2t dt Vel +3

Q: 4. Find the equation of the tangent to h(x) = x´sin(2x) at x = 1 [no unit circle needed]

A:

Q: Question Select your answer. A ball is thrown vertically upward. Its height h feet after t seconds…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: प- १ + का वपू

A: Let ,I=∫y-2+1dyput y-2+1=udifferentiate w.r.t.y12y-2dy=dudy=2y-2dudu=2(u-1)duI=∫u2(u-1)duTake the…

Q: Answer the following True or False. If f(x)dx 0 and f(x) is continuous, then a = b. O True O False

A:

Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 4. у %3D a sin(2x + 3)

A: To form the differential equation for the given function.

Q: The graph shown below is f(x) = 2 cos x. If g(x) = Sřf(t)dt , find g '( 1 ). %3D 4 3- 2- 54 3 2 -1 1…

A: Use the Newton Leibniz Theorem and calculate the derivative.

Q: 2. What is the slope of the line tangent to the curve 8x³ – y² = 4 at the point (1,-2)? 3. What is…

A: Since first subparts question statement missed. Answer 2 and 3

Q: The graph shown below is f(x) = 3 sin x. What is the integral function g(x) that defines the area…

A:

Q: Q4: Evaluate each of the following integrals: (a) | (4+ cos x)· sin x dx (Substitution)

A:

Q: On which interval is the function increasing? * 40- 20- 2. 20- -40- O (- 3, 3) O (3, 5) (- 5, - 3) O…

A:

Q: What is the maximum value of f(x)= 2x4+16x3+40x2+64x+7 on [-8,-2]? a. -57 b. 4 096 c. -121 d. 2…

A: Given: fx=2x4+16x3+40x2+64x+7 ; x∈-8, -2   As we know that; The Power law; ddxxn=nxn-1

Q: Use an Addition or Subtraction Formula to find the exact value of the ex CoS 12

A: we want to find the value  cos7π12

Q: rals below. For each integral, first calculate the related indefinite inte- on by Parts, then…

A: We will find the integration.

Q: 2. Find the differential equation of the family of circles having their center on the y-axis.

A:

Q: 4) represent the jollowing angles an higono metric cirde a7. + K2n 3. 4. c7 t. Eld

A:

Q: 2. Evaluate the improper integral. e COs x dx

A: I=∫0∞ e-x cosx dx Integration by parts;Formula:∫(uv)dx=u∫vdx -∫dudx ∫vdx dxu=cos x, dudx=-sin…

Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

A:

Q: Direction: Solve the following equations using separation of variables. 4. sin(x)dx + ydy = 0, y(0)…

A: Given

Q: Solve the following system of PDES. Uzz = 0, Uzy = 0 0, uzy = 0

A:

Q: CSC* x dx cot2 x cot²

A:

Q: 3. Find the centroid of the region bounded by the parabola y? = 4x, the y-axis, and the line y = 4.

A:

Q: The function:  f(x)=2x^3−36x^2+210x−3 has two critical numbers. The smaller one is x= The larger…

A:

Q: Consider the following. u = -9i – 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

A: Explanation of the answer is as follows

Q: Let there be the random vector Z E Rm Prove that E (||Z||*) = tr(E[ZZ"]) From the expression above,…

A: The answer is in step 2.

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given line x-38=y2=z-714=tAny point on the line is of the form,x=3+8t,y=2t,z=7+14t,Put…

Q: 1. Use a Trigonometric substitution to evaluate the following: Vy² – 25 -dy,y > 5 y Include a sketch…

A:

Q: Find the slope of the line that is tangent to the graph of f(x)=3x²-2 at P(-3, 25). O -3/25 O 27 O…

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: 5. For f(r) = e (x - 5), find a). the domain, b). f', critical points, %3D c). the local maxima and…

A: As per our guidelines, I can answer maximum three subparts of a question. Since you have asked for…

Q: Use the series representation for cos x, cos x = 1 – + to find the following three items: 6! 1- A…

A:

Q: find the derivative dy/dx of the functions xlny+ylnx=1

A:

Q: Use vectors to show whether or not the points form the vertices of a parallelogram. (1, 1, 3), (4,…

A:

Q: d) 2х3у + e2y — 4х + 5x2. e) y = (2x* + 4)*x %3D

A: We have to find the derivative

Q: In cach of the following, write the matrix A as a product SDS, where D is a diagonal matrix. ( ) 10…

A: We have to diagnose the above matrix.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: Q.3 Find general solution by separating the variables. i. y3 = (y* + 1) cos x dx. ii. y' = 3x²(y² +…

A:

Q: For an integral of the form f sin™(x)cos"(x)dx, saving one sine factor and converting the rest to…

A: Given data÷

Q: The barrel of a fountain-pen cylindrical in shape is 7 cm long and 5 mm in diameter. A full barrel…

A: Given that the fountain pen barrel is cylindrical in shape.

Q: Evaluate by using homogeneous D.E. 3 (3x? + y²) dx – 2xydy = 0 O ao3 = C(9x³ + y³) O ap3 = C(9x² +…

A: ANSWER: OPTION 2nd

Q: Direction: Eliminate the following arbitrary constants to obtain the DE. 2. у — С1 3D С2е -4х 2. у —…

A:

Q: Find the Laplace Transform of the following functions 2as 4) f(t)=tsinh(at) Ans. F(s)= (s² –a²} |

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Let p(x) be a cubic polynomial with p(7) 0 and p(14) < 0. What can you say about the number and…

A: In this question we have to find the number and locations of zeroes. Note: As per our policy we are…

Q: 1 1 dx

A:

Q: A ball is thrown into the air and its position is given by h(t)=−7t^2+41t+23  where h is the height…

A: Given the position function of the ball is h(t) = −7t2 + 41t + 23

Q: Find the dot product of Á = and B =. Find the scalar product of P = 10î – 4ĵ + 7k and Q = -2î – ĵ+…

A:

Q: A function f(x) has a critical number x=c. Which of the following statements is always true about…

A:

Q: Direction: Solve the following equations using separation of variables. 2. y' = x(1+ y²)

A:

Q: (0, о, 16), (12, 12, 0) (a) parametric equations (Enter your answer as a comma-separated list of…

A:

Q: 3 Given y = (1– V2x)°; Find dy/dx O dy :-3(1 – v22)? de O (E) None of the choices O dy 3(1 – V22)°…

A:

Q: 6) Answer the following True or False: Let  f(x) be a differentiable function, such that f(1)=−9…

A: The solution is given in the next step.