- If f(x) = x + 6 and h(x) = 7x – 2, find a function g such that g 。 f = h. °

Q: 2. Solve a. f b. S C. S. dz 22-25 dx 9-4x-x2 dx x²+6x+16 d. S e. S dx dx √25-x2

A: ### Part (a): ∫z2−25dz​This is a standard integral that can be solved by using partial fraction…

Q: 1 2. a) Use the fact that tan x= dx to find a geometric power series 1+x -1 representation for tan x…

A: ###(2)### Part (a): Finding the Geometric Power Series RepresentationTo find the geometric power…

Q: Hi, could you solve this question?

A: Step 1:  Step 2: Step 3: Step 4:

Q: 7. The absolute value function is: f(x) = |x|. This can be expressed as a piecewise function: x ≥ 0…

A: Given: The absolute value function f(x) = |x| as a piecewise functionf(x)=∣x∣={x−x​if x≥0if…

Q: Help

A: Given:Adjacent side to ∠C (which is 50∘ is  b = 18)c is the hypotenuse∠C=50∘ Step 1: Find the…

Q: 5. Solve. Remember to insert units in your final answer. A package of trail mix contains 1.32 kg of…

A: First, we need to convert the weights of the nuts and chocolate chips from kilograms to grams. We…

Q: 1. Laplace's equation uxx + yy = 0 arises in the mathematical study of heat, electricity, and many…

A: To determine which functions satisfy Laplace's equation uxx​+uyy​=0, we need to compute the second…

Q: 00:57 VIIIGIAU Ivaylo Using the Chain Rule or otherwise find Əz ди = and Əz მა || where z = 3 ⋅ y² +…

A: Given the equations,z=3y2+2xyx=3u+2vy=3vu Let us solve for the following partial derivatives by…

Q: =) Find the value of the following 1: tan 150 2: cos Let |A|18 unit with angl 0 = 150 Write as…

A: Let's solve the problems shown in the image one by one:  1a: tan⁡150∘tan⁡150∘ = tan⁡(180∘−30∘)Since…

Q: 38% of what number is 570

A: The problem is asking us to find a number such that 38% of that number is equal to 570. We can…

Q: Verify by substitution that the given function is a solution of the given differential equation.…

A: ANS :7 ​​Fory1​=exCosx​​  Fory1​=exSinx​​     ANS :12 ​​Fory1​=xCos(lnx)​​ Fory2​=xSin(lnx)​​

Q: ☐ ☐ 11. A car which begins at position d = 0, travels according to the following velocity function:…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the possible functions of given that f" (x) = e¯x. ○ f(x) = e−x + 5x - 3 = e−x + 5000 f(x) = e…

A: 1) Given:f′′(x)=e−xThe first derivative is given as:f′(x)=∫f′′(x)dxf′(x)=∫e−xdxf′(x)=−e−x+C The…

Q: hi, could you solve that?

A: A complex number z  can be expressed in exponential form asz=reiθwhere r = |z|  is the magnitude of…

Q: A graphing calculator is recommended. Let f(x) = 4ex cos(x). (a) Find f'(x) and f'(x). f'(x) = 4e…

A: Ans (a):Ans (b) :We will graph using a graphical calculator (question allows it)We put the equation…

Q: Hi, could you solve this question? part a and b.

A: Detailed explanation: Part (a) 1. Find a normal vector to the plane T.The equation of the plane T is…

Q: sist with filling out this form. 1. Consider the parametric curve given by x(t) (a) (15 points) Find…

A: (a) Finding dtdx​,dtdy​, and dxdy​1. Calculate dtdx​: x(t)=21​+cos(t)dtdx​=−sin(t)2. Calculate…

Q: solving problem 5 below, can you please explain each step you take that I haven't taken. Thanks!…

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

Q: Help solve problem in picture show work so I can understand how to solve

A:

Q: We seek to maximize the volume of a cylinder, V = πr²h, but its radius and height sum to one, i.e. r…

A:

Q: 4. Suppose that the following information about a function f is known. It has continuous partial…

A: To find the gradient of the function  f  at the origin given the directional derivatives, we need to…

Q: Please help with image

A: Step 1: Step 2: Step 3: Step 4:

Q: QUESTION 9 [10 marks] A pentagon having vertices (0; 1), (2; 2), (4; 0), (2; -2) and (0-1) is…

A:

Q: I am studying for a test I have tomorrow, this is one of the example problems that will be one the…

A: Step 1:Step 2:More Explanation:Graph: The curve is a parabola because the work is proportional to…

Q: i need someone to help me. when i graph and draw discs, they only touch the absolute value of x. how…

A: In this problem, we can use the washer method.V=π∫ab​[R(x)2−r(x)2]dx First, we need to graph the…

Q: Given the accompanying graph of f(x), determine all values c guaranteed by the Mean Value Theorem…

A: Step 1: Recall that the mean value theorem says the following:If f(x) is a real valued function…

Q: 2. For each of the following functions, give the domain and range using interval notation, showing…

A: Step 1:Let's solve each part one  by one:(a) The given function is:f(x)=16−x2​x−2​We know that; the…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Step 1: Step 2: Step 3:

Q: Let f(x)=11/x^2 + 1 . Enter anti derivative

A:

Q: 2. Consider the two vectors in R³ with components u = (2,-1,-1) and v = (-2,1+ √√3,1-√3). (a) (12…

A: Step 1: Step 2: Step 3: Step 4:

Q: 2. Let f(x)=sin(2x). Explain using Riemann sums why ca+1 define g(a) = ,"" f(x) dx doesn't depend on…

A: Step 1:Step 2: Step 3: f(x)=sin(2πx) Over One Period:The second graph shows f(x)=sin⁡(2πx) over the…

Q: Find the point - on the sphere (x - 4)² + y² + (z − 8)² = 1 nearest to the point (6, 0, 8).

A: To find the point on the sphere((x−4)2+y2+(z−8)2=1)that is nearest to the point ((6, 0, 8)), we'll…

Q: Approximate the area under the curve y = x^2 − 4x + 3 on the interval [0,5] by using i. Right…

A: Step 1: Understanding the Problem The curve is described by the function:y=f(x)=x2−4x+3We want to…

Q: Hide AnswerHide SolutionTry Another Consider the following vectors. (9, 3, 1), (−1, 1, 0)…

A: The given vectors are:A = (9, 3, 1)andB = (-1, 1, 0)

Q: Evaluate the limit if it exists

A: We findlimn→∞​xn​, where x_1 = 1 and xn+1​=5xn​+3​. We can proceed as follows:1. Show that the…

Q: 3. Use Green's Theorem to prove the change of variables formula for a double integral in the special…

A:

Q: MATH 1001(001-081) Question #9 Please answer the following. a) Populations of birds and insects are…

A:

Q: 2) For the equation x + y = 1, find and simplify dy (a) dx d²y (b) dx²

A: Step 1: Step 2:

Q: (a³b^5) x (a²b³) =

A: We know that,pq×pr=p(q+r) So,a3×a2=a(3+2)          =a5 b5×b3=b(5+3)          =b8 So, to find (a³b^5)…

Q: 1. (18 points) Let u(t) be a differentiable vector function such that |u(t)| = 1 for all t. You may…

A:

Q: Hi, could you solve this question?

A:

Q: Evaluate the following limits when they exists: x+x3x²+1 (a) (5 points) lim→>-1 x+1

A: To evaluate the limit limx→−1​x+1x4+x3−x2+1​, we first check if direct substitution leads to an…

Q: You must show all necessary work as neatly and clearly as possible and clearly indicate your final…

A: Step 1: Step 2: Step 3: Step 4:

Q: please someone explain step by step im getting confused

A: If you have any questions let me know in comment box thankyou for your question.

Q: s(t)=-4.9t2 + 32t+ 21 at t = 3 Time Interval Average Velocity [3,4] [3,3.1] [3,3.01] -2.3 0.211 2.6…

A: Given position function with respect to times(t)=−4.9t2+32t+21The average velocity for a time…

Q: please Help with Calculus question

A: We are given a table of values representing the rate at which a combine harvests soybeans. We need…

Q: (2)

A: The problem is asking us to find the value of the function g(0). The function g(x) is defined as…

Q: Let f(x,y,z) = 2 In (xy+2). Find f(0,1,3), F(-1,-2,4 and F(2,1,-1).

A: We have a function f(x, y, z) = zln⁡(xy + z). We need to evaluate this function at three different…

Q: Please explain how to solve

A: Step 1: Step 2: Step 3: Step 4:

Q: 4. Assume that the curvature of a path described by the vector-valued function r(t) can be ||r' (t)…

A: Question 4:  STEP 1: Define the vector function:For a curve given by y=f(x), we can express it as a…