient (slope) of 11 the equation of the…

A:

Q: Find the centroid of the plane region bounded by the graphs y = (x - 2)²-4, y = 2³ and 2 = -2

A:

Q: Differentiate the function. -3 f(x) = f'(x)=[ 3x +2 2x-4

A: To differentiate the following. fx=3x+22x-4-3

Q: Using separation of variables technique, solve the following differential equation with initial…

A:

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 5x sin(zy)…

A: To find the direction of the maximum rate of change of the function f(x,y) = 5x sin(xy) at the point…

Q: suppose that we don't have a formula for g(x) but we know that g(1) = -2 and g'(x) = (2 + 15)^1/2…

A:

Q: Find the derivative of the given function. (Remember to simplify the numerator of your answer, but…

A: z(t)=t2+5t+2t+7d dt(tn)=ntn-1d dt(ab)=b×dadt-a×dbdtb2

Q: Find the volume of the solid whose base is bounded by the circle whose center is the origin, whose…

A: The volume of the solid with cross section perpendicular to x-axis is ∫abA(x)dx

Q: The amount A of dollars accumulated after t years through an investment of Ao dollars at an interest…

A: Given query is to find doubling time at indicated rates.

Q: Express log b 5 W Z as a sum and/or difference of logarithms. Which expression is correct? OA. log…

A: Given query is to expand the expression.

Q: (a) by interpreting it in terms of areas. Show the graph! (b) [VI6=240 f(x- (x + √81-x²) dx

A:

Q: Find the limits, if they exist, or type "DNE" for any which do not exist. 1) Along the x-axis: 2)…

A:

Q: Find the interval of convergence of the series. (5x)n 12" n=1 (Use symbolic notation and fractions…

A:

Q: Let f(u) = √u and g(x) = u = 4 + 9x². Find (f o g)'(3). (fog)'(3) = (Type an exact answer.)

A:

Q: cutting

A: A fraction denotes part of a whole. For example: 23 denotes 2 parts out of total 3 parts.

Q: Please answer this question asap I will rate you for sure. find integral of…

A: The solution is shown below-

Q: A top how fast away 12-foot board of from above will 2 3 2 y² = x² + 3x ² the board slips the bottom…

A:

Q: y = sinx, y = csc²x, x Find the area of the region bounded by the curves x = 34. A) 2-√√2 B) 2 +…

A: The given curves are: y=sinx, y=csc2x, x=π4 and x=3π4 Use the common integral formula:…

Q: -. Let f(x) = 3x²(x − 1)². minimum or neither. Als

A: The given function is ; f(x)=3x2(x-1) 7.

Q: Evaluate sech -1(1/4). (You may enter an exact answer involving ln or rounded to four decimal…

A: The given data is: sech-114 Evaluate  sech-114

Q: Answer 1. The position function of an object is given by s(t) = t³ - 15t² +63t, where time, t, is in…

A: We have given position of the object  st=t3-15t2+63t Velocity is given as  vt=s't=ddtst vt…

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A:

Q: 1. Given the graph of f'(x) a. Where does f(x) have a maximum or relative minimum? b. Where does…

A: As per our guidelines we are advised to solve only first three subparts of the question.   Concave…

Q: -en y=4x² + 5x, find dy dt when x= -1 and (Simplify your answer.) dx dt = 4,

A:

Q: Suppose that f(x, y) = x² − xy + y² − 4x + 4y with D = {(x, y) | 0 ≤ y ≤x≤ 4}. 1. The critical point…

A: Given that , fx,y=x2-xy+y2-4x+4y and D=x,y | 0≤y≤x≤4

Q: Given the function of f(x)= −3 + (10/7x) in the interval [−4,−1], find a point x=c between −4 and −1…

A:

Q: Use the figure below to calculate each of the following. Give an exact answer. (2.1, 5.3) (2,5) (a)…

A:

Q: The graph of the function f(x) is provided above. a) Indicate (i.e. check) all labeled points at…

A: A graph of the function is given, we have to find its global extremum and local extremum.

Q: n2x–5x2 8x²+2n²

A: We have to find pointwise limit for given function.

Q: Use the graph of y=e* and transformations to sketch the exponential function f(x) = -x + 2.…

A:

Q: 3. Find the radius of convergence and the interval of convergence of the power series Σ (1-x)n n +1…

A:

Q: Find the absolute maxima for the function: f(x) = 3 Enter the exact answers.

A: We have  fx=3x+sin3xx∈0,2π

Q: Problem 6. Evaluate the volume of the solid region above the paraboloid z = x² + y² and below the…

A:

Q: 3. Find the general solution of these five constant coefficient linear homo- geneous ODES: (a) y" +…

A: General solution

Q: Given the curve Find the following at point P(1,0,0). 1. the unit tangent. 2. the unit normal. 3.…

A: Note:- According to company guideline we can do maximum 3 sub parts, so that i am solving here first…

Q: 11) An elliptical riding path is to be built on a rectangular piece of property that measures 6 mi…

A:

Q: Suppose that one factory inputs its goods from two different plants, A and B, with different costs,…

A:

Q: Suppose f is a function such that f ′ is continuous everywhere, and you know that f has critical…

A: Please see the below picture for detailed solution.

Q: Z = XY X-Y Find the partial derivative of Zxy= = Ans: Zxy: - 2xy (x-Y)³

A: Given: z=xyx-yWe need find zxy.

Q: An mxn lower triangular matrix is one whose entries above the main diagonal are 0's (as in Exercise…

A:

Q: Use series to approximate the definite integral to within the indicated accuracy: 0.7 sin(x³) dx,…

A: I have solved step by step in detail...go through the solution

Q: Find the area between the curves y = f(x) = x³ - 3x and y = g(x)=x√4-x² +x_ on the interval 0 ≤ x ≤…

A:

Q: of f'(1)? Use the chain rule to differentiate f(x) = (x10+ln(x)) 10. What is the value (A) 110 (B)…

A:

Q: Differentiate. y = ³√√x³+3x+1.x4

A: Given function y = x3 + 3x + 13.x4

Q: You can use the "Snip and Sketch" tool to draw the answer choices over the scatter plot to help you…

A:

Q: 7. Find d when 5x² +3x³y -3y³ = 44. Write an equation of the tangent line at the point (2,2).

A:

Q: dy = dx Use separation of variables to solve the differential equation condition y(1) = -2. (Hint:…

A: