Let f(x)=7x²-2x and g(x) = 5x+3. Find f[g(k)].

Q: 5. Please solve this for me and show every single step. I am studying  and got stuck on this…

A: To find the area between two curves, we first need to find the points where the curves intersect.…

Q: Find the distance (d) from the point (8, -7, -1) to the plane 3x+5y-3z = -60.

A: Step 1: Step 2: Step 3: Step 4:

Q: Sketch the graph of a function that satisfies all of the given conditions. f '(5)  =  0,    f…

A:

Q: 1 1+x 26. Derive the formula: tanhx=-In- 2 1-x ; x<1

A: Ans 26 page 1:Ans 26 page 2:

Q: For number 4 the answer is B Could you explain why

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Question 2 (1pt). Evaluate the following (definite and indefinite) integrals (a) / (e² + ½) dx (b) S…

A: If you have any problem let me know in the comment section thankyou.

Q: help

A: (1)For f(3), we can interpret that as the value of the function f at x=3.From the graph, at x=3, the…

Q: dw z = Find using direct dt If w = + x = (cost), y = (sint), z= substitution and chain rule methods.

A: We are given the following functions:w=x+ywherex=cos(t)andy=sin(t)The derivatives of these functions…

Q: Use the method of disks to find the volume of the solid that is obtained when the region under the…

A: Step 1: Step 2: Step 3: Step 4:

Q: the answer is Dcould you explain how using the curland also please disprove each option that is…

A: We are given the vector field: F(x,y,z)= (x1​+x2,5,z21​+z2) and the domain:…

Q: O Prove that the function f(x, y) = (x² + y²)e-(x²+y²) has infinitely many critical points and…

A: Prove that the function  f(x,y)=(x2+y2)e−(x2+y2) has infinitely many critical points and classify…

Q: Solve π сах 1- / Sea costand x 2- π -πL {"e" -J xd ax sin(x) dx

A:

Q: Find a · b. a = 2 = (3, 1, 1), b = (7,-5, -6)

A: Step 1: Identify the formula to be useda • b = a1b1 + a2b2 + a3b3  Step 2: Identify the givena =…

Q: Examples: Solve the following differential equation using Laplace transform (a) y" +2y+y=t with y(0)…

A:

Q: #8 (a) Find the equation of the tangent line to y = √x+3 at x=6 (b) Find the differential dy at y =…

A: If you have any problem let me know in the comment section thank you.

Q: 4 Consider f(x) periodic function with period 2, coinciding with (x) = -x on the interval [,0) and…

A: Step-by-Step Detailed SolutionYou are given a periodic function f(x) with period 2π, defined as:f(x)…

Q: For what value of A and B the function f(x) will be continuous everywhere for the given…

A:

Q: Example: Find Fourier integral for [1 |x|1 1/

A: 1. Fourier Transform of f(x):  2. Evaluate the Fourier Integral:  3. Deducing   Final Answer:…

Q: Find area of the sec

A: The formula for the area of one sector is:A=21​r2θWhere r is the radius and θ is the central angle…

Q: Find area of sector for number 14

A: 14.  Asector​=21​r2θr=7.1 cm; θ=5π/3 Asector​=21​(7.1cm)2(35π​)Asector​=131.9730714cm2

Q: 4. Please solve this for me and show every single step. I am studying  and got stuck on this…

A:

Q: (4) (8 points) (a) (2 points) Write down a normal vector n for the plane P given by the equation…

A:

Q: #35

A: 29. Points: (-4, -2) and (-2, 1)Find the slope (m): m = (y2 - y1) / (x2 - x1)  m = (1 - (-2)) / (-2…

Q: Question 15 ✓ 6 pts 1 Details The function shown below is f(x). We are interested in the transformed…

A: Now, let k(x)=3h(x)=3f(2x).The graph of k(x) will obtain by stretching the graph of h(x) 3 times in…

Q: #9

A: Step 1:Step 2:Step 3: Step 4:

Q: 8d6 عدد انباء Q/ Design a rectangular foo A ing of B-2.75m to support a column of dimensions (0.46 x…

A:

Q: 2 prove that Dxy #Dx Dy

A: We want to prove that: D(xy) ≠ D(x)⋅D(y) This means:The derivative of the product of x and y is NOT…

Q: 1 pts Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) =…

A:

Q: "P3 Question 3: Construct the accessibility matrix Passociated with the following graphs, and…

A: Step 1: Constructing the Accessibility Matrix PThe accessibility matrix (adjacency matrix) P…

Q: A circle of radius r centered at the point (0,r) in the plane will intersect the y-axis at the…

A:

Q: Evaluate the definite integral. Sketch the area of the region given by the definite integral. Leave…

A: To evaluate the integralwe need to get the antiderivative of each expressionThe antiderivative of x2…

Q: Draw the unit circle and plot the point P=(8,2). Observe there are TWO lines tangent to the circle…

A: Let's solve the problem step by step to find the correct answers. We are working with the unit…

Q: A function is defined on the interval (-π/2,π/2) by this multipart rule: if -π/2 < x < 0 f(x) = a if…

A:

Q: Use series to evaluate the limit. lim X-0 12 2 - + x − In(1 + x) X

A: If you have any problem let me know in the comment section thankyou.

Q: 6. Graph the function f(x)=log3x. Label three points on the graph (one should be the intercept) with…

A: The logarithmic function log⁡3(x) is defined as the inverse of the exponential function 3xImportant…

Q: I need some help with this problem

A:

Q: Total marks 15 5. (i) Let f R2 R be defined by f(x1, x2) = x² - 4x1x2 + 2x3. Find all local minima…

A: 5 (i)(ii)6(i)

Q: = x³, y = 8, x = 0. Let R be the region bounded by the curves y = x³ 1. Sketch the region and find…

A:

Q: x³-343 If k(x) = x-7 complete the table and use the results to find lim k(x). X-7 x 6.9 6.99 6.999…

A: To complete the table, we'll substitute each value of x into the function k(x) and calculate the…

Q: The cup on the 9th hole of a golf course is located dead center in the middle of a circular green…

A: QUESTION 1: x-coordinate when the ball enters the green Step 1: Find the equation of the circle…

Q: Calculate the limit lim X-a x-a 5 using the following factorization formula where n is a positive…

A: Step 1: solution  Step 2: Step 3: Step 4:

Q: Find a vector (u) with magnitude 7 in the direction of v = (2,4) Give EXACT answer. You do NOT have…

A:

Q: A vector with magnitude 5 points in a direction 190 degrees counterclockwise from the positive x…

A: We need to express the given vector in component form using its magnitude and…

Q: 3. Let f R2 R be a function. (i) Explain in your own words the relationship between the existence of…

A: ### (i) Relationship Between Existence of Partial Derivatives and DifferentiabilityThe existence of…

Q: Question Determine lim f(x) given the definition of f(x) below. (If the limit does not exist, enter…

A: I have solved the problem and given the answer with proper steps and explanation. Kindly check it…

Q: y = f(x) b C The graph of y = f(x) is shown in the figure above. On which of the following intervals…

A:

Q: Find the equation of the line / in the figure below. Give exact values using the form y = mx + b. m…

A: Given the function  f(x)=10x and  Point : x=log⁡(9) Put the value of x=log⁡(9) in f(x),…

Q: 4. Let F RNR be a mapping. (i) x ЄRN ? (ii) : What does it mean to say that F is differentiable at a…

A: ### (i)Definition of Differentiability:A mapping  F:RN→Rm  is said to be differentiable at a point…

Q: 4. Su Write out the first four terms of the Maclaurin series of f(x) if f(0) = -9, f'(0) = 4, f"(0)…

A: Step 1: The given values:We are provided with the following…

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: Part a) Vector Equation of the Line Through Points A and B:Step-by-step process:Given points:Point A…