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Q: Advanced Math Question

A: (1) Function ht=15+60t-16t2 Given that value t=10 h10=15+60×10-16102=15+600-16×100=15+600-1600=615-1...

Q: A wall 2.245 m high ia x meters away from a building. The shortest ladder that can reach the buildin...

A: Consider a right angled triangle ABC.  Then sin θ=ABAC and cos θ=BCAC. Also the maximum and minimum...

Q: How do i solve this problem? how is the graph created? What does the vertex and edge represent

A:  

Q: | cos 3xdx=

A: The given integral is ∫cos3x dx. Let u=3x. Then du=3 dx.  

Q: Simplify: (5*-1.52*+2) : 25 = Select one: 52-1 O a. O b. 52**1 53+1 C. d.

A: Given expression is: 5x-1.52x+2:25 Rewrite given expression: 5x-1+2x+2:25 Simplifying expression: (5...

Q: Which of these numbers are solutions of the inequality 13 > 3- 2w? -5, -4, -6, -3 Select one: a. -4,...

A: Solve the inequality by performing basic algebraic operations. Use the fact, if -x<y , then x>...

Q: According to the Master Theorem, what T(n) = 4T() +e(n°) 2

A: Given; Tn=4Tn2+θn0

Q: sin (kx) 1 det sin x lim ) k=1

A: We have to evaluate limx→0∑k=1n1sinxdetsinkxx12

Q: Question 2 An orange is shot up into the air with a catapult. The function h given by h(t) = 15 + 60...

A: The domain of a function is the set of all values for which the function is defined. For example if ...

Q: A surveyor sights on a survey marker that is 132.3m distant. She needed to turn her transit (her sur...

A: Let triangle B=37°, C=68° and c=132.3 The remaining angle is  180°-75°-68°=37° This is the angle opp...

Q: f (1, 2) = 3 and the derivative of the function f at the point (1, 2) in the direction of i + j is g...

A: Given that, f(1,2)=3 The direction is i+j. And the distance is 0.7.

Q: 41. The function f is differentiable and satisfies the properties that f(3) = 7 and f'(3) = 2. If th...

A: Given: The function f is differentiable and satisfies the properties that f(3)=7 and f'(3)=2.The tan...

Q: Given f(x, y) = ye" + 2ry³ + xy, find fzz, fzy, fyz, and fyw

A: Use partial differentiation to determine the values of given terms. Partial differentiation is diffe...

Q: Determine whether the following statements are true or false and explain why.

A: Given that E is the set of possible ways that five people can form a line. Then there are 5 ways to ...

Q: C dady y!/3 Reverse the order of integration and evaluate the integral.

A: On Change the order of integration will  not effect the solution. By changing the order of integrati...

Q: 11 A B then the values of A and B are If (х-5Xx +6) х-5 х+6

A: The given partial fraction is 11x-5x+6=Ax-5+Bx+6. Rewrite the given equation as follows. 11x-5x+6=Ax...

Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the ...

A: Given region is bounded by y=6-x , y=x, y=0. We will first draw the region and then use the formula ...

Q: question in the image

A: Given that the function fx=1x2-4x-12. We have to find its vertical asymptotes. Vertical asymptote: F...

Q: ∑n=1∞3⋅7⋅11⋯(4n−1)4⋅9⋅14⋯(5n−1).∑n=1∞3⋅7⋅11⋯(4n−1)4⋅9⋅14⋯(5n−1).   Which test is the best test to us...

A: Given: ∑n=1∞3.7.11....4n-14.9.14....5n-1

Q: Graph the inverse of the provided graph on the accompanying set of axes. You must plot at least 5 po...

A: First make the table for the five points of f−1x, which is given below fx0,40,6−1,53,33,7f−1x4,06,05...

Q: Find the values of sin t, cos t, tan t, csc t, sec t, and cot t if V3 P = 2 is the point on the unit...

A: To determine the values of the trigonometric function corresponding to the angle (t) formed by the p...

Q: instructions in photo

A: The average rate of change of a function, y=f(x) , over the interval a,b is calculated using the for...

Q: Evaluate: [ 41te¬t2dt

A:

Q: Determine solutions for the equation 5sin2x + 2sinx = 0 in the interval xE [-2π, 2π] algebraically.P...

A: Given that 5sin2x+2sinx=0 Let , fx=5sin2x+2sinx where x∈-2π,2π.  

Q: d. evaluate f at its critical points and at the endpoints of the given interval. identify local and ...

A: We are given : f(x)=x+sin x , 0≤x≤2π⇒f'(x)=1+cos xNow, for critical points ,f'(x)=0⇒1+cos x=0⇒cos x=...

Q: Please solve this

A: We have to sketch the curve of the vector function rt=ti+4costj, and to indicate the orientation of ...

Q: Compute etA for 3 3 4 A = 1 2 1 -1 -3 -2

A: Use the Taylor series of ex to solve the expression. Convert the equation into matrix equation and t...

Q: 13. A point moves along the curve y = x² +2 so that the x-coordinate is increasing at the rate of 3 ...

A: y=x2+2 since x coordinate is increasing at the rate of 3 units per second.where x and y are coordina...

Q: instructions in photo

A: We need to find the average rate of change of the function f(x) on the interval -6≤x≤-1

Q: s, p°+ 3 xp²- yp²-3xyp = 0 find the differential equation

A: Given: p3+3p2−y3p2−3y3p=0 The standard notation for p is p=dydx.

Q: Find the volume of the solid generated in the following situation. The region R in the first quadran...

A: Rewrite the function y=2-x in terms of y. y=2-xx=2-y Rewrite the function y=2-2x in terms of y. y=2-...

Q: 2

A: We are given : y=xe2x---(1) Taking  log both sides, we have : ⇒log y=e2x log xNow Differentiating bo...

Q: Evaluate the integral

A: The given function is x4dx+xydy By green's theorem, the integral becomes, ∫06∫06∂M∂y-∂N∂xdxdy where ...

Q: 5. A sheet of cardboard 3 ft by 4 ft will be made into a box by cutting equal-sized squares from eac...

A: The volume of the box can be obtained using the formula v=l×w×h. Here, l is the length , w is width...

Q: Graph one cycle (provide table with points) and identify the period of this function

A: Given function is                                                  y=5tan3x we know that period of t...

Q: The community park has a swimming pool enclosed by a regular fence for sunbathing measured at 112 fe...

A: The perimeter of a rectangle of length l and breadth b is given by the formula: Perimeter = 2length+...

Q: X - Find an algebraic expression for : sin(tan-1x– cos-1)

A: In the given question we have to find the algebraic expression for the relation sintan-1x-cos-1x2. f...

Q: Solve the following initial value problem (y)dx+(y4-4x)dy=0 with x(2)=5/2.  For your final answer, i...

A: Given,      (y)dx+(y4-4x)dy=0  and   x2=52

Q: Evaluate the iterated integral by converting to polar coordinates.

A: Given ∫0a∫-a2-y20 x2ydxdy

Q: A rectangle is placed inside a semicircle of radius r, with one side along the diameter. What is the...

A: Given :-  A rectangle is placed inside a semicircle of radius r , with one side along the diameter. ...

Q: Given a function of the form y = a[k(x – d)]n + c, where k > 0, the transformation that occurs by...

A: Given: To explain the correct option of the given statement as follows,

Q: Find the first five nonzero terms of a power series solution about t=0 for the ODE y''+ty=0. Simplif...

A: Let the solution of the equation be y=∑n=1∞antn. On differentiating, y'=∑nn=1∞antn-1 Again different...

Q: 4. A spherical snowball is being made so that its volume is increasing at the rate of 8 ft³ /min. Fi...

A: Differentiate both sides of the equation, V=43πr3 with respect to t to establish a relation between,...

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at t...

A:

Q: The graph below depicts a function f(x). Its two asymptotes are indicated in red:

A: Given, Graph of function fx has two asymptotes which are indicated in red. Graph of function gx has ...

Q: Let R be the region in the first quadrant bounded by the graphs of y = 4 cos and y = (x – 2)´, as sh...

A: Given that y=4cosπx4,y=(x-2)2 The objective is to find the volume, V=π∫abf(x)2-g(x)2

Q: Is the ODE (sin(x-y)+1)dx=(sin(x-y)-2y)dy satisfied by the implicit solution x+y2=cos(x-y). Show you...

A: An implicit function, however, is an equation that defines a relationship between two or more variab...

Q: Use the graph to solve forx if 2*+2 > -4x2 – 8x + 4

A:

Q: The integrating factor of the linear first order differential equation dy dx sin2x- y+tanx Oa None o...

A: The standard formula for the linear differential equation is dydx+P(x)y=Q(x). Here, P(x), Q(x) are t...

Q: 4. Sketch the curve of r2 = cos 20 and find the area that encloses it. Show your complete solution.

A: In polar coordinates,  r=x2+y2, θ=tan-1yx Converting the polar equation to cartesian coordinate x2+y...